Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated

analyze1.1s (7.3%)

Memory

7.7MiB live, 3 275.7MiB 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)

sample2.9s (18.9%)

Memory

79.8MiB live, 6 074.7MiB allocated

Samples

2.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 413.0ms (26.6% of total)

ival-div: 295.0ms (19% of total)

ival-<=: 284.0ms (18.3% of total)

const: 266.0ms (17.1% of total)

ival-sinh: 86.0ms (5.5% of total)

ival-exp: 78.0ms (5% of total)

ival-and: 55.0ms (3.5% of total)

ival-neg: 38.0ms (2.4% of total)

ival-<: 20.0ms (1.3% of total)

exact: 16.0ms (1% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain224.0ms (1.4%)

Memory

45.6MiB live, 516.1MiB 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))`
0	-	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
4	(6.265902833611988e-21 1.9578134835049732e-26 2.8424202248367777e-16 5.47836011210398e-27 0.15451078116893768)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	4	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	78

Confusion

	Predicted +	Predicted -
+	0	0
-	4	252

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	4	0	252

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

97.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 33.0ms (50.1% of total)

ival-mult: 17.0ms (25.8% of total)

ival-sinh: 8.0ms (12.1% of total)

ival-exp: 4.0ms (6.1% of total)

ival-neg: 3.0ms (4.6% of total)

ival-true: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

preprocess306.0ms (2%)

Memory

-31.2MiB live, 340.0MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify133.0ms (0.9%)

Memory

43.4MiB live, 180.1MiB 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)

localize79.0ms (0.5%)

Memory

0.9MiB live, 150.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.28737761208351764	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	0.30697886953663195	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

68.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 23.0ms (54.8% of total)

ival-div: 12.0ms (28.6% of total)

ival-exp: 2.0ms (4.8% of total)

ival-sinh: 2.0ms (4.8% of total)

ival-neg: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series81.0ms (0.5%)

Memory

5.7MiB live, 286.7MiB 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
18.0ms	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))
10.0ms	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))
9.0ms	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))
6.0ms	sinTheta_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))
5.0ms	v	@	inf	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify239.0ms (1.5%)

Memory

-19.4MiB live, 358.2MiB 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))

rewrite210.0ms (1.4%)

Memory

9.3MiB live, 297.7MiB 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)))
(/.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 3 binary32)) (pow.f32 (.f32 (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) #s(literal 3 binary32)))) (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)) (-.f32 (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)) (.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)))))))
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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))))

eval121.0ms (0.8%)

Memory: -30.2MiB live, 231.0MiB allocated
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune49.0ms (0.3%)

Memory

-11.5MiB live, 133.5MiB allocated

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	598	36	634
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	599	36	635

Accuracy

99.8%

Counts

635 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))
	98.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.5%	(/.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)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
	98.8%	(/.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))))
	93.2%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.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)))) (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))
	93.2%	(/.f32 (.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))) (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.3%	(/.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (/.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)))) (neg.f32 v))
▶	98.8%	(/.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 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
	97.6%	(/.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 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (exp.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)))))) #s(literal 2 binary32)) v))
	98.7%	(/.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))
	98.6%	(/.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 (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))) #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))
	98.8%	(/.f32 (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) 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)))))
	98.6%	(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(.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)))))
	98.9%	(.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))
	96.3%	(.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))))
▶	98.8%	(.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)))))
	98.6%	(.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))
	98.8%	(.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)))))
	98.5%	(.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)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	98.9%	(.f32 cosTheta_i (.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)))))
	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)))))
	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
	98.4%	#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)))))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))

Compiler

Compiled 2 228 to 1 690 computations (24.1% saved)

simplify113.0ms (0.7%)

Memory

47.2MiB live, 275.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	437
0	79	437
1	169	437
2	522	429
3	2527	428
4	6769	428
0	8491	428

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.2%)

Memory

-14.6MiB live, 287.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.171875	(.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	0.23046875	(.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	0.36328125	(/.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	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.21484375	(/.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))
accuracy	0.27734375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.34987761208351764	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v))
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.21484375	(/.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))
accuracy	0.27734375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.30697886953663195	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.0	(*.f32 cosTheta_O cosTheta_i)
accuracy	0.05078125	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
accuracy	0.28737761208351764	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	13.607510486298986	#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	0.12890625	(.f32 cosTheta_i (.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)))))
accuracy	0.34765625	(.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))))
accuracy	0.36328125	(/.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	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

159.0ms

256×

valid

Compiler

Compiled 431 to 43 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 44.0ms (50.6% of total)

ival-mult: 28.0ms (32.2% of total)

ival-pow: 6.0ms (6.9% of total)

ival-exp: 4.0ms (4.6% of total)

ival-neg: 2.0ms (2.3% of total)

ival-sinh: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series342.0ms (2.2%)

Memory

1.6MiB live, 496.9MiB allocated

Counts

20 → 108

Calls

Call 1

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

Outputs
(/ (* 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_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O v)
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 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))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(/ 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)))))))
(/ (* 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)))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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))))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(+ (* 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)))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) 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
(+ 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))))))
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(* 1/2 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 (* 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) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) 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))
(+ 1/2 (* -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)))
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(+ (* -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 (/ (+ 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
57.0ms	cosTheta_i	@	0	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 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))))) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
55.0ms	sinTheta_O	@	inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 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))))) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
45.0ms	sinTheta_O	@	-inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 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))))) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
35.0ms	v	@	inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 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))))) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
29.0ms	cosTheta_O	@	inf	((* (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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_O v) cosTheta_i)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (/ (* (* cosTheta_O cosTheta_i) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (* 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))))) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify716.0ms (4.6%)

Memory

-274.5MiB live, 345.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	648	3453
1	2421	3307
0	8434	3160

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (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_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O v)
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 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))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(/ 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)))))))
(/ (* 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)))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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))))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(+ (* 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)))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) 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
(+ 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))))))
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(* 1/2 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 (* 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) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) 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))
(+ 1/2 (* -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)))
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(+ (* -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 (/ (+ 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_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_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_i v) (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.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) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (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 sinTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_O (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (-.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 sinTheta_O cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (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 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 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 sinTheta_O sinTheta_O)) (-.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 cosTheta_O (pow.f32 v #s(literal 5 binary32))) (.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)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.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 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (.f32 v v)) (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O)) (-.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 cosTheta_O (pow.f32 v #s(literal 5 binary32))) (.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i)) (-.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))
(/ 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_i (/.f32 (/.f32 (neg.f32 sinTheta_O) (*.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)))))
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(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
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(+ (* 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 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_i (/.f32 (/.f32 (neg.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 #s(literal -1/6 binary32) cosTheta_i) (/.f32 (.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 4 binary32))) (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)))) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.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)))))) 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)))))
(* 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 v))
(*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) cosTheta_O) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.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 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_O) cosTheta_O)) (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))))) v)
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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 1/2 binary32))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(+.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (-.f32 (pow.f32 (.f32 sinTheta_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_i cosTheta_O)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) (fma.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 cosTheta_i cosTheta_O))) 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 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/.f32 (fma.f32 (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)) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #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 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.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 (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_i sinTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_i) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_i)) (.f32 v v)) cosTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.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)))))
(/ (+ 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 (+.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))) (/.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 #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 (+.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))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_i) sinTheta_O (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (.f32 #s(literal 1/6 binary32) cosTheta_O)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_O (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32)) cosTheta_i (.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32)) cosTheta_i (.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) cosTheta_i)) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ 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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/12 binary32) (-.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (.f32 sinTheta_i sinTheta_O))) v) (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/12 binary32))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (neg.f32 cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) (.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O (/.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_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32)) cosTheta_i)) v))) v))) v)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) 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 (pow.f32 (.f32 sinTheta_i sinTheta_O) #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 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(/.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #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))) v))) v) #s(literal 1 binary32)) (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_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) 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 (.f32 #s(literal 1/2 binary32) cosTheta_i) sinTheta_i) sinTheta_O (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (.f32 #s(literal 1/6 binary32) cosTheta_i)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 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 (/ (+ 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))

rewrite176.0ms (1.1%)

Memory

13.2MiB live, 434.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	255
0	79	255
1	208	255
2	994	213
0	8383	213

Stop Event

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

Counts

20 → 3 053

Calls

Call 1

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

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

eval324.0ms (2.1%)

Memory: -20.2MiB live, 412.1MiB allocated
Compiler: Compiled 48 821 to 4 319 computations (91.2% saved)

prune126.0ms (0.8%)

Memory

39.2MiB live, 177.0MiB allocated

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	1 688	35	1 723
Fresh	18	13	31
Picked	4	1	5
Done	0	0	0
Total	1 710	49	1 759

Accuracy

99.9%

Counts

1 759 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal -2 binary32) v))
	97.2%	(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v v))
	98.3%	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(/.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))))
	93.2%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.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)))) (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (neg.f32 v)) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.7%	(/.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 #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))
	98.4%	(/.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))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 v v)))
	98.8%	(/.f32 (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.2%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (/.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.9%	(.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))
	98.3%	(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
	92.9%	(.f32 (/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O 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)))))
▶	98.4%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v v))))
	98.4%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (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 v)))
	98.7%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(.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)) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))))
	97.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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)))))))
	57.5%	(.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)))))
	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)))))))
	55.8%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
	57.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
	47.7%	(.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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
	98.5%	(.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))))))
	57.5%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
	98.4%	(.f32 (.f32 (/.f32 (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_O v)) (/.f32 cosTheta_i 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)))))
	98.4%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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)))))))
	55.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
	57.5%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
	47.7%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
	98.4%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
	98.4%	#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)))))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
✓	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
	98.4%	#s(approx (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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 3 174 to 2 428 computations (23.5% saved)

simplify186.0ms (1.2%)

Memory

-23.3MiB live, 115.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) v)
cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
cost-diff	0	(/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff	0	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v v))))
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 v) cosTheta_O)) (.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 v) cosTheta_O))
cost-diff	0	(/.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)
cost-diff	0	#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))
cost-diff	1	(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))
cost-diff	4	(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)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) 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 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
cost-diff	0	(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
cost-diff	0	(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) 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	1	(.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	652
0	129	652
1	267	652
2	811	618
3	4108	618
0	8185	610

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (1.6%)

Memory

-3.3MiB live, 438.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)))
accuracy	0.25390625	(/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.296875	(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v v))
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.21484375	(/.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))
accuracy	0.27734375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.30697886953663195	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.30750262416728735	(/.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)
accuracy	14.140360524501803	#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))
accuracy	14.503319783623132	(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))
accuracy	15.322442246680101	(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)))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.28029252930532605	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
accuracy	13.607510486298986	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
accuracy	0.20703125	(.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))
accuracy	0.28737761208351764	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	0.36328125	(/.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	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

186.0ms

256×

valid

Compiler

Compiled 618 to 69 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 62.0ms (43.1% of total)

ival-div: 52.0ms (36.2% of total)

ival-pow: 11.0ms (7.7% of total)

ival-exp: 7.0ms (4.9% of total)

const: 4.0ms (2.8% of total)

ival-add: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

ival-sinh: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series484.0ms (3.1%)

Memory

53.0MiB live, 893.0MiB allocated

Counts

27 → 202

Calls

Call 1

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

Outputs
(/ (* 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)
(* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* cosTheta_i (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))))
(/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(* -1 (* 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 (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) v)))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v))
(* -1 (* cosTheta_i (+ (* -1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))))
(* -1/2 (/ (* cosTheta_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O))) v))
(* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* cosTheta_O (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))))
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(* 1/2 (/ (* cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* -1 (* 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 (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) v)))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (+ (* 1/2 (/ (* 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)) (pow v 2)))))) v))
(* -1 (* cosTheta_O (+ (* -1/2 cosTheta_i) (+ (* 1/2 (/ (* 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)) (pow v 2)))))))
(* -1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 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 (* 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)))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
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))))))))
(* -1/6 (* cosTheta_O cosTheta_i))
(+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* -1/12 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i sinTheta_O))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)))))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (/ (* 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 (/ (* sinTheta_O sinTheta_i) v))
(+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 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 sinTheta_O)) (* (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 (+ (* 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 sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -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_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2)))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)))
(/ (* sinTheta_O sinTheta_i) v)
(/ 1 (pow v 2))
(+ (/ 1 (pow v 2)) (/ (* sinTheta_O sinTheta_i) (pow v 3)))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 4))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 5))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 4))))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 2)))
(* 1/2 (/ cosTheta_O (pow v 2)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)))))
(* 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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)))))))
(* (pow sinTheta_i 2) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (* 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 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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)))))
(+ (* 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 (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(+ 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))))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (/ (* 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 (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 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 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)))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2)))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 4))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 4))))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 2)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* 1/12 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)))))
(* (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)))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)))))))
(* (pow sinTheta_O 2) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (* 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 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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)))))
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 3))
(/ (+ (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (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))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))
(/ (+ (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (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 2))
(* 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
(+ 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 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(+ 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))))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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))))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* 1/2 (* 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 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
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 (/ (* sinTheta_O sinTheta_i) v)) (pow v 2))
(/ (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (+ 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)))) (pow v 2))
(/ (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) (pow v 2))
(/ (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))) (pow v 2))
(* -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 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(+ 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 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -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 (/ (+ (* -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 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(* -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 (/ (+ (* -1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(/ (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v))) (pow v 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O)) (pow v 2))

Calls

15 calls:

Time	Variable		Point	Expression
110.0ms	sinTheta_i	@	inf	((* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_i cosTheta_O) (/ 1/2 v)) (* cosTheta_i cosTheta_O) (/ 1/2 v) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* cosTheta_O cosTheta_i) v) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))))
51.0ms	cosTheta_i	@	0	((* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_i cosTheta_O) (/ 1/2 v)) (* cosTheta_i cosTheta_O) (/ 1/2 v) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* cosTheta_O cosTheta_i) v) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))))
50.0ms	cosTheta_O	@	0	((* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_i cosTheta_O) (/ 1/2 v)) (* cosTheta_i cosTheta_O) (/ 1/2 v) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* cosTheta_O cosTheta_i) v) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))))
43.0ms	cosTheta_i	@	inf	((* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_i cosTheta_O) (/ 1/2 v)) (* cosTheta_i cosTheta_O) (/ 1/2 v) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* cosTheta_O cosTheta_i) v) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))))
41.0ms	cosTheta_i	@	-inf	((* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* cosTheta_i cosTheta_O) (/ 1/2 v)) (* cosTheta_i cosTheta_O) (/ 1/2 v) (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* cosTheta_O cosTheta_i) v) (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))))

simplify189.0ms (1.2%)

Memory

-15.3MiB live, 258.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1066	6134
1	3982	6049
0	8266	5745

Stop Event

1×	iter limit
1×	node limit

Counts

202 → 202

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (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)
(* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* cosTheta_i (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))))
(/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(* -1 (* 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 (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) v)))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v))
(* -1 (* cosTheta_i (+ (* -1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))))
(* -1/2 (/ (* cosTheta_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O))) v))
(* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* cosTheta_O (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))))
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))))
(* 1/2 (/ (* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(* 1/2 (/ (* cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* -1 (* 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 (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) v)))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (+ (* 1/2 (/ (* 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)) (pow v 2)))))) v))
(* -1 (* cosTheta_O (+ (* -1/2 cosTheta_i) (+ (* 1/2 (/ (* 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)) (pow v 2)))))))
(* -1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 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 (* 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)))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
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))))))))
(* -1/6 (* cosTheta_O cosTheta_i))
(+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* -1/12 (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v)))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i sinTheta_O))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)))))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (/ (* 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 (/ (* sinTheta_O sinTheta_i) v))
(+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 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 sinTheta_O)) (* (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 (+ (* 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 sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -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_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2)))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)))
(/ (* sinTheta_O sinTheta_i) v)
(/ 1 (pow v 2))
(+ (/ 1 (pow v 2)) (/ (* sinTheta_O sinTheta_i) (pow v 3)))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 4))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 5))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 4))))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 2)))
(* 1/2 (/ cosTheta_O (pow v 2)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)))))
(* 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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)))))))
(* (pow sinTheta_i 2) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (* 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 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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)))))
(+ (* 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 (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(+ 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))))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (/ (* 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 (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 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 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)))))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2)))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 4))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 4))))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 2)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* 1/12 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)))))
(* (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)))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)))))))
(* (pow sinTheta_O 2) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (* 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 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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)))))
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 3))
(/ (+ (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (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))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))
(/ (+ (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (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 2))
(* 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
(+ 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 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(+ 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))))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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))))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* 1/2 (* 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 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
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 (/ (* sinTheta_O sinTheta_i) v)) (pow v 2))
(/ (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (+ 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)))) (pow v 2))
(/ (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) (pow v 2))
(/ (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))) (pow v 2))
(* -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 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(+ 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 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -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 (/ (+ (* -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 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(* -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 (/ (+ (* -1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(/ (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v))) (pow v 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O)) (pow v 2))

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_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_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 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)) cosTheta_i)
(* cosTheta_i (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))))
(.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 sinTheta_i sinTheta_O) (.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) #s(literal 1/2 binary32))) cosTheta_i)
(/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.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))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (+.f32 cosTheta_i cosTheta_i) (-.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_i cosTheta_O) v)
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32))) cosTheta_i)
(* 1/2 (/ (* cosTheta_i (+ (* -1/6 cosTheta_O) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) 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)) cosTheta_i) v) #s(literal 1/2 binary32))
(* -1 (* cosTheta_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O))))
(.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)))
(* -1 (* cosTheta_i (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) v)))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal 1/2 binary32) (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)) v))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))) v))
(/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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) (neg.f32 v))
(* -1 (* cosTheta_i (+ (* -1/2 cosTheta_O) (+ (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))
(* -1/2 (/ (* cosTheta_i (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O))) 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)) cosTheta_i) v) #s(literal -1/2 binary32))
(* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(.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)
(* cosTheta_O (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))))
(.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 sinTheta_i sinTheta_O) (.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) #s(literal 1/2 binary32))) cosTheta_O)
(/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(.f32 cosTheta_O (/.f32 (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))) v))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))))
(.f32 (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))) cosTheta_O)
(* 1/2 (/ (* cosTheta_O (+ (* -1/6 cosTheta_i) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))
(.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)) cosTheta_O) v) #s(literal 1/2 binary32))
(* 1/2 (/ (* cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(.f32 (.f32 cosTheta_O (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 v v))) #s(literal 1/2 binary32))
(* -1 (* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i))))
(.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)))
(* -1 (* cosTheta_O (+ (* 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)))))
(.f32 (neg.f32 cosTheta_O) (.f32 #s(literal 1/2 binary32) (fma.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))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 cosTheta_i) (+ (* 1/2 (/ (* 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)) (pow v 2)))))) v))
(/.f32 (.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.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))))) cosTheta_O) (neg.f32 v))
(* -1 (* cosTheta_O (+ (* -1/2 cosTheta_i) (+ (* 1/2 (/ (* 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)) (pow v 2)))))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1/2 binary32) cosTheta_i (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.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))))))
(* -1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i))) v))
(.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)) 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_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 sinTheta_i 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_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (.f32 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 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_O v) (/.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 sinTheta_O sinTheta_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 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 (pow.f32 sinTheta_O #s(literal 3 binary32)) (/.f32 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)))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) v) (/.f32 sinTheta_i v) (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 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 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (/.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))
(* -1/6 (* cosTheta_O cosTheta_i))
(.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) cosTheta_i)
(+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(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))
(* -1/12 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v)))
(fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32)))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i sinTheta_O))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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)) v)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
(fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (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))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal -1/12 binary32) (fma.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_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 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
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(/.f32 (fma.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 (*.f32 sinTheta_i 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 (+ (* 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 sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* 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 sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))
(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 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))
(fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32) (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)))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2)))))))
(fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.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 cosTheta_i sinTheta_O) cosTheta_O) v) #s(literal -1/2 binary32))) sinTheta_i (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)))
(/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(+ (/ 1 (pow v 2)) (/ (* sinTheta_O sinTheta_i) (pow v 3)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 4))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 2)))
(fma.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 5))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 4))))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 2)))
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(* 1/2 (/ cosTheta_O (pow v 2)))
(.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))))
(.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 1/12 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 (.f32 cosTheta_O (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32))) sinTheta_i (.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal 1/2 binary32)))
(/ (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 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(.f32 (/.f32 (exp.f32 (.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) #s(literal 1/2 binary32))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(.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) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 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)))) v))
(.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_i) #s(literal -1/2 binary32))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_i) #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/4 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 cosTheta_i sinTheta_O) 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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_i) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i 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))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)))))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) sinTheta_i) (/.f32 cosTheta_i sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32))) (.f32 sinTheta_i sinTheta_i))
(/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* 1/2 (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) sinTheta_i) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (* 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) v) (/.f32 (.f32 cosTheta_i sinTheta_O) v) (/.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))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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 cosTheta_i sinTheta_O) 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))
(+ (* 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_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (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 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_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ 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 (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 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 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) #s(literal 1/2 binary32) (/.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 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (.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))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) v)) (* sinTheta_O (+ (* -1/2 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_O (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) 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 (.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal -1/12 binary32) (fma.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_i) 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 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(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_i cosTheta_O) 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_i cosTheta_O) v))
(+ (* sinTheta_O (+ (* 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 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 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 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_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* 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 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 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/6 binary32))) sinTheta_O (/.f32 (/.f32 (.f32 (.f32 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_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2)))))))
(fma.f32 (/.f32 #s(literal -1/12 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.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 cosTheta_i sinTheta_i) cosTheta_O) v) #s(literal -1/2 binary32))) sinTheta_O (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 4))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 2)))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 4))))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 #s(literal 1 binary32) (.f32 v v)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))) (* 1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* 1/12 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (.f32 #s(literal 1/12 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 (.f32 cosTheta_O (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32))) sinTheta_O (.f32 (/.f32 cosTheta_O (*.f32 v v)) #s(literal 1/2 binary32)))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 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)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_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)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 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 cosTheta_O v) (/.f32 (.f32 cosTheta_i sinTheta_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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (fma.f32 (/.f32 #s(literal -1/12 binary32) (pow.f32 v #s(literal 3 binary32))) (.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O sinTheta_O)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 cosTheta_i 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) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) 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 sinTheta_i)) (* sinTheta_O v))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)))))))
(.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) sinTheta_O) (/.f32 cosTheta_i sinTheta_O))))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* 1/2 (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O)) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) sinTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (* 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) v) (/.f32 (.f32 cosTheta_i sinTheta_i) v) (/.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))) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) 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 cosTheta_i sinTheta_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))
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) 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)) v) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)
(/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (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 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (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 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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (pow.f32 v #s(literal 3 binary32)))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (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 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))
(/ (+ (* 1/2 (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (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 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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v 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 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_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 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_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 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_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
#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)))))
(+.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_i sinTheta_O) 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_i sinTheta_O) v) (.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))))) #s(literal 1/2 binary32))
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/.f32 (+.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) (fma.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/12 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))))
(* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))
(+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)))
(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)) v) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #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)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (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_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 (/ (* 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_i cosTheta_O)) 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_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) 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 (.f32 (.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)))) v)
(/ (+ (* 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) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) 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))))) v)
(/.f32 (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_i sinTheta_O) 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))))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.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)
(* cosTheta_i v)
(*.f32 cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(.f32 (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/6 binary32) cosTheta_i) v)
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(.f32 (+.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1 binary32) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/6 binary32)))) v)
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) #s(literal -1 binary32) cosTheta_i) (+.f32 (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/6 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)
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))
(+ (* -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)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
(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_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)))))
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 (/ (* sinTheta_O sinTheta_i) v)) (pow v 2))
(/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) (*.f32 v v))
(/ (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/.f32 (+.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32)) (*.f32 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)))) (pow v 2))
(/.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 v v))
(/ (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(/ (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) (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 1/4 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (.f32 v v))
(/ (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))) (pow v 2))
(/.f32 (fma.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32))) #s(literal 1/12 binary32) (fma.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) (.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 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_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_i sinTheta_O) 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_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 (.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))
(+ 1/2 (* -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 (/ (- (* -1/6 (* (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_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 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/4 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 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(+ 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) 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 (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) #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 (/ (+ (* -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_i cosTheta_O (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) 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_i cosTheta_O (/.f32 (neg.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.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) (.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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -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 (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) #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 (/ (+ (* -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_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 (.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 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(.f32 (neg.f32 v) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/6 binary32) (neg.f32 cosTheta_i)))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(.f32 (neg.f32 v) (-.f32 (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal -7/360 binary32) (neg.f32 cosTheta_i)) (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/6 binary32))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(.f32 (neg.f32 v) (-.f32 (neg.f32 (+.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))) cosTheta_i)) (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32) (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/6 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))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
(/ (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v))) (pow v 2))
(/.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_i) sinTheta_O)) (neg.f32 v)) #s(literal 1 binary32)) (*.f32 v v))
(/ (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (neg.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))) v))) v) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 v v))
(/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1/4 binary32) (.f32 (.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) (neg.f32 v))) (.f32 v v))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 sinTheta_i sinTheta_O) (/.f32 (fma.f32 (.f32 #s(literal 1/4 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 1/12 binary32))) (neg.f32 v))) (neg.f32 v))) (.f32 v v))

rewrite233.0ms (1.5%)

Memory

4.0MiB live, 288.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	435
0	129	435
1	372	435
2	2090	423
0	8181	423

Stop Event

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

Counts

27 → 1 044

Calls

Call 1

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

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

eval134.0ms (0.9%)

Memory: 10.1MiB live, 231.2MiB allocated
Compiler: Compiled 58 010 to 5 080 computations (91.2% saved)

prune92.0ms (0.6%)

Memory

25.0MiB live, 173.1MiB allocated

Pruning

70 alts after pruning (67 fresh and 3 done)

	Pruned	Kept	Total
New	1 067	36	1 103
Fresh	12	31	43
Picked	3	2	5
Done	0	1	1
Total	1 082	70	1 152

Accuracy

99.9%

Counts

1 152 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v v))
	98.8%	(/.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))))
	93.2%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.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)))) (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))
	98.8%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.7%	(/.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 #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))
	98.4%	(/.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))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.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 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) (.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O #s(literal 2 binary32))))
	97.2%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (/.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	98.7%	(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
▶	98.9%	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
	98.2%	(.f32 (/.f32 (.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (/.f32 cosTheta_O #s(literal 2 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
	98.6%	(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	98.7%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v) #s(literal 2 binary32))))
	98.3%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
	98.4%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))))
▶	98.5%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
	98.6%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
	98.4%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (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 v)))
	98.7%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(.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)) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))))
	57.5%	(.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)))))
	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)))))))
	55.8%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
	57.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
	47.7%	(.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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
	98.5%	(.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))))))
	57.5%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
	98.4%	(.f32 (.f32 (/.f32 (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_O v)) (/.f32 cosTheta_i 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)))))
▶	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #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) v))
	98.6%	(.f32 #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 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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)))))))
	55.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
	57.5%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
	47.7%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
	98.4%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	47.9%	#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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
	47.9%	#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 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
	47.8%	#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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
	47.8%	#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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
	52.0%	#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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
	47.8%	#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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	57.5%	#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_i) cosTheta_O) v))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
	52.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
	52.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))) v))
	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
	47.8%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))) v))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
	57.5%	#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) v) cosTheta_i) cosTheta_O))
▶	57.5%	#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) v) cosTheta_O) cosTheta_i))
	98.7%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
✓	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
✓	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
	52.0%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1/2 binary32))) v))))
	57.5%	#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
	98.4%	#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	52.1%	#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
	52.1%	#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))

Compiler

Compiled 5 940 to 4 261 computations (28.3% saved)

simplify96.0ms (0.6%)

Memory

26.1MiB live, 112.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	527
0	119	527
1	260	524
2	845	522
3	4236	522
0	8253	519

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (1.3%)

Memory

-43.1MiB live, 244.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(.f32 (/.f32 (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 cosTheta_O))
accuracy	0.2890625	(/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
accuracy	0.6086073420931313	(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v v))
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.23341752930532603	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
accuracy	0.25	(/.f32 cosTheta_O (*.f32 v v))
accuracy	0.25390625	(/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.28737761208351764	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	0.37890625	(/.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)
accuracy	25.38373982602669	#s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 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)))
accuracy	26.665667703917098	(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))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.140625	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
accuracy	0.2890625	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)
accuracy	13.607510486298986	#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) v) cosTheta_O) cosTheta_i))
accuracy	0.201503759768442	(.f32 (/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
accuracy	0.28515625	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O)
accuracy	0.34212875976844204	(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) (.f32 #s(literal 2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

150.0ms

256×

valid

Compiler

Compiled 470 to 71 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 45.0ms (36.3% of total)

ival-div: 43.0ms (34.7% of total)

ival-pow: 16.0ms (12.9% of total)

ival-exp: 7.0ms (5.7% of total)

const: 4.0ms (3.2% of total)

ival-add: 3.0ms (2.4% of total)

ival-neg: 3.0ms (2.4% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series261.0ms (1.7%)

Memory

10.2MiB live, 429.8MiB allocated

Counts

23 → 172

Calls

Call 1

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

Outputs
(/ (* 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 (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ cosTheta_O v))
(/ cosTheta_O (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_O v)))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))) (* 1/12 (/ 1 (pow v 2))))
(/ 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)))))))
(/ 1/12 (pow v 2))
(+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/12 (/ 1 (pow v 2))))
(+ (* sinTheta_i (+ (* -1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (* 1/2 (/ sinTheta_O v)))) (* 1/12 (/ 1 (pow v 2))))
(+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 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 sinTheta_O)) (* (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 (+ (* 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 sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* 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))))))))) (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(/ 1/6 v)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/6 (/ 1 v)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ sinTheta_O (* sinTheta_i v))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (- (+ (* -1/2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/4 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1/2 (pow sinTheta_i 2)))) (* 1/12 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/2 (/ sinTheta_O (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (pow sinTheta_O 2) (pow v 2))) (+ (* 1/2 (/ sinTheta_O (* sinTheta_i v))) (/ 1/12 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (* 1/6 (/ 1 (* (pow sinTheta_i 2) v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) sinTheta_i)) (* 1/2 (/ sinTheta_O v))) sinTheta_i)) (* 1/4 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/2 (/ sinTheta_O v)) (* 1/12 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/4 (/ (pow sinTheta_O 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(- (+ 1/2 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (* 1/12 (/ 1 (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 (+ (* -1/6 (/ (* 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 (+ (* -1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ sinTheta_i v)))) (* 1/12 (/ 1 (pow v 2))))
(+ (* sinTheta_O (+ (* 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 sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 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 sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* 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))))))))) (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ sinTheta_i (* sinTheta_O v))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (- (+ (* -1/2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/4 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1/2 (pow sinTheta_O 2)))) (* 1/12 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/2 (/ sinTheta_i (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/2 (/ sinTheta_i (* sinTheta_O v))) (/ 1/12 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (* 1/6 (/ 1 (* (pow sinTheta_O 2) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) sinTheta_O)) (* 1/2 (/ sinTheta_i v))) sinTheta_O)) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/2 (/ sinTheta_i v)) (* 1/12 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i v))) (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)))) (pow v 2))
(* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* 1/2 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O)))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (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 (+ (* -1/2 (/ (* 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 (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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))))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* 1/2 (* cosTheta_O (* cosTheta_i v)))
(* v (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(* 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))))))
(* v (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 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)))))))
(* 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 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) 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 (/ (+ (* -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_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* 1/2 cosTheta_O))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O))) (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 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 (/ (- (* -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 (/ (+ (* -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 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(* -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 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -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)))))
(* -1 (* v (+ (* -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)))))
(* -1 (* v (- (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -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 (* 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 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
30.0ms	cosTheta_O	@	0	((* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_O) cosTheta_i) (* (/ 1/2 v) cosTheta_O) (/ 1/2 v) (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (* v v)) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/ (* cosTheta_O cosTheta_i) v) (/ cosTheta_O (* v v)))
27.0ms	cosTheta_i	@	0	((* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_O) cosTheta_i) (* (/ 1/2 v) cosTheta_O) (/ 1/2 v) (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (* v v)) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/ (* cosTheta_O cosTheta_i) v) (/ cosTheta_O (* v v)))
23.0ms	cosTheta_O	@	inf	((* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_O) cosTheta_i) (* (/ 1/2 v) cosTheta_O) (/ 1/2 v) (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (* v v)) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/ (* cosTheta_O cosTheta_i) v) (/ cosTheta_O (* v v)))
23.0ms	cosTheta_O	@	-inf	((* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_O) cosTheta_i) (* (/ 1/2 v) cosTheta_O) (/ 1/2 v) (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (* v v)) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/ (* cosTheta_O cosTheta_i) v) (/ cosTheta_O (* v v)))
23.0ms	cosTheta_i	@	inf	((* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (/ 1/2 v) cosTheta_O) cosTheta_i) (* (/ 1/2 v) cosTheta_O) (/ 1/2 v) (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1 v) (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (* v v)) (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/ (* cosTheta_O cosTheta_i) v) (/ cosTheta_O (* v v)))

simplify165.0ms (1.1%)

Memory

44.4MiB live, 179.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	5463
1	3470	5186
0	8057	4953

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 172

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (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 (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ cosTheta_O v))
(/ cosTheta_O (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_O v)))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))))
(/ 1/2 v)
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))))) (* 1/12 (/ 1 (pow v 2))))
(/ 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)))))))
(/ 1/12 (pow v 2))
(+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/12 (/ 1 (pow v 2))))
(+ (* sinTheta_i (+ (* -1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (* 1/2 (/ sinTheta_O v)))) (* 1/12 (/ 1 (pow v 2))))
(+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 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 sinTheta_O)) (* (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 (+ (* 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 sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* 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))))))))) (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(/ 1/6 v)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/6 (/ 1 v)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))
(* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ sinTheta_O (* sinTheta_i v))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (- (+ (* -1/2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/4 (/ (pow sinTheta_O 2) (pow v 2))) (/ 1/2 (pow sinTheta_i 2)))) (* 1/12 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/2 (/ sinTheta_O (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1/4 (/ (pow sinTheta_O 2) (pow v 2))) (+ (* 1/2 (/ sinTheta_O (* sinTheta_i v))) (/ 1/12 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (* 1/6 (/ 1 (* (pow sinTheta_i 2) v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) sinTheta_i)) (* 1/2 (/ sinTheta_O v))) sinTheta_i)) (* 1/4 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/2 (/ sinTheta_O v)) (* 1/12 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/4 (/ (pow sinTheta_O 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 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))
(- (+ 1/2 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (* 1/12 (/ 1 (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 (+ (* -1/6 (/ (* 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 (+ (* -1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ sinTheta_i v)))) (* 1/12 (/ 1 (pow v 2))))
(+ (* sinTheta_O (+ (* 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 sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 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 sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* 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))))))))) (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ sinTheta_i (* sinTheta_O v))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (- (+ (* -1/2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/4 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1/2 (pow sinTheta_O 2)))) (* 1/12 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/2 (/ sinTheta_i (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/2 (/ sinTheta_i (* sinTheta_O v))) (/ 1/12 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (* 1/6 (/ 1 (* (pow sinTheta_O 2) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) sinTheta_O)) (* 1/2 (/ sinTheta_i v))) sinTheta_O)) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/2 (/ sinTheta_i v)) (* 1/12 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i v))) (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)))) (pow v 2))
(* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* 1/2 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O)))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (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 (+ (* -1/2 (/ (* 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 (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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))))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(* 1/2 (* cosTheta_O (* cosTheta_i v)))
(* v (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(* 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))))))
(* v (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 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)))))))
(* 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 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) 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 (/ (+ (* -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_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* 1/2 cosTheta_O))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O))) (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 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 (/ (- (* -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 (/ (+ (* -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 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(* -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 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -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)))))
(* -1 (* v (+ (* -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)))))
(* -1 (* v (- (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -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 (* 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 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) 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_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_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.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))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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1
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(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) sinTheta_i)) (* 1/2 (/ sinTheta_O v))) sinTheta_i)) (* 1/4 (/ (pow sinTheta_O 2) (pow v 2)))))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/2 (/ sinTheta_O v)) (* 1/12 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (* -1/4 (/ (pow sinTheta_O 2) (pow v 2)))))
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(+ (* 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)))))))
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(+ (* 1/2 (/ cosTheta_O v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
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(+ (* sinTheta_O (+ (* -1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ sinTheta_i v)))) (* 1/12 (/ 1 (pow v 2))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/12 binary32) (.f32 v v)))
(+ (* sinTheta_O (+ (* 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 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 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (.f32 (.f32 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 (+ (* 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 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 (fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/6 binary32))) sinTheta_O (/.f32 (/.f32 (.f32 (.f32 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 (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (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) v) (/.f32 cosTheta_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 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) 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 (.f32 cosTheta_i cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))) #s(literal 1/6 binary32) (.f32 (/.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32))) sinTheta_O)) sinTheta_O (/.f32 (.f32 cosTheta_i cosTheta_O) (-.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)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (.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 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* 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))))))))) (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (.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 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 sinTheta_O v)) #s(literal 1/2 binary32) (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) #s(literal 1/2 binary32) (.f32 (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) #s(literal 1/6 binary32))) sinTheta_O (/.f32 sinTheta_i v)) sinTheta_O #s(literal 1 binary32))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ sinTheta_i (* sinTheta_O v))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (- (+ (* -1/2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/4 (/ (pow sinTheta_i 2) (pow v 2))) (/ 1/2 (pow sinTheta_O 2)))) (* 1/12 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 sinTheta_i sinTheta_O) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/2 (/ sinTheta_i (* sinTheta_O v)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 (/.f32 sinTheta_i (.f32 v sinTheta_O)) #s(literal 1/2 binary32))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/4 (/ (pow sinTheta_i 2) (pow v 2))) (+ (* 1/2 (/ sinTheta_i (* sinTheta_O v))) (/ 1/12 (* (pow sinTheta_O 2) (pow v 2))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (* 1/6 (/ 1 (* (pow sinTheta_O 2) v)))))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) sinTheta_O)) (* 1/2 (/ sinTheta_i v))) sinTheta_O)) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/2 (/ sinTheta_i v)) (* 1/12 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (* -1/4 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (-.f32 (.f32 (/.f32 sinTheta_i v) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) sinTheta_O))) (neg.f32 sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(.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)) #s(literal -1/2 binary32))
(/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i v))) (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 v sinTheta_i) sinTheta_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))
(/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)))) (pow v 2))
(/.f32 (fma.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) (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (*.f32 v v))
(* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(.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)) #s(literal 1/2 binary32))
(/ (+ (* 1/2 (* sinTheta_O (* sinTheta_i v))) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 v sinTheta_i) sinTheta_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))
(* 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 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 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)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (.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 #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))) (.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) (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))) (/.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))) (*.f32 v v)))))) v)
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2)))))
(fma.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)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_O)) (pow v 2))))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) (.f32 #s(literal 1/2 binary32) (+.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)) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O))) v)
(/.f32 (fma.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_O)))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) #s(literal -1/12 binary32) (fma.f32 (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)))) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/12 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))) v)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
(fma.f32 #s(literal -1/2 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 1/2 binary32))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 (-.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_O sinTheta_i) 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_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32)))
(* 1/2 (/ (* sinTheta_O sinTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)
(/.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)
(/ (+ (* 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 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v)))) 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))))) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (/.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))) (*.f32 v v)))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 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 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))) (/.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))) (.f32 v v))))) v)
(* cosTheta_i v)
(*.f32 cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(.f32 (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/6 binary32) cosTheta_i) v)
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(.f32 (-.f32 cosTheta_i (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal -7/360 binary32) (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal 1/6 binary32)))) v)
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(.f32 (-.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal -7/360 binary32) (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal 1/6 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)
(* 1/2 (* cosTheta_O (* cosTheta_i v)))
(.f32 (.f32 (*.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(* v (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v)))) v)
(* 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))))))
(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (/.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))) (.f32 v v)))) v)
(* v (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 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)))))))
(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))) (/.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))) (*.f32 v v))))) v)
(* 1/2 v)
(*.f32 #s(literal 1/2 binary32) v)
(* v (+ 1/2 (* 1/2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)
(* v (+ 1/2 (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) 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 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (+.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 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)))
(+ 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))))
(fma.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_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 #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))
(* -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_O sinTheta_i) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v) (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))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O)) v))) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_O))) (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.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 #s(literal -1/6 binary32) cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_O) v) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal 1/4 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/4 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 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)) (neg.f32 v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #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_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))
(/.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))
(* -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 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) v)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -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 (.f32 #s(literal -1/2 binary32) (-.f32 (/.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) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) (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_O sinTheta_i) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v) (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))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(.f32 (neg.f32 v) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/6 binary32) (neg.f32 cosTheta_i)))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(.f32 (neg.f32 v) (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal -7/360 binary32) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/6 binary32) (neg.f32 cosTheta_i))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(.f32 (neg.f32 v) (-.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32) (.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/6 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))
(* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
(.f32 (neg.f32 v) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -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)))))
(.f32 (neg.f32 v) (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.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) (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) (neg.f32 v))))
(* -1 (* v (+ (* -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)))))
(.f32 (neg.f32 v) (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_O sinTheta_i) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_i)))) v) (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))))) (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_O sinTheta_i) v)) #s(literal 1/2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -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 (.f32 #s(literal -1/2 binary32) (-.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_O sinTheta_i))) (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 (.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))) v) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) 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 (neg.f32 sinTheta_O) sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (neg.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))) v))) v))

rewrite220.0ms (1.4%)

Memory

-4.5MiB live, 228.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	355
0	119	355
1	381	347
2	2133	347
0	8135	339

Stop Event

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

Counts

23 → 403

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 (.f32 v v) #s(literal 2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (*.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 cosTheta_O (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal -2 binary32) v)) cosTheta_O) (/.f32 cosTheta_i v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (.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)) cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 cosTheta_i))) v)
(/.f32 (neg.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 (.f32 v v) #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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))))) v)
(/.f32 (neg.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 #s(literal 2 binary32) v)))) (neg.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O))) (neg.f32 (.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))))) (neg.f32 (.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O))) (neg.f32 (.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O) (neg.f32 cosTheta_i))) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v))) (neg.f32 cosTheta_i))) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O) cosTheta_i)) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (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_O) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.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)) cosTheta_O)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 cosTheta_i)) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 (.f32 v v) #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (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)))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))) (.f32 #s(literal 2 binary32) v))) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O)) (.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (/.f32 cosTheta_O (.f32 #s(literal 2 binary32) v)))) (.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O)) (.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal -2 binary32) v)) cosTheta_O) (neg.f32 cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 v)))
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(+.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 6 binary32)) #s(literal -1/8 binary32)) (.f32 (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/6 binary32)))) v)) (/.f32 #s(literal 1/216 binary32) (.f32 (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/6 binary32)))) v)))
(+.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 6 binary32)) #s(literal -1/8 binary32)) (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/6 binary32))))) v) (/.f32 (/.f32 #s(literal 1/216 binary32) (-.f32 (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/6 binary32))))) v))
(+.f32 (/.f32 #s(literal 1/6 binary32) v) (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) v)))
(+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) v)) (/.f32 #s(literal 1/6 binary32) v))
(neg.f32 (/.f32 (fma.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) (neg.f32 v)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) v)
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(/.f32 (neg.f32 (/.f32 (neg.f32 cosTheta_O) v)) v)
(/.f32 (neg.f32 (neg.f32 (/.f32 cosTheta_O v))) v)
(/.f32 (neg.f32 (neg.f32 (neg.f32 cosTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (/.f32 (neg.f32 cosTheta_O) v) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O v) v)
(/.f32 (neg.f32 cosTheta_O) (*.f32 (neg.f32 v) v))
(/.f32 cosTheta_O (*.f32 v v))
(neg.f32 (/.f32 cosTheta_O (*.f32 (neg.f32 v) v)))

eval82.0ms (0.5%)

Memory: 12.7MiB live, 159.1MiB allocated
Compiler: Compiled 27 608 to 3 169 computations (88.5% saved)

prune106.0ms (0.7%)

Memory

-30.9MiB live, 208.8MiB allocated

Pruning

77 alts after pruning (71 fresh and 6 done)

	Pruned	Kept	Total
New	599	33	632
Fresh	24	38	62
Picked	2	3	5
Done	0	3	3
Total	625	77	702

Accuracy

99.9%

Counts

702 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.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))))
	93.2%	(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.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)))) (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))
	97.2%	(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
	98.8%	(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	98.7%	(/.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))
	57.5%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
	57.5%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
	57.5%	(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
	98.4%	(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.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 (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))) #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))
	98.4%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.6%	(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
	98.4%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) v) (.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O #s(literal 2 binary32))))
	97.2%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (/.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))))
	98.7%	(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
	98.1%	(.f32 (/.f32 (.f32 #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
	98.6%	(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	98.7%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v) #s(literal 2 binary32))))
	98.3%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
	98.4%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))
✓	98.5%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
	98.6%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
	98.1%	(.f32 (/.f32 cosTheta_i (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
	63.5%	(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
	63.5%	(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
	98.4%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (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 v)))
	98.7%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(.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)) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 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)))))))
	57.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
	47.7%	(.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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
	98.5%	(.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))))))
	57.5%	(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
	98.4%	(.f32 (.f32 (/.f32 (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_O v)) (/.f32 cosTheta_i v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	98.6%	(.f32 #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 cosTheta_O cosTheta_i) v))
	55.9%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	55.9%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	55.9%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	52.1%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	47.7%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))) (/.f32 cosTheta_i v))
	98.5%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v))
	57.5%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
	57.5%	(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
	98.4%	(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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)))))))
	98.4%	(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	47.9%	#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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
	52.0%	#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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
	47.8%	#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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
	57.5%	#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_i) cosTheta_O) v))
	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
	52.1%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
	57.5%	#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) v) cosTheta_i) cosTheta_O))
✓	57.5%	#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) v) cosTheta_O) cosTheta_i))
✓	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)))
✓	57.5%	#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
	57.5%	#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
	52.1%	#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))

Compiler

Compiled 8 766 to 3 160 computations (64% saved)

regimes316.0ms (2%)

Memory

8.2MiB live, 432.3MiB allocated

Counts

141 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
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(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 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 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)) (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 cosTheta_O 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 (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))) (.f32 cosTheta_O cosTheta_i)) (.f32 (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))) (.f32 (.f32 v (.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.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)))) (-.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_i v) sinTheta_O (.f32 (/.f32 sinTheta_i v) sinTheta_O))) (.f32 (cosh.f32 (.f32 (/.f32 sinTheta_i v) sinTheta_O)) (sinh.f32 (.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)))))
(/.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 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) #s(literal 8 binary32))) (+.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (exp.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)))))) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

51.0ms	(/.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))
48.0ms	cosTheta_i
46.0ms	cosTheta_O
35.0ms	sinTheta_O
34.0ms	sinTheta_i

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)

regimes310.0ms (2%)

Memory

0.1MiB live, 432.2MiB allocated

Counts

122 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
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#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(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
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(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
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(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
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#s(approx (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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)))))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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 #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 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_i (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.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 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)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 v v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))))
(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v 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_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
(/.f32 (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.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))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (neg.f32 v)) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.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 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (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 v)))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (/.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))
(.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)))))
(.f32 cosTheta_i (.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)))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.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 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)))))

Outputs

(*.f32 cosTheta_i (*.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)))))

Calls

8 calls:

64.0ms	cosTheta_O
42.0ms	(*.f32 cosTheta_i cosTheta_O)
34.0ms	cosTheta_i
31.0ms	v
31.0ms	sinTheta_i

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)

regimes420.0ms (2.7%)

Memory

45.5MiB live, 373.0MiB allocated

Counts

118 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
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(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))
(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (*.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 cosTheta_O #s(literal 2 binary32)) #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (/.f32 #s(literal 1 binary32) (*.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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)))))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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 #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 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_i (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.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 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)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 v v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))))
(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v 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_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
(/.f32 (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.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))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (neg.f32 v)) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.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 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (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 v)))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (/.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))
(.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)))))

Outputs

(*.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)))))

Calls

8 calls:

103.0ms	(/.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))
63.0ms	cosTheta_O
63.0ms	(*.f32 sinTheta_i sinTheta_O)
54.0ms	sinTheta_i
50.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes373.0ms (2.4%)

Memory

-40.0MiB live, 298.7MiB allocated

Counts

117 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))
(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (*.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 cosTheta_O #s(literal 2 binary32)) #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (/.f32 #s(literal 1 binary32) (*.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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)))))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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 #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 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_i (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.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 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)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 v v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))))
(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v 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_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
(/.f32 (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.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))
(/.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 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)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))
(/.f32 (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (neg.f32 v)) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.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 sinTheta_O v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal -2 binary32) v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (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 v)))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 v v))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (.f32 v v)) (/.f32 (*.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O 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 sinTheta_i v))) (.f32 v v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (*.f32 #s(literal 2 binary32) v))

Outputs

(/.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))

Calls

8 calls:

68.0ms	sinTheta_O
61.0ms	(*.f32 cosTheta_i cosTheta_O)
50.0ms	(/.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))
44.0ms	v
35.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
98.8%	1	`sinTheta_i`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_O`
98.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes393.0ms (2.5%)

Memory

19.5MiB live, 249.9MiB allocated

Counts

101 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))) (/.f32 cosTheta_i v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #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 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))
(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (*.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 cosTheta_O #s(literal 2 binary32)) #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (/.f32 #s(literal 1 binary32) (*.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* cosTheta_i (* (/ cosTheta_O v) (/ (/ (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)))))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i 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 cosTheta_i (.f32 (/.f32 cosTheta_O v) #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 #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 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_i (sinh.f32 (exp.f32 (.f32 (log.f32 v) #s(literal -1 binary32))))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.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 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)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 v v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 (.f32 v (*.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 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))))
(/.f32 (.f32 (/.f32 (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 cosTheta_O)) (.f32 v 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_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v))
(/.f32 (.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

92.0ms	(*.f32 cosTheta_i cosTheta_O)
63.0ms	sinTheta_O
58.0ms	cosTheta_O
57.0ms	(*.f32 sinTheta_i sinTheta_O)
50.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes185.0ms (1.2%)

Memory

28.0MiB live, 178.0MiB allocated

Counts

74 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))) (/.f32 cosTheta_i v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #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 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))
(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(.f32 (/.f32 (.f32 #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (*.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 cosTheta_O #s(literal 2 binary32)) #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)) (/.f32 #s(literal 1 binary32) (*.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

37.0ms	(*.f32 sinTheta_i sinTheta_O)
32.0ms	cosTheta_O
29.0ms	sinTheta_O
18.0ms	v
18.0ms	sinTheta_i

Results

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

regimes192.0ms (1.2%)

Memory

-8.8MiB live, 177.6MiB allocated

Counts

70 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))
(.f32 (/.f32 #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))

Outputs

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

Calls

8 calls:

35.0ms	(*.f32 cosTheta_i cosTheta_O)
28.0ms	sinTheta_O
25.0ms	(/.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))
17.0ms	v
17.0ms	sinTheta_i

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes330.0ms (2.1%)

Memory

-20.9MiB live, 161.9MiB allocated

Counts

69 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))) (/.f32 cosTheta_i v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #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 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(approx (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) v) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 #s(approx (pow (exp 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 cosTheta_O)) (.f32 v v))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal 1/2 binary32))))

Outputs

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

Calls

8 calls:

72.0ms	(/.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))
69.0ms	cosTheta_O
54.0ms	sinTheta_O
16.0ms	v
16.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes212.0ms (1.4%)

Memory

14.4MiB live, 256.4MiB allocated

Counts

66 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
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(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 (.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

93.0ms	sinTheta_i
20.0ms	cosTheta_O
17.0ms	(*.f32 sinTheta_i sinTheta_O)
16.0ms	cosTheta_i
16.0ms	v

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes165.0ms (1.1%)

Memory

-31.3MiB live, 210.9MiB allocated

Counts

62 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))) (/.f32 cosTheta_i v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #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 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (/.f32 #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

32.0ms	v
30.0ms	cosTheta_i
22.0ms	(*.f32 sinTheta_i sinTheta_O)
22.0ms	cosTheta_O
15.0ms	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)

regimes150.0ms (1%)

Memory

-30.5MiB live, 257.6MiB allocated

Counts

61 → 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 cosTheta_i cosTheta_O) (/.f32 #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) v) cosTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (.f32 (/.f32 cosTheta_i v) (.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ cosTheta_i (sinh (/ 1 v))) (.f32 cosTheta_i v)) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(/.f32 #s(approx (* (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* (sinh (/ 1 v)) 2)) (* cosTheta_i cosTheta_O)) (.f32 (.f32 (.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))) (.f32 v v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #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) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))))
(.f32 (/.f32 cosTheta_O v) #s(approx ( cosTheta_i (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (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))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) v)) v))
#s(approx (* (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (/.f32 (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.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))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O #s(approx (/ (+ ( (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) #s(literal 1 binary32)) v))) #s(approx (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 sinTheta_O sinTheta_O)) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (-.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 #s(literal -1/2 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 1/2 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #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_O sinTheta_i) 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))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.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_i sinTheta_O) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (.f32 (/.f32 sinTheta_O (.f32 v sinTheta_i)) #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) 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 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32)) cosTheta_i (*.f32 #s(literal 1/6 binary32) cosTheta_i)) v))) v))))
(.f32 (/.f32 cosTheta_i #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))) #s(approx ( (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v))) (.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/6 binary32) v)))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_i cosTheta_O) sinTheta_O (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) v)) (neg.f32 v))))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (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)) v))) (neg.f32 v)))) (/.f32 cosTheta_i v))
(/.f32 (.f32 #s(approx (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) ( (sinh (/ 1 v)) 2)) (.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i 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)) v)) (.f32 cosTheta_i cosTheta_O)) (.f32 v v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(approx (/ (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) v) (.f32 cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 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))) (.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #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 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) cosTheta_O (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) 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))))))) v))
(.f32 cosTheta_i #s(approx ( (/ cosTheta_O v) (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) cosTheta_O) (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1/6 binary32) cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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 (.f32 (.f32 (.f32 (.f32 v sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (* (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) -1) 1/2) (fma.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal -1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 v v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (.f32 (fma.f32 (/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) v) (/.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v))) (.f32 sinTheta_i sinTheta_i))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (fma.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O v))) sinTheta_i (/.f32 #s(literal 1/12 binary32) (.f32 v v)))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #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 #s(approx (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v) (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) (.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 #s(approx (+ ( -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) (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)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (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 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 #s(approx (+ ( (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/4 binary32) (.f32 (.f32 (.f32 cosTheta_i sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) sinTheta_i (.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))) v)) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) (* v v)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (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)) 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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (+ (* (* 1/2 cosTheta_i) cosTheta_O) (/ (+ (* (* -1/2 (* (* sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O) (/ (* (+ (* -1/6 (* cosTheta_O cosTheta_i)) (* (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) 1/2)) 1/2) v)) v)) (/.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_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v)) (*.f32 v v))) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (fma.f32 #s(approx (/ (* 1/2 (+ (* sinTheta_i sinTheta_O) (/ (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) v))) v) (.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_i) v) (fma.f32 (/.f32 #s(literal 1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))

Outputs

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

Calls

8 calls:

35.0ms	(*.f32 cosTheta_i cosTheta_O)
18.0ms	v
18.0ms	cosTheta_i
17.0ms	cosTheta_O
16.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
63.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
63.5%	1	`cosTheta_i`
63.5%	1	`cosTheta_O`
63.5%	1	`sinTheta_i`
63.5%	1	`sinTheta_O`
63.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes80.0ms (0.5%)

Memory

29.8MiB live, 121.6MiB allocated

Counts

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

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

Calls

8 calls:

28.0ms	sinTheta_i
9.0ms	(*.f32 cosTheta_i cosTheta_O)
7.0ms	sinTheta_O
7.0ms	cosTheta_O
7.0ms	v

Results

Accuracy	Segments	Branch
57.6%	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))`
57.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.6%	1	`cosTheta_i`
57.6%	1	`cosTheta_O`
57.6%	1	`sinTheta_i`
57.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.6%	1	`v`
57.6%	1	`sinTheta_O`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes31.0ms (0.2%)

Memory

9.0MiB live, 59.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	v
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
57.5%	1	`sinTheta_O`
57.5%	1	`sinTheta_i`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`cosTheta_O`
57.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.5%	1	`v`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`cosTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes20.0ms (0.1%)

Memory

6.8MiB live, 50.7MiB allocated

Counts

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

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

Calls

8 calls:

5.0ms	cosTheta_i
2.0ms	sinTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_O
2.0ms	v

Results

Accuracy	Segments	Branch
57.5%	1	`sinTheta_O`
57.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.5%	1	`sinTheta_i`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`cosTheta_O`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`cosTheta_i`
57.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes10.0ms (0.1%)

Memory

-19.5MiB live, 27.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	v
1.0ms	sinTheta_O
1.0ms	cosTheta_O
1.0ms	(*.f32 sinTheta_i 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))

Results

Accuracy	Segments	Branch
57.5%	1	`sinTheta_O`
57.5%	1	`sinTheta_i`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`cosTheta_O`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
57.5%	1	`v`
57.5%	1	`cosTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify63.0ms (0.4%)

Memory

12.2MiB live, 58.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	414
1	200	414
2	453	411
3	1648	411
4	7840	411

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.8s (11.3%)

Memory

-22.1MiB live, 1 268.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280
0	79	355
0	119	355
1	381	347
2	2133	347
0	8135	339
0	50	255
0	79	255
1	208	255
2	994	213
0	8383	213
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68
0	940	5463
1	3470	5186
0	8057	4953
0	75	435
0	129	435
1	372	435
2	2090	423
0	8181	423
0	1066	6134
1	3982	6049
0	8266	5745
0	648	3453
1	2421	3307
0	8434	3160

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

Compiler

Compiled 1 176 to 678 computations (42.3% saved)

preprocess298.0ms (1.9%)

Memory

38.3MiB live, 375.4MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_O)

Compiler

Compiled 1 400 to 728 computations (48% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.1s (7.3%)

sample2.9s (18.9%)

explain224.0ms (1.4%)

preprocess306.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify133.0ms (0.9%)

localize79.0ms (0.5%)

series81.0ms (0.5%)

simplify239.0ms (1.5%)

rewrite210.0ms (1.4%)

eval121.0ms (0.8%)

prune49.0ms (0.3%)

simplify113.0ms (0.7%)

localize194.0ms (1.2%)

series342.0ms (2.2%)

simplify716.0ms (4.6%)

rewrite176.0ms (1.1%)

eval324.0ms (2.1%)

prune126.0ms (0.8%)

simplify186.0ms (1.2%)

localize255.0ms (1.6%)

series484.0ms (3.1%)

simplify189.0ms (1.2%)

rewrite233.0ms (1.5%)

eval134.0ms (0.9%)

prune92.0ms (0.6%)

simplify96.0ms (0.6%)

localize196.0ms (1.3%)

series261.0ms (1.7%)

simplify165.0ms (1.1%)

rewrite220.0ms (1.4%)

eval82.0ms (0.5%)

prune106.0ms (0.7%)

regimes316.0ms (2%)

regimes310.0ms (2%)

regimes420.0ms (2.7%)

regimes373.0ms (2.4%)

regimes393.0ms (2.5%)

regimes185.0ms (1.2%)

regimes192.0ms (1.2%)

regimes330.0ms (2.1%)

regimes212.0ms (1.4%)

regimes165.0ms (1.1%)

regimes150.0ms (1%)

regimes80.0ms (0.5%)

regimes31.0ms (0.2%)

regimes20.0ms (0.1%)

regimes10.0ms (0.1%)

simplify63.0ms (0.4%)

soundness1.8s (11.3%)

preprocess298.0ms (1.9%)

end0.0ms (0%)

Profiling