Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze571.0ms (5.8%)

Memory

-1.3MiB live, 188.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
0%	0%	0%	100%	0%	0%	0%	8
0%	0%	0%	100%	0%	0%	0%	9
0%	0%	0%	100%	0%	0%	0%	10
50%	0%	0%	100%	0%	0%	0%	11
50%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample1.9s (19.6%)

Memory

63.7MiB live, 1 873.8MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-div: 242.0ms (21.1% of total)

ival-mult: 229.0ms (19.9% of total)

ival-<=: 211.0ms (18.4% of total)

const: 204.0ms (17.8% of total)

ival-exp: 84.0ms (7.3% of total)

ival-sinh: 63.0ms (5.5% of total)

ival-and: 47.0ms (4.1% of total)

ival-neg: 35.0ms (3% of total)

ival-<: 18.0ms (1.6% of total)

exact: 13.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain156.0ms (1.6%)

Memory

-14.6MiB live, 219.7MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
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))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
3	(-2.7833221546731915e-23 -2.8667762506384932e-30 3.822995539522244e-15 6.149544035839484e-32 0.1104004755616188)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	(-3.6823211588111e-20 -1.5612013374534655e-26 -5.151068344280273e-16 -4.181313809688473e-31 0.6810019612312317)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	3	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	80
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	3	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	84

Confusion

	Predicted +	Predicted -
+	0	0
-	6	250

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	6	0	250

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

57.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (37.3% of total)

ival-div: 13.0ms (34.6% of total)

ival-exp: 4.0ms (10.7% of total)

ival-sinh: 4.0ms (10.7% of total)

ival-neg: 2.0ms (5.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess147.0ms (1.5%)

Memory

1.2MiB live, 127.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	575	449
2	2202	420
0	19	22
0	31	22
1	71	22
2	219	21
3	1057	21
4	5884	21
0	8364	21

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i 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
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify102.0ms (1%)

Memory

11.4MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
cost-diff	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))
cost-diff	1	(.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)

Iter	Nodes	Cost
0	19	92
0	31	92
1	71	92
2	219	90
3	1057	90
4	5884	90
0	8364	90

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

Outputs
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (/.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)

localize52.0ms (0.5%)

Memory

-10.2MiB live, 58.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

42.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38% of total)

ival-div: 7.0ms (33.2% of total)

ival-exp: 3.0ms (14.2% of total)

ival-sinh: 2.0ms (9.5% of total)

ival-neg: 1.0ms (4.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series57.0ms (0.6%)

Memory

4.4MiB live, 66.4MiB allocated

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 cosTheta_i cosTheta_O) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) 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:

Time	Variable		Point	Expression
6.0ms	cosTheta_i	@	-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) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) 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) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
5.0ms	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) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) 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) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_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) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify179.0ms (1.8%)

Memory

4.6MiB live, 163.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280

Stop Event

1×	iter limit
1×	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 (-.f32 (.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) (.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v))) 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 (-.f32 (.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) (.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 cosTheta_O v))) 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 (-.f32 (.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)) 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 (-.f32 (.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)) 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 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (-.f32 (.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)) 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))

rewrite665.0ms (6.7%)

Memory

-154.9MiB live, 241.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 588

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 cosTheta_i cosTheta_O) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)

Outputs
(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) cosTheta_i)
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_O v))
(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (neg.f32 v)))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (pow.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 cosTheta_O cosTheta_i)) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 cosTheta_O cosTheta_i))) v)))
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(fma.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) cosTheta_O) (/.f32 cosTheta_i v) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) cosTheta_i) (/.f32 cosTheta_O v) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 cosTheta_O v)) cosTheta_i (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 cosTheta_O v)) cosTheta_i (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal 2 binary32))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.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)))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) 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) (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) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (neg.f32 v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (neg.f32 v)))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) #s(literal 2 binary32)))
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(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) v) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (neg.f32 v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (neg.f32 v)) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
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(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_O v) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
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(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (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)))))
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(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (+.f32 (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) #s(literal 2 binary32)) (.f32 (sinh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (cosh.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))))
(-.f32 (log.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))))) (log.f32 #s(literal 2 binary32)))
(-.f32 (log.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))))) (log.f32 #s(literal 4 binary32)))
(-.f32 (log.f32 (-.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))))) (log.f32 #s(literal 2 binary32)))
(-.f32 #s(literal 0 binary32) (log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(+.f32 (log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))))
(neg.f32 (log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(neg.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(.f32 (.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 (.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (neg.f32 cosTheta_O) v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 cosTheta_i) v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1 binary32)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32)))
(*.f32 cosTheta_i (/.f32 cosTheta_O 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) (/.f32 cosTheta_O v)) #s(literal 1 binary32)))
(neg.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))))
(neg.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)))
(.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 #s(literal -2 binary32) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (neg.f32 v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 #s(literal -2 binary32) v) #s(literal -2 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)) v))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (.f32 #s(literal -2 binary32) v)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 v (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v)) (neg.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v)) (neg.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (neg.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 (neg.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))
(/.f32 (neg.f32 (.f32 v (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))))) (neg.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))))) (neg.f32 (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal 2 binary32))
(/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.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))
(/.f32 (.f32 v (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 v (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 #s(literal 4 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) 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 (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))
(neg.f32 (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

eval114.0ms (1.2%)

Memory: -4.1MiB live, 185.8MiB allocated
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune31.0ms (0.3%)

Memory

2.2MiB live, 70.1MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	608	26	634
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	608	27	635

Accuracy

99.6%

Counts

635 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 #s(literal 2 binary32) (.f32 v v)))
	98.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
✓	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	63.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.4%	(/.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))
	98.3%	(/.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 (.f32 cosTheta_O cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
▶	98.6%	(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
▶	98.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.7%	(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	51.5%	#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))
	51.5%	#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)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#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))
▶	57.9%	#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 1 536 to 1 211 computations (21.2% saved)

simplify118.0ms (1.2%)

Memory

18.4MiB live, 144.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
cost-diff	0	(/.f32 (.f32 cosTheta_i (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))))
cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
cost-diff	1	(*.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
cost-diff	0	(exp.f32 sinTheta_O)
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
cost-diff	0	(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	1	(*.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
cost-diff	0	(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cost-diff	0	(.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))
cost-diff	0	(/.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))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff	0	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
cost-diff	0	#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-diff	0	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	1	(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	448
0	90	448
1	197	448
2	583	444
3	2801	440
4	6565	440
0	8380	440

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O v)
cosTheta_O
v
(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cosTheta_i
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
(*.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)
#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))) (-.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 (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))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
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 2 binary32)
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
cosTheta_O
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
v
(/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cosTheta_i
(.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 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)
(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (.f32 cosTheta_i (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))))
(*.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
cosTheta_i
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
v
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O

Outputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_O v)
cosTheta_O
v
(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
cosTheta_i
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v)) (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) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
v
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) v) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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 cosTheta_i (/.f32 cosTheta_O v)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i (/.f32 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)) (.f32 #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 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(/.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
cosTheta_O
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
v
(/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
cosTheta_i
(.f32 (.f32 v (*.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 v (.f32 #s(literal 2 binary32) v))
(.f32 (.f32 #s(literal 2 binary32) v) 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 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_i (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))))
(/.f32 (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
cosTheta_i
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
v
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O

localize116.0ms (1.2%)

Memory

-15.2MiB live, 175.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
accuracy	0.26953125	(/.f32 (.f32 cosTheta_i (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))))
accuracy	0.28515625	(/.f32 (/.f32 cosTheta_O v) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.1015625	(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.24609375	(/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.41244125976844204	(.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.24609375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.04296875	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.2676163086106521	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	13.46843901218639	#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)))
accuracy	0.16015625	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.234375	(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.37890625	(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

82.0ms

256×

valid

Compiler

Compiled 418 to 48 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 23.0ms (40.1% of total)

ival-div: 19.0ms (33.1% of total)

ival-pow: 5.0ms (8.7% of total)

ival-exp: 4.0ms (7% of total)

ival-neg: 2.0ms (3.5% of total)

ival-sinh: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series283.0ms (2.9%)

Memory

18.2MiB live, 332.6MiB allocated

Counts

26 → 143

Calls

Call 1

Inputs
(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O v)
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#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))) (-.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 (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))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 sinTheta_O)
(*.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (.f32 cosTheta_i (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))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O v) v)

Outputs
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O v)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (pow v 2))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_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 (* 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)))))))
(+ (* -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))
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_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_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 (/ 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)))))))
(+ (* 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))
(+ 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 (* 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_O (+ 1 (* 1/2 sinTheta_O))))
(+ 1 (* sinTheta_O (+ 1 (* sinTheta_O (+ 1/2 (* 1/6 sinTheta_O))))))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(exp sinTheta_O)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (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)
1/2
(+ 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)) (* 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 (+ (* -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))))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(* 1/2 (* cosTheta_i v))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (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))))))
(* 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 (/ 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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -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))
(+ 1/2 (* -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 (* 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 (/ (+ (* -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)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(* -1 (* v (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i))))
(* -1 (* v (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 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 (/ (+ (* -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))

Calls

15 calls:

Time	Variable		Point	Expression
91.0ms	cosTheta_i	@	0	((* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* 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))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v))))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v)) (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (* (* v (* 2 v)) (sinh (/ 1 v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v))
42.0ms	sinTheta_O	@	inf	((* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* 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))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v))))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v)) (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (* (* v (* 2 v)) (sinh (/ 1 v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v))
22.0ms	sinTheta_O	@	-inf	((* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* 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))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v))))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v)) (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (* (* v (* 2 v)) (sinh (/ 1 v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v))
18.0ms	cosTheta_i	@	inf	((* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* 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))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v))))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v)) (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (* (* v (* 2 v)) (sinh (/ 1 v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v))
16.0ms	cosTheta_O	@	-inf	((* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* 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))) (- 1 (/ (* sinTheta_O sinTheta_i) v)) (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (* cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v))))) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (exp sinTheta_O) (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v)) (/ (* cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (/ (* sinTheta_O sinTheta_i) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (* (* v (* 2 v)) (sinh (/ 1 v))) (/ cosTheta_i (* (* v (* 2 v)) (sinh (/ 1 v)))) (/ (/ cosTheta_O v) v))

simplify156.0ms (1.6%)

Memory

-9.7MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	780	4025
1	2905	3860
0	8245	3691

Stop Event

1×	iter limit
1×	node limit

Counts

143 → 141

Calls

Call 1

Inputs
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O v)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (pow v 2))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_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 (* 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)))))))
(+ (* -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))
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_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_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 (/ 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)))))))
(+ (* 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))
(+ 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 (* 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_O (+ 1 (* 1/2 sinTheta_O))))
(+ 1 (* sinTheta_O (+ 1 (* sinTheta_O (+ 1/2 (* 1/6 sinTheta_O))))))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(exp sinTheta_O)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (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)
1/2
(+ 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)) (* 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 (+ (* -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))))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(* 1/2 (* cosTheta_i v))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (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))))))
(* 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 (/ 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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -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))
(+ 1/2 (* -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 (* 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 (/ (+ (* -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)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(* -1 (* v (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i))))
(* -1 (* v (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 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 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))

Outputs
(/ (* cosTheta_i (exp (* -1 (/ (* 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))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 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 (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 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_i)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 cosTheta_i (/.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))))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 cosTheta_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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O 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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_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)) sinTheta_i (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.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 sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 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 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i (/.f32 (.f32 (/.f32 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 (* 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)))))
(+ (* -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 cosTheta_i (/.f32 (.f32 sinTheta_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 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (*.f32 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 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_i sinTheta_O) 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) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) 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_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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 sinTheta_O) cosTheta_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)
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* 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 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) v) (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_i)
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_i)
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 cosTheta_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 cosTheta_i) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/ (exp (* -1 (/ (* 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))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i)
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(fma.f32 (/.f32 (neg.f32 sinTheta_O) v) sinTheta_i #s(literal 1 binary32))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))) #s(literal 1/2 binary32) (.f32 cosTheta_i (/.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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_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_O)) sinTheta_O (/.f32 (/.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))))))) (* 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 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (.f32 (/.f32 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 (/ 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 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 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)))))
(+ (* 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 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (*.f32 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 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 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 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 sinTheta_i) cosTheta_O) v) (.f32 (.f32 cosTheta_O (.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))) #s(literal -1/6 binary32))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_O)
(+ 1 sinTheta_O)
(+.f32 #s(literal 1 binary32) sinTheta_O)
(+ 1 (* sinTheta_O (+ 1 (* 1/2 sinTheta_O))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ 1 (* sinTheta_O (+ 1/2 (* 1/6 sinTheta_O))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* 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 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_i)
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))) #s(literal -1/6 binary32))) sinTheta_O (.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_i)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 cosTheta_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 cosTheta_i) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 cosTheta_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 cosTheta_i (.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 cosTheta_i) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(exp sinTheta_O)
(exp.f32 sinTheta_O)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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)
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 3 binary32))))))
(/ (+ (* -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 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_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)) (* 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 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.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 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 cosTheta_i (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))) (*.f32 v 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_i sinTheta_O) 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_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #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))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_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 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (*.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 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.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 (/.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_i sinTheta_O) 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_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 (.f32 cosTheta_i (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(* 1/2 (* cosTheta_i v))
(.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)))
(.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) v)
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) v)
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))))
(.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/2 binary32) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 3 binary32)))))) v)
(/ 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)
(* 1/2 (/ 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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v))) (neg.f32 v))) (neg.f32 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 cosTheta_O (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_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_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
(* -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 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 cosTheta_i (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ 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_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v))
(+ 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_O) sinTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_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 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_i sinTheta_O)) cosTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* 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 (neg.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 (.f32 (.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32))) v))) v))) (neg.f32 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 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) 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_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v) #s(literal -1/6 binary32))) (neg.f32 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 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) 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_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 cosTheta_O (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32))) (neg.f32 v))) v))
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) v))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)))) (neg.f32 v))) v))
(* -1 (* v (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 v) (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* -1/2 cosTheta_i))))
(.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))
(* -1 (* v (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i))))
(.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)))) (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 (/ (+ (* -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 (/.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 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v))

rewrite68.0ms (0.7%)

Memory

30.9MiB live, 59.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	313
0	90	313
1	260	313
0	1290	313

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 488

Calls

Call 1

Inputs
(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O v)
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#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))) (-.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 (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))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 sinTheta_O)
(*.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 (/.f32 cosTheta_O v) v))
(/.f32 (.f32 cosTheta_i (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))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O v) v)

Outputs
(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i)
(.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 cosTheta_i #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (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) v)))
(.f32 (/.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 (.f32 #s(literal 2 binary32) v) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) v)))
(.f32 (/.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) v) (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i #s(literal 2 binary32))) (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) cosTheta_O)
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))
(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i) v))
(.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
(.f32 (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_O v)))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (/.f32 (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 (.f32 #s(literal 2 binary32) v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 #s(literal 2 binary32) v) v))
(/.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i)) (neg.f32 v))
(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) cosTheta_i) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) v)))
(/.f32 (.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 cosTheta_O (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
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(/.f32 (*.f32 cosTheta_i (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (neg.f32 (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_i #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (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))))
(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(neg.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_i) (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 sinTheta_i 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_i sinTheta_O) v)
(neg.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.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_O) cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(.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 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 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 #s(literal 2 binary32) v))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) 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 #s(literal 2 binary32) v) v))
(.f32 (.f32 #s(literal 2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 2 binary32) v) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (/.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 #s(literal 2 binary32) v) v))
(/.f32 (neg.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) v))))
(/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 cosTheta_i (.f32 (.f32 #s(literal 2 binary32) v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) v)))
(/.f32 cosTheta_i (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (neg.f32 cosTheta_i) (.f32 (.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 (*.f32 #s(literal 2 binary32) v) v))))
(/.f32 (/.f32 (neg.f32 cosTheta_O) v) (neg.f32 v))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (*.f32 v v)))
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) v))
(/.f32 (/.f32 cosTheta_O v) (neg.f32 (neg.f32 v)))
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O (*.f32 v v))
(neg.f32 (/.f32 (/.f32 (neg.f32 cosTheta_O) v) v))
(neg.f32 (/.f32 (/.f32 cosTheta_O v) (neg.f32 v)))

eval78.0ms (0.8%)

Memory: -8.2MiB live, 88.0MiB allocated
Compiler: Compiled 18 274 to 2 149 computations (88.2% saved)

prune53.0ms (0.5%)

Memory

-19.8MiB live, 77.4MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	504	31	535
Fresh	11	10	21
Picked	5	0	5
Done	1	0	1
Total	521	41	562

Accuracy

99.6%

Counts

562 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 #s(literal 2 binary32) v) v))
	98.0%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
	98.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	63.6%	(/.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 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	63.6%	(/.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))
	63.6%	(/.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	97.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 #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 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.5%	(.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))))
	98.2%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i (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)))) (/.f32 cosTheta_O (.f32 v v)))
▶	98.5%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	57.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
	57.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	48.1%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
	98.3%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.5%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.4%	(.f32 (.f32 cosTheta_O (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.9%	(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	48.1%	(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) v))
	98.6%	(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	51.5%	#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))
	51.5%	#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)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
▶	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
▶	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
	98.2%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 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)))))

Compiler

Compiled 2 830 to 2 126 computations (24.9% saved)

simplify117.0ms (1.2%)

Memory

8.6MiB live, 94.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)
cost-diff	0	(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
cost-diff	0	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	0	(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
cost-diff	0	(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
cost-diff	0	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
cost-diff	1	(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))
cost-diff	1	(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v)))
cost-diff	1	(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
cost-diff	2	(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i)))
cost-diff	0	(/.f32 cosTheta_i v)
cost-diff	0	(*.f32 #s(literal 1/2 binary32) cosTheta_O)
cost-diff	0	(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
cost-diff	0	(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	1	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	669
0	131	670
1	296	667
2	1039	652
3	5135	652
0	8080	641

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O v)
cosTheta_O
v
(.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cosTheta_i
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v))
(exp.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
sinTheta_O
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v)))
(*.f32 #s(literal -1/2 binary32) cosTheta_O)
#s(literal -1/2 binary32)
cosTheta_O
cosTheta_i
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))
(.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v)))
(fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i)))
(.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))
(.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)
(*.f32 sinTheta_O sinTheta_O)
(*.f32 sinTheta_i sinTheta_i)
(.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))
#s(literal 1/6 binary32)
(*.f32 cosTheta_O cosTheta_i)
v
(neg.f32 v)
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))
cosTheta_i
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 sinTheta_i v)
sinTheta_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(literal 1 binary32)

Outputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 cosTheta_O v)
cosTheta_O
v
(.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (/.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cosTheta_i
(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v))
(/.f32 (neg.f32 sinTheta_i) v)
(neg.f32 sinTheta_i)
sinTheta_i
sinTheta_O
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i cosTheta_i)) sinTheta_O (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i))) v)) (neg.f32 v)))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i cosTheta_i)) sinTheta_O (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i))) v)) (neg.f32 v)))) v)
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v)))
(.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i cosTheta_i)) sinTheta_O (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i))) v)) (neg.f32 v))) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) cosTheta_O)
#s(literal -1/2 binary32)
cosTheta_O
cosTheta_i
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))
(.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i cosTheta_i)) sinTheta_O (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i))) v)) v))
(.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v)))
(.f32 (fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i cosTheta_i)) sinTheta_O (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i))) v)) #s(literal -1/2 binary32))
(fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(fma.f32 (.f32 cosTheta_O (.f32 sinTheta_i cosTheta_i)) sinTheta_O (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (.f32 #s(literal 1/6 binary32) cosTheta_i))) v))
(.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)
(.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (.f32 #s(literal 1/6 binary32) cosTheta_i))) v)
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i)))
(.f32 cosTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O)) cosTheta_i (.f32 #s(literal 1/6 binary32) cosTheta_i)))
(.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i))
(.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 sinTheta_i cosTheta_i))
(.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i)
(*.f32 sinTheta_O sinTheta_O)
(*.f32 sinTheta_i sinTheta_i)
(.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
v
(neg.f32 v)
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) 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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
cosTheta_i
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (.f32 v v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))
(pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 sinTheta_i v)
sinTheta_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(literal 1 binary32)

localize192.0ms (1.9%)

Memory

22.9MiB live, 183.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.24609375	(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.30859375	(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.25390625	(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.28515625	(/.f32 (/.f32 cosTheta_O v) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.24728763393572933	(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v))
accuracy	0.2637100586106521	(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))
accuracy	14.060082608872241	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
accuracy	14.281541754992773	(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v)))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.0	(*.f32 #s(literal 1/2 binary32) cosTheta_O)
accuracy	0.13671875	(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
accuracy	13.46843901218639	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
accuracy	0.16015625	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.234375	(.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.37890625	(/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

147.0ms

256×

valid

Compiler

Compiled 612 to 73 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 43.0ms (35.4% of total)

ival-div: 30.0ms (24.7% of total)

const: 13.0ms (10.7% of total)

ival-add: 12.0ms (9.9% of total)

ival-pow: 10.0ms (8.2% of total)

ival-exp: 6.0ms (4.9% of total)

ival-neg: 3.0ms (2.5% of total)

ival-sinh: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series250.0ms (2.5%)

Memory

-15.9MiB live, 361.1MiB allocated

Counts

25 → 192

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(* cosTheta_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))) v))
(* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))))
(* 1/2 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(/ (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(* -1 (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))))
(* -1/2 (/ (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))))) v))
(/ cosTheta_O v)
(* 1/2 cosTheta_O)
(* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))) v))
(* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))))
(* 1/2 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))
(/ cosTheta_O (pow v 2))
(* -1 (* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(/ (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(* -1 (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))))
(* -1/2 (/ (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))))) 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_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 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)))))))
(* 1/6 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
(* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(/ 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
(+ 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))))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
v
(+ v (* sinTheta_O sinTheta_i))
(+ v (* sinTheta_i (+ sinTheta_O (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(+ v (* sinTheta_i (+ sinTheta_O (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 2))) (* 1/2 (/ (pow sinTheta_O 2) v)))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2)))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)))))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))
(* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* v (exp (/ (* sinTheta_O sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* -1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 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)))))))
(+ (* 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_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ 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)))))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(+ (* 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))))))
(+ 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) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ v (* sinTheta_O (+ sinTheta_i (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(+ v (* sinTheta_O (+ sinTheta_i (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 2))) (* 1/2 (/ (pow sinTheta_i 2) v)))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* -1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 3)))
(/ (+ (* -1/2 (* 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))))) (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)))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (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)))
(/ (+ (* 1/2 (* 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))))) (pow v 2))
(/ (+ (* 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 v))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))) (pow v 2))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (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)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
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))))))
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(* -1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* 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))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/ (+ (* 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 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 (/ (* 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_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 2 v)
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
(* v (+ 1 (/ (* sinTheta_O sinTheta_i) v)))
(* v (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))
(/ 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 (/ (+ (* -1/2 (* 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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(+ 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 (/ (+ (* -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 (/ (+ (* -1/2 (* 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)))
(* -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 (* 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)))
(+ 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* sinTheta_O sinTheta_i)) v)) 1)))
(* -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:

Time	Variable		Point	Expression
29.0ms	cosTheta_O	@	0	((* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (sinh (/ 1 v)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (/ cosTheta_O v) v) (/ (* sinTheta_i sinTheta_O) v) (* (* 2 v) (sinh (/ 1 v))))
27.0ms	cosTheta_i	@	0	((* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (sinh (/ 1 v)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (/ cosTheta_O v) v) (/ (* sinTheta_i sinTheta_O) v) (* (* 2 v) (sinh (/ 1 v))))
23.0ms	cosTheta_O	@	inf	((* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (sinh (/ 1 v)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (/ cosTheta_O v) v) (/ (* sinTheta_i sinTheta_O) v) (* (* 2 v) (sinh (/ 1 v))))
23.0ms	cosTheta_i	@	-inf	((* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (sinh (/ 1 v)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (/ cosTheta_O v) v) (/ (* sinTheta_i sinTheta_O) v) (* (* 2 v) (sinh (/ 1 v))))
23.0ms	cosTheta_O	@	-inf	((* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v)))) (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (- 1 (/ (* sinTheta_i sinTheta_O) v)) (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (sinh (/ 1 v)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (/ cosTheta_O v) v) (/ (* sinTheta_i sinTheta_O) v) (* (* 2 v) (sinh (/ 1 v))))

simplify179.0ms (1.8%)

Memory

37.6MiB live, 251.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1033	6413
1	4002	6264
0	8646	5964

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 191

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(* cosTheta_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))) v))
(* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))))
(* 1/2 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(/ (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(* -1 (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))))
(* -1/2 (/ (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))))) v))
(/ cosTheta_O v)
(* 1/2 cosTheta_O)
(* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))) v))
(* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))))
(* 1/2 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))
(/ cosTheta_O (pow v 2))
(* -1 (* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(/ (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(* -1 (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))))
(* -1/2 (/ (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))))) 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_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 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)))))))
(* 1/6 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
(* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(/ 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
(+ 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))))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
v
(+ v (* sinTheta_O sinTheta_i))
(+ v (* sinTheta_i (+ sinTheta_O (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(+ v (* sinTheta_i (+ sinTheta_O (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 2))) (* 1/2 (/ (pow sinTheta_O 2) v)))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2)))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)))))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))
(* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* v (exp (/ (* sinTheta_O sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* -1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 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)))))))
(+ (* 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_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ 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)))))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(+ (* 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))))))
(+ 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) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ v (* sinTheta_O (+ sinTheta_i (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(+ v (* sinTheta_O (+ sinTheta_i (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 2))) (* 1/2 (/ (pow sinTheta_i 2) v)))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* -1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 3)))
(/ (+ (* -1/2 (* 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))))) (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)))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (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)))
(/ (+ (* 1/2 (* 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))))) (pow v 2))
(/ (+ (* 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 v))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))) (pow v 2))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (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)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
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))))))
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(* -1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* 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))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/ (+ (* 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 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 (/ (* 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_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 2 v)
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
(* v (+ 1 (/ (* sinTheta_O sinTheta_i) v)))
(* v (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))
(/ 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 (/ (+ (* -1/2 (* 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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(+ 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 (/ (+ (* -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 (/ (+ (* -1/2 (* 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)))
(* -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 (* 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)))
(+ 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* sinTheta_O sinTheta_i)) v)) 1)))
(* -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 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (exp (* -1 (/ (* 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))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 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_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)))
(.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) cosTheta_i)
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))) v))
(/.f32 (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i) (neg.f32 v))
(* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))))
(.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)
(* 1/2 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))) v))
(.f32 (/.f32 (.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)) cosTheta_i) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (.f32 (pow.f32 (exp.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)
(*.f32 cosTheta_i cosTheta_O)
(* -1 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)))
(/ (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))))
(* -1/2 (/ (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))))) v))
(.f32 (/.f32 (.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) cosTheta_i) v) #s(literal -1/2 binary32))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)))
(.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) cosTheta_O)
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))) v))
(/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v)) cosTheta_O) (neg.f32 v))
(* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))))
(.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v)) cosTheta_O)
(* 1/2 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))) v))
(.f32 (/.f32 (.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v) (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) v) #s(literal 1/2 binary32))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(* -1 (* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)))
(/ (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) v)
(* -1 (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))))
(.f32 (neg.f32 cosTheta_O) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))))
(* -1/2 (/ (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))))) v))
(.f32 (/.f32 (.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) cosTheta_O) v) #s(literal -1/2 binary32))
(/ (* 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_O sinTheta_i) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 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 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i (/.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 cosTheta_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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O 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)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_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)) sinTheta_i (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) 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)))))
(* 1/6 (* cosTheta_O cosTheta_i))
(.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))
(fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) sinTheta_i)))
(* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) v) #s(literal 1/2 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 sinTheta_i v) (/.f32 (.f32 sinTheta_O 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) (/.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 (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))))) #s(literal -1/6 binary32) (.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
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (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))))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* (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))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (.f32 (.f32 sinTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))
(+ (* sinTheta_i (+ (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_i) (.f32 (.f32 sinTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* sinTheta_i (+ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (.f32 (.f32 sinTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
v
(+ v (* sinTheta_O sinTheta_i))
(fma.f32 sinTheta_O sinTheta_i v)
(+ v (* sinTheta_i (+ sinTheta_O (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) #s(literal 1/2 binary32) sinTheta_O) sinTheta_i v)
(+ v (* sinTheta_i (+ sinTheta_O (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 2))) (* 1/2 (/ (pow sinTheta_O 2) v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) v) (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) #s(literal 1/2 binary32))) sinTheta_i sinTheta_O) sinTheta_i v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (exp (* -1 (/ (* 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))))
(* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2)))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) sinTheta_i) (/.f32 cosTheta_i sinTheta_i) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 sinTheta_i sinTheta_i))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) sinTheta_i) (/.f32 (.f32 #s(literal 1/4 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 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/12 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i)) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) sinTheta_i) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_i sinTheta_i))
(* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) #s(literal -1/4 binary32))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_i) (/.f32 cosTheta_i sinTheta_i) (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))))) (.f32 sinTheta_i sinTheta_i))
(/ (exp (neg (/ (* 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))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v)) sinTheta_i)
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (*.f32 v v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (exp (/ (* sinTheta_O sinTheta_i) v)))
(*.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v)
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (fma.f32 (/.f32 #s(literal 1/12 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v)))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* -1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 v v)) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i) (.f32 (/.f32 (.f32 (.f32 sinTheta_O cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(*.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) 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 (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 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (.f32 (/.f32 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_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))) #s(literal 1/2 binary32) (.f32 cosTheta_i (/.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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_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_O)) sinTheta_O (/.f32 (/.f32 cosTheta_i 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))))))) (* 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 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 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)))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) sinTheta_O)))
(+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) sinTheta_O))
(+ (* 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 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) 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) (/.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)))))
(+ 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 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 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) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (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 (.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 #s(literal -1 binary32) (/.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))))))) 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 (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 5 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (.f32 #s(literal -1 binary32) (/.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))))) v) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) 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 1/3 binary32)))) sinTheta_O (.f32 #s(literal -1 binary32) (/.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))))))) sinTheta_O (/.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 (+ (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 sinTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (.f32 (.f32 sinTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ v (* sinTheta_O (+ sinTheta_i (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) #s(literal 1/2 binary32) sinTheta_i) sinTheta_O v)
(+ v (* sinTheta_O (+ sinTheta_i (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 2))) (* 1/2 (/ (pow sinTheta_i 2) v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) v) (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) v) #s(literal 1/2 binary32))) sinTheta_O sinTheta_i) sinTheta_O v)
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) sinTheta_O) (/.f32 cosTheta_i sinTheta_O) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/12 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (.f32 sinTheta_O sinTheta_O)) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_O) (/.f32 cosTheta_i sinTheta_O) (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) (.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))))) (.f32 sinTheta_O sinTheta_O))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (fma.f32 (/.f32 #s(literal 1/12 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v)))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* -1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) sinTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(*.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
(* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 3)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))
(/ (+ (* -1/2 (* 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))))) (pow v 3))
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) cosTheta_i) cosTheta_O (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* -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)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (pow.f32 v #s(literal 3 binary32)))
(* 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)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))
(/ (+ (* 1/2 (* 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))))) (pow v 2))
(/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 (.f32 sinTheta_i v) sinTheta_O) cosTheta_i) cosTheta_O (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)))) (.f32 v 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 v))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))) (pow v 2))
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v)) (*.f32 v v))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 v (*.f32 sinTheta_O sinTheta_i)) 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)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) 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 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) 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 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v)))))) v)
(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
(fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 #s(literal 1/2 binary32) cosTheta_i)))
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)))))
(+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.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 (/ (- (* -1/6 (* (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 sinTheta_O sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 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))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))))) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v)) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))) v)
(* -1/2 (* cosTheta_O cosTheta_i))
(.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* 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))) (pow v 2)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))
(/ (+ (* 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)
(/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) 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 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.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 (/ (- (* -1/6 (* (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 sinTheta_O sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 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))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (*.f32 v v))))) #s(literal 1/2 binary32)) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (.f32 sinTheta_i 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 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32) (.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))) (fma.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)))) v)
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
(.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) (.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32)) v)
(* v (+ 1 (/ (* sinTheta_O sinTheta_i) v)))
(*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)
(* v (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (+.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 1 binary32)) v)
(* v (+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 1 binary32)) 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 (+ (/ 1/120 (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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) #s(literal -1/2 binary32))) (neg.f32 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)))
(fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))
(+ 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)))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i))) v) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) (neg.f32 v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v))
(+ (* -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)))
(fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))
(* -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))
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #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 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 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_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #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 (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1 binary32))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32))) cosTheta_i) cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) (.f32 (.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) cosTheta_i) cosTheta_O))) v) #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) #s(literal -2 binary32) (.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))) (neg.f32 v)) #s(literal 2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) #s(literal 2 binary32) (.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)))) v) #s(literal -2 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 2 binary32)))
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* sinTheta_O sinTheta_i)) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1 binary32)))
(* -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))

rewrite194.0ms (2%)

Memory

-18.0MiB live, 204.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	437
0	131	437
1	406	433
2	2382	423
0	8057	420

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 743

Calls

Call 1

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

Outputs
(.f32 (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)) v) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (.f32 v (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (.f32 v v)) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (.f32 v (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (.f32 v v)) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 v (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 v v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 v)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) v) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) v))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 v)) (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (neg.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_O) v) (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) v) (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) #s(literal -2 binary32)) (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (neg.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) v) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal -2 binary32)) (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (neg.f32 v)) (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i)
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (/.f32 cosTheta_O v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 2 binary32)))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32))))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) v)) v))
(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 cosTheta_i (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 2 binary32)) (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) #s(literal 2 binary32)) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32))) (/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (/.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)))
(.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_i #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_O v)))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 cosTheta_i #s(literal 2 binary32))))
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(/.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(neg.f32 (.f32 (/.f32 (neg.f32 cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v (.f32 #s(literal 2 binary32) v)))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (.f32 (/.f32 cosTheta_i (.f32 (*.f32 #s(literal -2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
(.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)
(.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 2 binary32) v))
(.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 v (.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 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)))
(.f32 #s(literal 2 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)))
(.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)))
(.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (neg.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v (.f32 #s(literal 2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(/.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v (.f32 #s(literal 2 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (.f32 v (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v)
(*.f32 v (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) cosTheta_i) (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/6 binary32))) v)) (neg.f32 v)))) (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (neg.f32 (*.f32 v v))))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (*.f32 (neg.f32 v) v)))
(/.f32 (/.f32 (neg.f32 cosTheta_O) v) (neg.f32 v))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (*.f32 v v)))
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) v))
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O (*.f32 v v))
(neg.f32 (/.f32 (/.f32 (neg.f32 cosTheta_O) v) v))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 sinTheta_O) sinTheta_i))) v)
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(neg.f32 (*.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) 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 (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(/.f32 (neg.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 (neg.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))
(/.f32 (fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) #s(literal 4 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))

eval111.0ms (1.1%)

Memory: 5.6MiB live, 154.3MiB allocated
Compiler: Compiled 49 031 to 4 118 computations (91.6% saved)

prune104.0ms (1%)

Memory

-4.9MiB live, 196.3MiB allocated

Pruning

64 alts after pruning (61 fresh and 3 done)

	Pruned	Kept	Total
New	937	36	973
Fresh	11	25	36
Picked	2	3	5
Done	0	0	0
Total	950	64	1 014

Accuracy

99.7%

Counts

1 014 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
	98.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.0%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v))) v)
	97.7%	(/.f32 (.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (.f32 v v))
	98.5%	(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) v)
	98.5%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	63.6%	(/.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 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	63.6%	(/.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))
	63.6%	(/.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	97.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 #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))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (-.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)))))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
	98.1%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 v (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.2%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
▶	98.5%	(.f32 (/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
	63.6%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	63.6%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.3%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (/.f32 cosTheta_O v)))
	98.3%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32))))
▶	98.4%	(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.6%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (.f32 v (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	98.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.8%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	57.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
	48.1%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
	98.5%	(.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i)
	98.5%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
	98.4%	(.f32 (.f32 cosTheta_O (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.9%	(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	48.0%	(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) v))
	57.9%	(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.6%	(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
	57.9%	#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))
▶	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
✓	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
	51.6%	#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
✓	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
	51.6%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
	56.0%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) v)))
▶	56.0%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))

Compiler

Compiled 5 167 to 3 690 computations (28.6% saved)

simplify131.0ms (1.3%)

Memory

23.3MiB live, 150.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cost-diff	0	(.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_O v) v))
cost-diff	0	(/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(.f32 (/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
cost-diff	0	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff	0	(/.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)))
cost-diff	0	(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
cost-diff	0	(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)
cost-diff	0	#s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v))
cost-diff	0	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
cost-diff	2	(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff	0	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
cost-diff	0	(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff	0	(/.f32 cosTheta_O v)
cost-diff	0	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
cost-diff	7	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	813
0	145	813
1	347	809
2	1238	770
3	5984	770
0	8209	754

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 cosTheta_O v)
cosTheta_O
v
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cosTheta_i
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v)))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))
sinTheta_i
(*.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
(.f32 (.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
#s(literal 1/2 binary32)
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)
(.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i)
(.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)))
#s(literal 1/2 binary32)
(+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
cosTheta_O
(/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)
(fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v))
(neg.f32 (*.f32 cosTheta_O sinTheta_O))
(*.f32 cosTheta_O sinTheta_O)
sinTheta_O
sinTheta_i
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v)
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))
(*.f32 sinTheta_i sinTheta_i)
(*.f32 sinTheta_O sinTheta_O)
(*.f32 #s(literal -1/6 binary32) cosTheta_O)
#s(literal -1/6 binary32)
v
cosTheta_i
(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 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)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
v
#s(literal 2 binary32)
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))
cosTheta_i
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
(.f32 (/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.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_O v) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 cosTheta_i #s(literal 2 binary32))
cosTheta_i
#s(literal 2 binary32)

Outputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 cosTheta_O v)
cosTheta_O
v
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v)))) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
cosTheta_i
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v)))
(exp.f32 sinTheta_O)
sinTheta_O
(/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))
sinTheta_i
(*.f32 #s(literal -2 binary32) v)
#s(literal -2 binary32)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
#s(literal 1/2 binary32)
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (.f32 (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i)) v) cosTheta_O))))
#s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v))
#s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (.f32 (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i)) v) cosTheta_O)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)
(.f32 (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)) (+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i)) v) cosTheta_O))
(.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i)
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i)) v) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)))
(.f32 (+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (*.f32 sinTheta_O cosTheta_O) sinTheta_i)) v) cosTheta_O) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
(+.f32 (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i)) v) cosTheta_O)
cosTheta_O
(/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i)) v)
(fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v))
(-.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v) (.f32 (.f32 sinTheta_O cosTheta_O) sinTheta_i))
(neg.f32 (*.f32 cosTheta_O sinTheta_O))
(*.f32 (neg.f32 cosTheta_O) sinTheta_O)
(*.f32 cosTheta_O sinTheta_O)
(*.f32 sinTheta_O cosTheta_O)
sinTheta_O
sinTheta_i
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32))) v)
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))
(.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))
(.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i)
(*.f32 sinTheta_i sinTheta_i)
(*.f32 sinTheta_O sinTheta_O)
(*.f32 #s(literal -1/6 binary32) cosTheta_O)
#s(literal -1/6 binary32)
v
cosTheta_i
(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 cosTheta_O v) 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)) #s(literal 2 binary32)))
(/.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)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
v
#s(literal 2 binary32)
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
cosTheta_i
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
(.f32 (/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32)))) (/.f32 (/.f32 (/.f32 cosTheta_O v) 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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32))))
(.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_O v) v))
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(fma.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O v)
cosTheta_O
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 cosTheta_i #s(literal 2 binary32))
cosTheta_i
#s(literal 2 binary32)

localize214.0ms (2.2%)

Memory

-5.3MiB live, 212.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.27380756837909415	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	0.28515625	(/.f32 (/.f32 cosTheta_O v) v)
accuracy	0.359375	(/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.22865073984544687	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
accuracy	0.25390625	(/.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)))
accuracy	0.28515625	(/.f32 (/.f32 cosTheta_O v) v)
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.26171875	(/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)
accuracy	0.3359375	(*.f32 #s(literal -1/6 binary32) cosTheta_O)
accuracy	0.4502279405770407	(+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
accuracy	14.060082608872241	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
accuracy	0.0	(/.f32 cosTheta_O v)
accuracy	0.04296875	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
accuracy	0.1328125	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
accuracy	13.46843901218639	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
accuracy	0.234375	(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.25	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.359375	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy	0.7990092365113537	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

163.0ms

256×

valid

Compiler

Compiled 673 to 91 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 60.0ms (47.1% of total)

ival-div: 33.0ms (25.9% of total)

ival-pow: 10.0ms (7.8% of total)

const: 7.0ms (5.5% of total)

ival-add: 6.0ms (4.7% of total)

ival-exp: 4.0ms (3.1% of total)

ival-neg: 4.0ms (3.1% of total)

ival-sinh: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series344.0ms (3.5%)

Memory

25.3MiB live, 367.2MiB allocated

Counts

26 → 203

Calls

Call 1

Inputs
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 cosTheta_O v)
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)
(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 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)))
#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 (.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.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_O v) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
(*.f32 #s(literal -1/6 binary32) cosTheta_O)
(/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

Outputs
(/ (* cosTheta_O (* cosTheta_i (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))) v))
(* 1/2 (/ (* cosTheta_i (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))) v))
(/ (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(/ cosTheta_O v)
(* cosTheta_O (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (* 1/6 (/ 1 (pow v 2)))))) v))
(* 2 (/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(* cosTheta_O (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (* 1/6 (/ 1 (pow v 2)))))
(* -1/6 cosTheta_O)
(/ (* cosTheta_O (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v)))) v)
(/ cosTheta_O (pow v 2))
(* -1 (* cosTheta_O (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(/ (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) 1))) v))
(* -1 (* cosTheta_O (- (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) 1)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* 1/6 (/ 1 v)) (* sinTheta_O sinTheta_i)))) 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 (+ (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/8 (/ (pow sinTheta_O 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/24 (/ (pow sinTheta_O 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* 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 (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (* -1/8 (/ (pow sinTheta_O 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_O 3) (pow v 3))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (* sinTheta_i (+ (* -1/8 (/ (pow sinTheta_O 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_O 3) (pow v 3)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ cosTheta_i (* v (- (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)))))))
(+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)))
(+ (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) 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
(+ 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))))))))
(* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -2 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -2 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/24 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* -1/6 (/ cosTheta_O (pow v 2)))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2)))))))
(* -1/6 (/ cosTheta_O (pow v 2)))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* -1/6 (/ cosTheta_O (pow v 2))))
(+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_O (pow sinTheta_i 2))) (* 1/2 (* cosTheta_O (pow sinTheta_O 2)))))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* (pow sinTheta_i 2) v))))))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 2 (/ (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))) sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/6 (/ cosTheta_O (* sinTheta_i (pow v 2)))) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(+ (* 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 (+ (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/24 (/ (pow sinTheta_i 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_i 3) (pow v 3))))))) (* (pow v 2) (- (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_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_i 3) (pow v 3)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ cosTheta_i (* v (- (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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* 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))))))
(+ 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))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -2 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -2 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/24 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2)))))))
(+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_O (pow sinTheta_O 2))) (* 1/2 (* cosTheta_O (pow sinTheta_i 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* (pow sinTheta_O 2) v))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))) sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/6 (/ cosTheta_O (* sinTheta_O (pow v 2)))) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 3)))
(/ (+ (* -1/2 (* 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))))) (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)))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i v)))) (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (+ (* -1/6 cosTheta_O) (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v))))) (pow v 2))
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 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))
(/ (+ (* -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 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))) (* 1/2 (/ (- (* cosTheta_i (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* 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))) (pow v 2))) (* 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 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
(* 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 (/ (* 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))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ (+ 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))))) (* 1/6 (/ cosTheta_O (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)))))) (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/6 (/ cosTheta_O (pow v 2))))) v)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ 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))))) (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)))))) (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)
v
(* v (+ 1 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 1 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/8 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2))))
(* v (- (+ 1 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/48 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/8 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/12 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 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 (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (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)) (* 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 (* cosTheta_O (* cosTheta_i (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1 (* cosTheta_i (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -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 (* 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -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)))
(+ 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 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -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 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 cosTheta_O)) 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))) (pow v 2))
(/ (+ 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))) (pow v 2))
(* -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 (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ 1/6 (* -1/8 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/48 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/12 (* sinTheta_O sinTheta_i))) v)) (* -1/8 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))

Calls

15 calls:

Time	Variable		Point	Expression
78.0ms	sinTheta_i	@	inf	((* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))))) (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (* (/ cosTheta_O v) cosTheta_i) (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/ (* (* 1/2 (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v))) cosTheta_i) v) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/ cosTheta_i 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (sinh (/ 1 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))) (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (* -1/6 cosTheta_O) (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (/ (/ cosTheta_O v) v) (/ (* sinTheta_O sinTheta_i) v))
50.0ms	cosTheta_O	@	0	((* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))))) (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (* (/ cosTheta_O v) cosTheta_i) (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/ (* (* 1/2 (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v))) cosTheta_i) v) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/ cosTheta_i 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (sinh (/ 1 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))) (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (* -1/6 cosTheta_O) (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (/ (/ cosTheta_O v) v) (/ (* sinTheta_O sinTheta_i) v))
29.0ms	cosTheta_i	@	0	((* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))))) (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (* (/ cosTheta_O v) cosTheta_i) (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/ (* (* 1/2 (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v))) cosTheta_i) v) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/ cosTheta_i 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (sinh (/ 1 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))) (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (* -1/6 cosTheta_O) (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (/ (/ cosTheta_O v) v) (/ (* sinTheta_O sinTheta_i) v))
25.0ms	cosTheta_O	@	-inf	((* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))))) (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (* (/ cosTheta_O v) cosTheta_i) (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/ (* (* 1/2 (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v))) cosTheta_i) v) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/ cosTheta_i 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (sinh (/ 1 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))) (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (* -1/6 cosTheta_O) (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (/ (/ cosTheta_O v) v) (/ (* sinTheta_O sinTheta_i) v))
23.0ms	sinTheta_O	@	inf	((* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (* (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))))) (/ cosTheta_O v) (* cosTheta_i (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ cosTheta_O v) cosTheta_i) 1/2) (* (/ cosTheta_O v) cosTheta_i) (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/ (* (* 1/2 (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v))) cosTheta_i) v) (* (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (* cosTheta_i (/ (/ cosTheta_O v) v))) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/ cosTheta_i 2)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (sinh (/ 1 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v))) (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (* -1/6 cosTheta_O) (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (/ (/ cosTheta_O v) v) (/ (* sinTheta_O sinTheta_i) v))

simplify191.0ms (1.9%)

Memory

-22.3MiB live, 144.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1155	6858
1	4374	6701
0	8457	6387

Stop Event

1×	iter limit
1×	node limit

Counts

203 → 201

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))) v))
(* 1/2 (/ (* cosTheta_i (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))) v))
(/ (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(/ cosTheta_O v)
(* cosTheta_O (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (* 1/6 (/ 1 (pow v 2)))))) v))
(* 2 (/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(* cosTheta_O (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (* 1/6 (/ 1 (pow v 2)))))
(* -1/6 cosTheta_O)
(/ (* cosTheta_O (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v)))) v)
(/ cosTheta_O (pow v 2))
(* -1 (* cosTheta_O (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(/ (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) 1))) v))
(* -1 (* cosTheta_O (- (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) 1)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* 1/6 (/ 1 v)) (* sinTheta_O sinTheta_i)))) 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 (+ (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/8 (/ (pow sinTheta_O 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/24 (/ (pow sinTheta_O 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* 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 (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (* -1/8 (/ (pow sinTheta_O 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_O 3) (pow v 3))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (* sinTheta_i (+ (* -1/8 (/ (pow sinTheta_O 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_O 3) (pow v 3)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ cosTheta_i (* v (- (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)))))))
(+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))))
(* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)))
(+ (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) 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
(+ 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))))))))
(* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -2 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -2 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/24 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* -1/6 (/ cosTheta_O (pow v 2)))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2)))))))
(* -1/6 (/ cosTheta_O (pow v 2)))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* -1/6 (/ cosTheta_O (pow v 2))))
(+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_O (pow sinTheta_i 2))) (* 1/2 (* cosTheta_O (pow sinTheta_O 2)))))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* (pow sinTheta_i 2) v))))))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 2 (/ (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))) sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/6 (/ cosTheta_O (* sinTheta_i (pow v 2)))) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(+ (* 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 (+ (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/24 (/ (pow sinTheta_i 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_i 3) (pow v 3))))))) (* (pow v 2) (- (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_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_i 3) (pow v 3)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ cosTheta_i (* v (- (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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(+ (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* 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))))))
(+ 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))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -2 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -2 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/24 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2)))))))
(+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_O (pow sinTheta_O 2))) (* 1/2 (* cosTheta_O (pow sinTheta_i 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* (pow sinTheta_O 2) v))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))) sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/6 (/ cosTheta_O (* sinTheta_O (pow v 2)))) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 3)))
(/ (+ (* -1/2 (* 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))))) (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)))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i v)))) (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (+ (* -1/6 cosTheta_O) (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v))))) (pow v 2))
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 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))
(/ (+ (* -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 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))) (* 1/2 (/ (- (* cosTheta_i (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* 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))) (pow v 2))) (* 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 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
(* 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 (/ (* 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))))))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/ (+ 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))))) (* 1/6 (/ cosTheta_O (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)))))) (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/6 (/ cosTheta_O (pow v 2))))) v)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ 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))))) (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)))))) (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)
v
(* v (+ 1 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 1 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/8 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2))))
(* v (- (+ 1 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/48 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/8 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/12 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 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 (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (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)) (* 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 (* cosTheta_O (* cosTheta_i (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (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 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1 (* cosTheta_i (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* -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 (* 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -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)))
(+ 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 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(* -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 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 cosTheta_O)) 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))) (pow v 2))
(/ (+ 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))) (pow v 2))
(* -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 (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ 1/6 (* -1/8 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/48 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/12 (* sinTheta_O sinTheta_i))) v)) (* -1/8 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))

Outputs
(/ (* cosTheta_O (* cosTheta_i (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (/.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)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (/.f32 cosTheta_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)))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_O v)) (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))) v))
(/.f32 (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i) (neg.f32 v))
(* 1/2 (/ (* cosTheta_i (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))) v))
(.f32 (/.f32 (.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))) cosTheta_i) v) #s(literal 1/2 binary32))
(/ (* cosTheta_i (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) v))) cosTheta_i) v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(* cosTheta_O (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_O)
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (+ (* 1/6 (/ cosTheta_i v)) (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))) v))
(/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v)) cosTheta_O) (neg.f32 v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (* 1/6 (/ 1 (pow v 2)))))) v))
(.f32 (/.f32 (.f32 (.f32 (-.f32 (+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))
(* 2 (/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (/.f32 cosTheta_O v))
(* cosTheta_O (- (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (* 1/6 (/ 1 (pow v 2)))))
(.f32 (-.f32 (+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) cosTheta_O)
(* -1/6 cosTheta_O)
(*.f32 #s(literal -1/6 binary32) cosTheta_O)
(/ (* cosTheta_O (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v)))) v)
(/.f32 (.f32 (-.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/2 binary32) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1/6 binary32) v)) cosTheta_O) v)
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(* -1 (* cosTheta_O (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))
(/ (* cosTheta_O (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_i v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)))) v)
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) v)
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) 1))) v))
(.f32 (/.f32 (.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32))
(* -1 (* cosTheta_O (- (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) 1)))
(.f32 (neg.f32 cosTheta_O) (-.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (+ (* 1/6 (/ 1 v)) (* sinTheta_O sinTheta_i)))) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v) (*.f32 sinTheta_i sinTheta_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)))))))
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(/ (* 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))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))
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(/ 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))))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
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(fma.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (/.f32 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 -2 binary32) (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) 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))))) sinTheta_i))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -2 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/3 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 cosTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_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 -1/3 binary32) (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) 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))))) sinTheta_i)) sinTheta_i (.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))
(fma.f32 (neg.f32 cosTheta_O) (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 cosTheta_O (.f32 v v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (/.f32 cosTheta_O (*.f32 v v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32) (/.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 5 binary32)))) sinTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (/.f32 cosTheta_O (*.f32 v v)))
(/ 2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 2 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))))))) (* 2 (/ 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 2 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))))))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ 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 1/4 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 2 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 (+ (* -1/24 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) #s(literal -1/24 binary32) (.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 1/4 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 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* -1/6 (/ cosTheta_O (pow v 2)))))
(+.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) v) (/.f32 cosTheta_O v) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2)))))))
(+.f32 (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 (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))) cosTheta_O)
(* -1/6 (/ cosTheta_O (pow v 2)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* -1/6 (/ cosTheta_O (pow v 2))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) v) (/.f32 cosTheta_O v) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 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 (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32)))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/ (pow (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) 2) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ cosTheta_O (pow sinTheta_i 2))) (* 1/2 (* cosTheta_O (pow sinTheta_O 2)))))
(.f32 (fma.f32 (/.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 #s(literal 1/4 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 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32))) (.f32 sinTheta_i sinTheta_i)) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 #s(literal 1/4 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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* (pow sinTheta_i 2) v))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 cosTheta_O v)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) cosTheta_i) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_i sinTheta_i))
(/ (exp (neg (/ (* 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))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 2 (/ (exp (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_i 2))))))
(.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O (.f32 v v)) (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i))))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* sinTheta_i v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))
(.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) v) (.f32 (/.f32 #s(literal 1/12 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_i)))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* sinTheta_i v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 (.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) cosTheta_i) v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) v))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))) sinTheta_i)) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_O v) (/.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/6 (/ cosTheta_O (* sinTheta_i (pow v 2)))) (/ (* cosTheta_O sinTheta_O) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) sinTheta_i)) #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 sinTheta_O v))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(+ (* 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 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/24 (/ (pow sinTheta_i 3) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (/.f32 (/.f32 (pow.f32 sinTheta_i #s(literal 3 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)))) #s(literal -1/6 binary32)) sinTheta_O)) 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)))))
(+ (* 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 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_i 3) (pow v 3))))))) (* (pow v 2) (- (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 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O (.f32 v v)) (.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))) sinTheta_O)) 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_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) 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)))) #s(literal 1/2 binary32) (.f32 cosTheta_i (/.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 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (* sinTheta_O (+ (* -1/8 (/ (pow sinTheta_i 3) (pow v 3))) (* -1/24 (/ (pow sinTheta_i 3) (pow v 3)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v v))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 (.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (/.f32 (/.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32))) sinTheta_O)) sinTheta_O (/.f32 (/.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 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (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) (.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))) sinTheta_O)) 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)))))
(+ (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v)))
(+ (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (.f32 (/.f32 (.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) cosTheta_i) v) #s(literal 1/2 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 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) 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) (/.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)))))
(+ 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 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -2 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(fma.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (/.f32 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 -2 binary32) (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) 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))))) sinTheta_O))
(+ (* 2 (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -2 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/3 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))
(fma.f32 (fma.f32 (/.f32 #s(literal -2 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 cosTheta_O sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) 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 -1/3 binary32) (/.f32 (/.f32 (.f32 (.f32 sinTheta_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))))) sinTheta_O)) sinTheta_O (.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (/.f32 cosTheta_O (*.f32 v v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_O (.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (/.f32 cosTheta_O (*.f32 v v)))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/4 binary32) (/.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 2 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 (+ (* -1/24 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* 2 (/ 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 1/4 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 -1/24 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 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2)))))))
(+.f32 (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 (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))) cosTheta_O)
(+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 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 (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32)))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ cosTheta_O (pow sinTheta_O 2))) (* 1/2 (* cosTheta_O (pow sinTheta_i 2)))))
(.f32 (fma.f32 (/.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3)))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))
(.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/12 binary32) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O)) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* (pow sinTheta_O 2) v))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) cosTheta_i) v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ cosTheta_O (pow sinTheta_O 2))))))
(.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O (.f32 v v)) (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O))))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* sinTheta_O v))) (+ (* -1/6 (/ cosTheta_O (* (pow sinTheta_O 2) (pow v 2)))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O (.f32 v v)) (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 3)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (fma.f32 (/.f32 #s(literal 1/12 binary32) sinTheta_O) (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v)))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))) (* sinTheta_O v))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 (.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) cosTheta_i) v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))) sinTheta_O)) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 cosTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32) cosTheta_O) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/6 (/ cosTheta_O (* sinTheta_O (pow v 2)))) (/ (* cosTheta_O sinTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (fma.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) sinTheta_O)) #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* -1/2 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 3)))
(.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/2 binary32))
(/ (+ (* -1/2 (* 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))))) (pow v 3))
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* -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)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (pow.f32 v #s(literal 3 binary32)))
(* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3)))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 3))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O)))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* 1/2 (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O)))) (pow.f32 v #s(literal 3 binary32)))
(- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i v)))) (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_O)) (*.f32 v v))
(/ (+ (* -1/6 cosTheta_O) (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* cosTheta_O v))))) (pow v 2))
(/.f32 (fma.f32 #s(literal -1/6 binary32) cosTheta_O (fma.f32 (-.f32 (.f32 cosTheta_O v) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))))) (*.f32 v v))
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #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)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) #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))) (* 1/2 (/ (- (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))
(+.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) 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 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) 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 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal -1/6 binary32)) cosTheta_i) cosTheta_O (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32)))) v)
(* 1/2 cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))) (* 1/2 (/ (- (* cosTheta_i (+ (* -1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))))))
(fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v))) (.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal -1/6 binary32)) cosTheta_i (.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v)))))) v)
(/ (+ (* -1/2 (/ (* 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))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) (.f32 (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32))) v)
(* 1/2 v)
(*.f32 #s(literal 1/2 binary32) v)
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #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 (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) #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 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) (.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) #s(literal 1/2 binary32)) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i 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 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (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_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
(/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_O) 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))))) (* 1/6 (/ cosTheta_O (pow v 2)))) v)
(/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) 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)))))) (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/6 (/ cosTheta_O (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32)))) (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (.f32 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))))) (pow v 2))
(/.f32 (+.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (*.f32 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)))))) (pow v 2))
(/.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal -1/6 binary32)))) (*.f32 v 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 (+ (/ 1/120 (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)
v
(* v (+ 1 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1 binary32)) v)
(* v (- (+ 1 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/8 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (/ 1/6 (pow v 2))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1/8 binary32) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* v (- (+ 1 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/48 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/8 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (+ (* -1/12 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1/6 (pow v 2)))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (/.f32 #s(literal 1/8 binary32) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))))) (fma.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal -1/12 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)))
(* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* -1/6 (/ cosTheta_O v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))) v)
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O)) 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)))
(fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1 (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) #s(literal -1/2 binary32))) (neg.f32 v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (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 cosTheta_i cosTheta_O) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal -1/6 binary32)) cosTheta_i) cosTheta_O (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1 (* cosTheta_i (+ (* 1/24 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/8 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) #s(literal -1/6 binary32)) cosTheta_i (.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 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 cosTheta_i cosTheta_O) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) cosTheta_i) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #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_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 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_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) #s(literal -1/2 binary32) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (neg.f32 v)) #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 (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1 binary32))
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v)) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))
(/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (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)) v))) v))) v))
(/.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v) cosTheta_O)) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 cosTheta_O)) v))) v))) v))
(/.f32 (neg.f32 (+.f32 (/.f32 (neg.f32 (fma.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i (/.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O))) (neg.f32 v))) (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v))) v) cosTheta_O)) (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))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v)) v) #s(literal -1 binary32) cosTheta_O) (*.f32 v v))
(/ (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(/.f32 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) v)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)))) (neg.f32 v))) (neg.f32 v)) cosTheta_O) (*.f32 v v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #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 #s(literal -1 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #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 (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ 1/6 (* -1/8 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (neg.f32 v))) (neg.f32 v)) #s(literal 1 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/48 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/12 (* sinTheta_O sinTheta_i))) v)) (* -1/8 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1)))
(.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/8 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (/.f32 (fma.f32 #s(literal -1/48 binary32) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_O))) (neg.f32 v))) #s(literal -1/6 binary32)) v)) (neg.f32 v)) #s(literal 1 binary32)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+.f32 (/.f32 (fma.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (neg.f32 v))) (neg.f32 v)) cosTheta_O)
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))
(/.f32 (fma.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (neg.f32 v))) (neg.f32 v))

rewrite160.0ms (1.6%)

Memory

-3.8MiB live, 129.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	579
0	145	579
1	506	529
2	3465	529
0	8302	523

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 351

Calls

Call 1

Inputs
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 cosTheta_O v)
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal -1/6 binary32) cosTheta_O))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v))
(/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)
(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 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)))
#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 (.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.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_O v) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
(*.f32 #s(literal -1/6 binary32) cosTheta_O)
(/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v)
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

Outputs
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 #s(literal 2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v #s(literal -2 binary32))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) #s(literal 2 binary32))
(/.f32 (.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32))))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32))))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v #s(literal -2 binary32)))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (*.f32 v #s(literal -2 binary32)))) #s(literal 2 binary32))) v)
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))))) (.f32 v #s(literal -2 binary32)))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v)) (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v #s(literal -2 binary32)))
(/.f32 (.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32))))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) #s(literal 2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) #s(literal 2 binary32)) (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))))) (.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32))))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 2 binary32)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 v #s(literal -2 binary32))))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(neg.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v)))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (fma.f32 (.f32 (.f32 sinTheta_i (neg.f32 cosTheta_O)) sinTheta_O) (.f32 v v) (.f32 v (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (*.f32 #s(literal -1/6 binary32) cosTheta_O)))) (pow.f32 v #s(literal 3 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 (.f32 sinTheta_i (neg.f32 cosTheta_O)) sinTheta_O) (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
(/.f32 (+.f32 (neg.f32 (pow.f32 (/.f32 (.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i) v) #s(literal 3 binary32))) (pow.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_i)))) v)
(/.f32 (fma.f32 (.f32 (.f32 sinTheta_i (neg.f32 cosTheta_O)) sinTheta_O) v (.f32 v (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 (.f32 sinTheta_i (neg.f32 cosTheta_O)) sinTheta_O) (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (*.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))
(/.f32 (+.f32 (pow.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i) #s(literal 3 binary32)))) (.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (-.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_i (neg.f32 cosTheta_O)) sinTheta_O)) (pow.f32 (.f32 (.f32 cosTheta_O sinTheta_O) sinTheta_i) #s(literal 2 binary32))) v))
(/.f32 (neg.f32 (-.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_i))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_i)) v)
(fma.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)))
(fma.f32 sinTheta_i (/.f32 (.f32 cosTheta_O sinTheta_O) (neg.f32 v)) (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v)))
(+.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) (.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 sinTheta_i v)))
(+.f32 (.f32 (.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))
(neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) #s(literal 1/2 binary32)) cosTheta_O (.f32 #s(literal -1/6 binary32) cosTheta_O)) v) (.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_i)) (neg.f32 v)))
(/.f32 (/.f32 (neg.f32 cosTheta_O) v) (neg.f32 v))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (*.f32 v v)))
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) v))
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 cosTheta_O (*.f32 v v))
(neg.f32 (/.f32 (/.f32 (neg.f32 cosTheta_O) v) v))
(log.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(.f32 (.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (neg.f32 v))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(neg.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))

eval112.0ms (1.1%)

Memory: 14.4MiB live, 74.5MiB allocated
Compiler: Compiled 36 235 to 3 491 computations (90.4% saved)

prune109.0ms (1.1%)

Memory

-5.2MiB live, 119.0MiB allocated

Pruning

77 alts after pruning (72 fresh and 5 done)

	Pruned	Kept	Total
New	575	22	597
Fresh	6	50	56
Picked	3	2	5
Done	0	3	3
Total	584	77	661

Accuracy

99.7%

Counts

661 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
	98.7%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.0%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal 2 binary32) v))) v)
	98.1%	(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 #s(literal 2 binary32) v))
	97.5%	(/.f32 (.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))) cosTheta_i) cosTheta_O) (*.f32 v v))
	98.5%	(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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)))
	98.3%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (*.f32 #s(literal -2 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) v)
	98.5%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
	63.6%	(/.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 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
	63.6%	(/.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))
	63.6%	(/.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
	97.6%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 #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))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (-.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)))))
	57.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
	98.1%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 v (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v)) (.f32 #s(literal 2 binary32) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))
	98.6%	(.f32 (/.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
	98.3%	(.f32 (/.f32 (/.f32 cosTheta_O v) 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))) cosTheta_i))
	98.2%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	63.6%	(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
	63.6%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.3%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (/.f32 cosTheta_O v)))
	98.3%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32))))
✓	98.4%	(.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.3%	(.f32 (/.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 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))))
	63.6%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	63.6%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	57.9%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	98.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	57.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
	57.9%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
	48.1%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
	98.6%	(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (.f32 cosTheta_O (pow.f32 #s(approx (exp sinTheta_O) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) sinTheta_O #s(literal 1/2 binary32)) sinTheta_O #s(literal 1 binary32)) sinTheta_O #s(literal 1 binary32))) (/.f32 (neg.f32 sinTheta_i) v))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.9%	(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
	56.0%	(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
	98.2%	(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 cosTheta_i #s(literal 2 binary32)))
	57.9%	(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
	48.1%	(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) v))
	57.9%	(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
	98.6%	(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)))
	98.4%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	57.9%	#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))
✓	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
✓	57.9%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
	51.6%	#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
✓	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
	51.6%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
	48.3%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
	56.0%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) v)))
	56.0%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
	48.1%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) v)))
	56.0%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
	51.6%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
	57.9%	#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))

Compiler

Compiled 8 224 to 3 182 computations (61.3% saved)

regimes216.0ms (2.2%)

Memory

19.2MiB live, 169.3MiB allocated

Counts

116 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
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(/.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 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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)))
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(/.f32 (.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))) cosTheta_i) cosTheta_O) (*.f32 v v))
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(/.f32 (.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (.f32 v v))
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(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
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(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 2 binary32)) v))
(.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (.f32 #s(literal 2 binary32) v))) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v #s(literal -2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (.f32 #s(literal 2 binary32) v)) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 #s(literal -2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))))

Outputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Calls

8 calls:

33.0ms	sinTheta_i
28.0ms	cosTheta_O
27.0ms	sinTheta_O
27.0ms	cosTheta_i
26.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes207.0ms (2.1%)

Memory

-34.7MiB live, 138.1MiB allocated

Counts

87 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v 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 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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 #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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (.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))) cosTheta_i) cosTheta_O) (*.f32 v v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 #s(literal 2 binary32) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_O v) 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))) cosTheta_i))
(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) 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)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (-.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)))
(.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i)
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 (/.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (.f32 v v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #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))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (/.f32 cosTheta_O v)))
(.f32 (/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 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)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (.f32 (/.f32 #s(literal 2 binary32) (.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 cosTheta_i #s(literal 2 binary32)))

Outputs
(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Calls

8 calls:

45.0ms	v
32.0ms	(*.f32 cosTheta_i cosTheta_O)
21.0ms	cosTheta_O
20.0ms	sinTheta_i
20.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes149.0ms (1.5%)

Memory

10.7MiB live, 140.3MiB allocated

Counts

81 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v 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 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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 #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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (.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))) cosTheta_i) cosTheta_O) (*.f32 v v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 #s(literal 2 binary32) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_O v) 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))) cosTheta_i))
(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 (.f32 #s(literal 2 binary32) v) 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)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (neg.f32 v) (-.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)))
(.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i)
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(.f32 (/.f32 (/.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (.f32 v v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(approx (- 1 (/ (* sinTheta_O sinTheta_i) v)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O))) (/.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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #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))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (/.f32 cosTheta_O v)))
(.f32 (/.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_O v) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 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)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))

Outputs

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

Calls

8 calls:

20.0ms	sinTheta_i
19.0ms	cosTheta_O
18.0ms	v
18.0ms	sinTheta_O
18.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
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%	1	`cosTheta_i`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes133.0ms (1.3%)

Memory

13.1MiB live, 100.8MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v 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 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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 #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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (.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))) cosTheta_i) cosTheta_O) (*.f32 v v))
(/.f32 (.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (/.f32 cosTheta_O v))) (.f32 #s(literal 2 binary32) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) v)) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (/.f32 cosTheta_O v) 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))) cosTheta_i))

Outputs

(*.f32 (/.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))

Calls

8 calls:

32.0ms	sinTheta_i
18.0ms	cosTheta_i
15.0ms	(*.f32 sinTheta_i sinTheta_O)
14.0ms	v
14.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
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%	1	`cosTheta_i`
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes102.0ms (1%)

Memory

-11.1MiB live, 90.6MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v 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 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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)))

Outputs

(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #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)))

Calls

8 calls:

14.0ms	sinTheta_O
13.0ms	cosTheta_i
13.0ms	sinTheta_i
13.0ms	v
12.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	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))`
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes104.0ms (1.1%)

Memory

2.8MiB live, 98.1MiB allocated

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 cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v 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))

Outputs

(*.f32 (/.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 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))))

Calls

8 calls:

15.0ms	sinTheta_O
15.0ms	cosTheta_O
13.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	sinTheta_i
12.0ms	v

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	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))`
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes145.0ms (1.5%)

Memory

-27.1MiB live, 83.2MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_i v)) (.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Outputs

(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_i v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Calls

8 calls:

46.0ms	(*.f32 sinTheta_i sinTheta_O)
24.0ms	(*.f32 cosTheta_i cosTheta_O)
14.0ms	sinTheta_O
12.0ms	v
12.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.0%	1	`cosTheta_O`
98.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.0%	1	`cosTheta_i`
98.0%	1	`sinTheta_i`
98.0%	1	`sinTheta_O`
98.0%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes120.0ms (1.2%)

Memory

20.1MiB live, 79.2MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))) (*.f32 sinTheta_i sinTheta_i)))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))))
(.f32 (/.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_O v) v)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
#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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.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_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v))))) (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (+.f32 cosTheta_O (-.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/6 binary32)))) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) cosTheta_i))) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (neg.f32 v)))

Outputs

(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))

Calls

8 calls:

36.0ms	cosTheta_i
13.0ms	(/.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))
12.0ms	v
12.0ms	sinTheta_i
12.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
63.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.6%	1	`cosTheta_i`
63.6%	1	`cosTheta_O`
63.6%	1	`sinTheta_i`
63.6%	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))`
63.6%	1	`sinTheta_O`
63.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes73.0ms (0.7%)

Memory

-20.3MiB live, 80.9MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) 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 #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_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O cosTheta_i) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) (neg.f32 v)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) cosTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (*.f32 v v))))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/6 binary32) cosTheta_O)) v) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) cosTheta_O)) cosTheta_i)) (neg.f32 v)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v)) #s(literal -1/3 binary32)) (.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))

Outputs

(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #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))

Calls

8 calls:

11.0ms	sinTheta_i
10.0ms	cosTheta_O
10.0ms	sinTheta_O
9.0ms	v
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
63.6%	1	`sinTheta_O`
63.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.6%	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))`
63.6%	1	`sinTheta_i`
63.6%	1	`cosTheta_i`
63.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.6%	1	`cosTheta_O`
63.6%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes62.0ms (0.6%)

Memory

23.9MiB live, 84.5MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) cosTheta_i) 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)) #s(approx (* (* (sinh (/ 1 v)) 2) 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)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) #s(literal 2 binary32)) v))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) (*.f32 v v)) #s(literal 1/2 binary32))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) (neg.f32 v))) (neg.f32 v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32)))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) v)) v))) cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_i)) v)) v))) cosTheta_O) v)))

Outputs

(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

Calls

8 calls:

9.0ms	sinTheta_O
8.0ms	sinTheta_i
8.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
7.0ms	cosTheta_O
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
63.6%	1	`sinTheta_i`
63.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.6%	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))`
63.6%	1	`cosTheta_i`
63.6%	1	`cosTheta_O`
63.6%	1	`sinTheta_O`
63.6%	1	`v`
63.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes47.0ms (0.5%)

Memory

1.9MiB live, 67.8MiB allocated

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 cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v)))
(.f32 #s(approx (/ (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(.f32 #s(approx (/ ( cosTheta_i (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (* 2 (sinh (/ 1 v)))) (.f32 (.f32 v cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal -1/6 binary32) cosTheta_O))) cosTheta_i) v)))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (* (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (* 2 v)) (/ (pow (exp sinTheta_O) (/ sinTheta_i (* -2 v))) (sinh (/ 1 v)))) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O #s(approx (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal -1/6 binary32))))) cosTheta_i) v)))
(/.f32 (.f32 cosTheta_O cosTheta_i) #s(approx ( (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (* (* 2 v) (sinh (/ 1 v)))) (.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (exp (* (/ (neg sinTheta_i) v) sinTheta_O)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)) v))
(.f32 #s(approx (/ ( (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_O v) v)) (sinh (/ 1 v))) (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) (neg.f32 v))) (/.f32 cosTheta_i #s(literal 2 binary32)))
(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i #s(approx (/ ( -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v)) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32)))) (neg.f32 v)))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))))
#s(approx (* (/ cosTheta_O v) (* cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))))) #s(approx (/ (+ (* (* -1/2 cosTheta_O) cosTheta_i) (/ (* -1/2 (+ (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 cosTheta_O) (* (* (* sinTheta_O sinTheta_O) cosTheta_i) (* sinTheta_i sinTheta_i))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) (neg v))) (neg v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) #s(approx (+ cosTheta_O (/ (+ (* (neg (* cosTheta_O sinTheta_O)) sinTheta_i) (/ (+ (* (* 1/2 cosTheta_O) (* (* sinTheta_i sinTheta_i) (* sinTheta_O sinTheta_O))) (* -1/6 cosTheta_O)) v)) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)))) 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:

8.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	cosTheta_O
6.0ms	v
6.0ms	sinTheta_i
6.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.9%	1	`sinTheta_i`
57.9%	1	`cosTheta_i`
57.9%	1	`cosTheta_O`
57.9%	1	`sinTheta_O`
57.9%	1	`v`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes31.0ms (0.3%)

Memory

-18.3MiB live, 13.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	(*.f32 cosTheta_i cosTheta_O)
3.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_O
2.0ms	sinTheta_i
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.9%	1	`sinTheta_i`
57.9%	1	`cosTheta_i`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.9%	1	`cosTheta_O`
57.9%	1	`v`
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.9%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes16.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))

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

Calls

8 calls:

3.0ms	cosTheta_O
2.0ms	v
2.0ms	sinTheta_O
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.9%	1	`sinTheta_i`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.9%	1	`cosTheta_i`
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`cosTheta_O`
57.9%	1	`v`
57.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.9%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes19.0ms (0.2%)

Memory

-19.3MiB live, 12.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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 cosTheta_i) v)))

#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))

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

Calls

8 calls:

11.0ms	v
1.0ms	cosTheta_i
1.0ms	sinTheta_O
1.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
1.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
57.9%	1	`v`
57.9%	1	`cosTheta_i`
57.9%	1	`sinTheta_i`
57.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.9%	1	`sinTheta_O`
57.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.9%	1	`cosTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify57.0ms (0.6%)

Memory

15.0MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	412
1	170	412
2	348	408
3	1230	407
4	5998	407

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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 #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 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) 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))))
#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 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Outputs
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_O (exp.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))) (/.f32 cosTheta_i (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 #s(approx ( cosTheta_O (pow (exp sinTheta_O) (/ (neg sinTheta_i) v))) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (.f32 (.f32 v (*.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)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) v)))
(/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #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 #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 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(approx (* (pow (exp sinTheta_O) (/ sinTheta_i v)) v) (fma.f32 sinTheta_O sinTheta_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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) 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 #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))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) 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))))
#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 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

soundness977.0ms (9.9%)

Memory

10.9MiB live, 391.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68
0	56	313
0	90	313
1	260	313
0	1290	313
0	81	437
0	131	437
1	406	433
2	2382	423
0	8057	420
0	100	579
0	145	579
1	506	529
2	3465	529
0	8302	523
0	1033	6413
1	4002	6264
0	8646	5964
0	780	4025
1	2905	3860
0	8245	3691
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 246 to 763 computations (38.8% saved)

preprocess148.0ms (1.5%)

Memory

-6.4MiB live, 117.1MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 1 132 to 486 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze571.0ms (5.8%)

sample1.9s (19.6%)

explain156.0ms (1.6%)

preprocess147.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify102.0ms (1%)

localize52.0ms (0.5%)

series57.0ms (0.6%)

simplify179.0ms (1.8%)

rewrite665.0ms (6.7%)

eval114.0ms (1.2%)

prune31.0ms (0.3%)

simplify118.0ms (1.2%)

localize116.0ms (1.2%)

series283.0ms (2.9%)

simplify156.0ms (1.6%)

rewrite68.0ms (0.7%)

eval78.0ms (0.8%)

prune53.0ms (0.5%)

simplify117.0ms (1.2%)

localize192.0ms (1.9%)

series250.0ms (2.5%)

simplify179.0ms (1.8%)

rewrite194.0ms (2%)

eval111.0ms (1.1%)

prune104.0ms (1%)

simplify131.0ms (1.3%)

localize214.0ms (2.2%)

series344.0ms (3.5%)

simplify191.0ms (1.9%)

rewrite160.0ms (1.6%)

eval112.0ms (1.1%)

prune109.0ms (1.1%)

regimes216.0ms (2.2%)

regimes207.0ms (2.1%)

regimes149.0ms (1.5%)

regimes133.0ms (1.3%)

regimes102.0ms (1%)

regimes104.0ms (1.1%)

regimes145.0ms (1.5%)

regimes120.0ms (1.2%)

regimes73.0ms (0.7%)

regimes62.0ms (0.6%)

regimes47.0ms (0.5%)

regimes31.0ms (0.3%)

regimes16.0ms (0.2%)

regimes19.0ms (0.2%)

simplify57.0ms (0.6%)

soundness977.0ms (9.9%)

preprocess148.0ms (1.5%)

end0.0ms (0%)

Profiling