Metrics for HairBSDF, Mp, upper

start0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated

analyze1.2s (7.7%)

Memory

18.0MiB live, 4 141.3MiB 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)

sample2.7s (17.3%)

Memory

143.0MiB live, 5 256.4MiB allocated

Samples

2.0s

8 256×

valid

Precisions

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

ival-<=: 355.0ms (22.1% of total)

ival-mult: 341.0ms (21.2% of total)

const: 315.0ms (19.6% of total)

ival-div: 287.0ms (17.8% of total)

ival-exp: 89.0ms (5.5% of total)

ival-sinh: 73.0ms (4.5% of total)

ival-and: 60.0ms (3.7% of total)

ival-neg: 40.0ms (2.5% of total)

ival-<: 24.0ms (1.5% of total)

exact: 19.0ms (1.2% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain359.0ms (2.3%)

Memory

-36.4MiB live, 538.4MiB 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

167.0ms

512×

valid

Compiler

Compiled 210 to 61 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 54.0ms (55.9% of total)

ival-mult: 21.0ms (21.7% of total)

ival-sinh: 12.0ms (12.4% of total)

ival-exp: 5.0ms (5.2% of total)

ival-neg: 3.0ms (3.1% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

preprocess216.0ms (1.4%)

Memory

29.4MiB live, 261.4MiB 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: 0.3MiB live, 0.3MiB 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)

simplify156.0ms (1%)

Memory

-7.5MiB live, 187.8MiB 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)

localize80.0ms (0.5%)

Memory

-1.3MiB live, 102.2MiB 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

55.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 30.0ms (68.9% of total)

ival-div: 7.0ms (16.1% of total)

ival-exp: 2.0ms (4.6% of total)

ival-sinh: 2.0ms (4.6% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series94.0ms (0.6%)

Memory

-13.9MiB live, 126.2MiB 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
30.0ms	cosTheta_i	@	inf	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
9.0ms	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))
8.0ms	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))
6.0ms	cosTheta_i	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))
6.0ms	sinTheta_O	@	0	((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (* (* (sinh (/ 1 v)) 2) v))

simplify217.0ms (1.4%)

Memory

18.1MiB live, 295.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

52 → 52

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))

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

rewrite222.0ms (1.4%)

Memory

-13.3MiB live, 445.1MiB 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: -2.4MiB live, 188.1MiB allocated
Compiler: Compiled 21 342 to 2 237 computations (89.5% saved)

prune46.0ms (0.3%)

Memory

-12.7MiB live, 127.4MiB 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)))))
	93.4%	(/.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))
	52.0%	#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(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)

simplify158.0ms (1%)

Memory

27.0MiB live, 176.7MiB 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)

localize169.0ms (1.1%)

Memory

-7.3MiB live, 327.8MiB 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

91.0ms

256×

valid

Compiler

Compiled 431 to 43 computations (90% saved)

Precisions

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

ival-mult: 31.0ms (47.3% of total)

ival-div: 20.0ms (30.5% of total)

ival-pow: 6.0ms (9.1% of total)

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

ival-neg: 2.0ms (3% of total)

ival-sinh: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series448.0ms (2.8%)

Memory

-15.7MiB live, 557.5MiB 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
133.0ms	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))
54.0ms	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))
51.0ms	cosTheta_i	@	-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))
38.0ms	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))
31.0ms	cosTheta_i	@	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))

simplify245.0ms (1.6%)

Memory

39.2MiB live, 220.7MiB 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))

rewrite391.0ms (2.5%)

Memory

-17.0MiB live, 373.0MiB 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))

eval220.0ms (1.4%)

Memory: 27.8MiB live, 483.2MiB allocated
Compiler: Compiled 48 821 to 4 319 computations (91.2% saved)

prune647.0ms (4.1%)

Memory

-258.1MiB live, 279.7MiB 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)))))
	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 (.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)))))
	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)))))))
	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))
	52.0%	#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(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 3 180 to 2 432 computations (23.5% saved)

simplify130.0ms (0.8%)

Memory

9.4MiB live, 220.4MiB 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)

localize243.0ms (1.5%)

Memory

-3.5MiB live, 332.8MiB 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

155.0ms

256×

valid

Compiler

Compiled 618 to 69 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 45.0ms (36.8% of total)

ival-div: 28.0ms (22.9% of total)

ival-pow: 26.0ms (21.2% of total)

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

ival-sinh: 5.0ms (4.1% of total)

const: 4.0ms (3.3% of total)

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

ival-neg: 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)

series435.0ms (2.8%)

Memory

35.9MiB live, 605.8MiB 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
83.0ms	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))))
77.0ms	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))))
44.0ms	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))))
40.0ms	cosTheta_O	@	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))))
29.0ms	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))))

simplify236.0ms (1.5%)

Memory

12.3MiB live, 198.2MiB 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))

rewrite216.0ms (1.4%)

Memory

-12.7MiB live, 300.8MiB 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)))

eval130.0ms (0.8%)

Memory: 0.4MiB live, 240.2MiB allocated
Compiler: Compiled 58 010 to 5 080 computations (91.2% saved)

prune90.0ms (0.6%)

Memory

-1.8MiB live, 188.7MiB allocated

Pruning

69 alts after pruning (66 fresh and 3 done)

	Pruned	Kept	Total
New	1 067	36	1 103
Fresh	13	30	43
Picked	3	2	5
Done	0	1	1
Total	1 083	69	1 152

Accuracy

99.9%

Counts

1 152 → 69

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)))))))
	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 #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))
	52.1%	#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(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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) 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) (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)))) 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))
	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 (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))))
	52.0%	#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 5 972 to 4 265 computations (28.6% saved)

simplify94.0ms (0.6%)

Memory

35.7MiB live, 125.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)) (exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))))
cost-diff	1	(-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32)))
cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff	0	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff	0	(.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
cost-diff	0	(/.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))
cost-diff	0	#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)))
cost-diff	0	(.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))
cost-diff	1	(+.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))
cost-diff	2	(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)))
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	76	547
0	122	547
1	263	540
2	879	538
3	4778	534
0	8103	530

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

localize205.0ms (1.3%)

Memory

0.3MiB live, 281.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy	0.30697886953663195	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	0.49425517583195644	(exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.16948532170149253	#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
accuracy	0.21484375	(/.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))
accuracy	0.27734375	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy	0.7932054996999115	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy	0.37190518247911103	(+.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))
accuracy	0.44369125976844204	(/.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))
accuracy	25.38373982602669	#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)))
accuracy	29.868975552573737	(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)))
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

161.0ms

256×

valid

Compiler

Compiled 483 to 69 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 62.0ms (46.9% of total)

ival-div: 30.0ms (22.7% of total)

ival-pow: 11.0ms (8.3% of total)

ival-exp: 10.0ms (7.6% of total)

ival-neg: 5.0ms (3.8% of total)

const: 4.0ms (3% of total)

ival-log: 3.0ms (2.3% of total)

ival-add: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

ival-sinh: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series397.0ms (2.5%)

Memory

28.8MiB live, 540.5MiB allocated

Counts

24 → 185

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

Calls

15 calls:

Time	Variable		Point	Expression
73.0ms	sinTheta_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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i) (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))) (/ (* sinTheta_i sinTheta_O) v))
50.0ms	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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i) (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))) (/ (* sinTheta_i sinTheta_O) v))
39.0ms	sinTheta_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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i) (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))) (/ (* sinTheta_i sinTheta_O) v))
36.0ms	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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i) (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))) (/ (* sinTheta_i sinTheta_O) v))
29.0ms	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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) cosTheta_i) (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2)) (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/ cosTheta_i (sinh (/ 1 v))) (sinh (/ 1 v)) (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) (* (* (sinh (/ 1 v)) 2) v) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))) (/ (* sinTheta_i sinTheta_O) v))

simplify234.0ms (1.5%)

Memory

12.2MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1088	5675
1	4010	5459
0	8247	5209

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 185

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

rewrite263.0ms (1.7%)

Memory

12.4MiB live, 191.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	385
0	122	385
1	380	369
2	2244	361
0	8774	357

Stop Event

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

Counts

24 → 595

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 (.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)))
(+.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 #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))
#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 #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 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32)))
(.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 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (*.f32 v v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(exp.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 (log.f32 v) #s(literal 2 binary32))))
(/.f32 (*.f32 sinTheta_i sinTheta_O) 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 #s(literal 2 binary32) v) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i 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))))
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(.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (.f32 #s(literal 2 binary32) v)) cosTheta_O)
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(/.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) cosTheta_O) (.f32 #s(literal 2 binary32) v))
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(/.f32 (neg.f32 (neg.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)))) v)
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(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 2 binary32)) v)
(/.f32 (neg.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_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) 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 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
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(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
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(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
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(-.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)) (/.f32 (/.f32 #s(literal 1/36 binary32) (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/2 binary32) #s(literal 1/6 binary32))) (.f32 v v)))
(-.f32 (/.f32 (/.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 6 binary32)) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32)))) (.f32 v v)) (/.f32 (/.f32 #s(literal 1/216 binary32) (fma.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32)))) (.f32 v v)))
(-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(neg.f32 (/.f32 (-.f32 (.f32 (pow.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32)) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 (neg.f32 v) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))
(.f32 (.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32))) (fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (-.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))))
(/.f32 (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) v))) #s(literal -2 binary32))
(/.f32 (neg.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(/.f32 (fma.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) #s(literal 4 binary32))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(+.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (exp.f32 (.f32 #s(literal -2 binary32) (log.f32 v))))
(.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32)) (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v))))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (.f32 #s(literal 2 binary32) (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v)))))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (.f32 #s(literal 2 binary32) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v)))))))))
(/.f32 (neg.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v))))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v))))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v))))))) #s(literal 4 binary32))
(/.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (fma.f32 (log.f32 v) #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (/.f32 (pow.f32 (.f32 (log.f32 v) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 (log.f32 v) #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) (fma.f32 (.f32 (log.f32 v) #s(literal 2 binary32)) (fma.f32 (log.f32 v) #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (.f32 (log.f32 v) #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (.f32 (log.f32 v) #s(literal 2 binary32)) (fma.f32 (log.f32 v) #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v))))))))
(/.f32 (neg.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 (neg.f32 v) v))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (exp.f32 (*.f32 (neg.f32 (neg.f32 (log.f32 v))) #s(literal 2 binary32))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) (*.f32 v v))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v))))))
(-.f32 (/.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))))) (/.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (exp.f32 (neg.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))))))
(+.f32 (/.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))))))) (/.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) #s(literal 2 binary32)) (.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))))))))
(+.f32 (/.f32 (cosh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v)) (/.f32 (sinh.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v)))
(+.f32 (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))))
(+.f32 (cosh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))) (sinh.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (.f32 #s(literal -2 binary32) (log.f32 v)))))
(exp.f32 (fma.f32 (/.f32 sinTheta_O v) sinTheta_i (*.f32 #s(literal -2 binary32) (log.f32 v))))
(log.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (fabs.f32 (/.f32 sinTheta_O v)) sinTheta_i)
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_O (fabs.f32 (/.f32 sinTheta_i v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (fabs.f32 (/.f32 sinTheta_O v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(sqrt.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) (neg.f32 v))
(/.f32 (fabs.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i))) v)
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) v)
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(fabs.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(fabs.f32 (*.f32 (/.f32 sinTheta_O (neg.f32 v)) sinTheta_i))
(neg.f32 (*.f32 (/.f32 sinTheta_O (neg.f32 v)) sinTheta_i))

eval164.0ms (1%)

Memory: -13.0MiB live, 173.5MiB allocated
Compiler: Compiled 40 725 to 4 238 computations (89.6% saved)

prune192.0ms (1.2%)

Memory

1.1MiB live, 198.2MiB allocated

Pruning

84 alts after pruning (81 fresh and 3 done)

	Pruned	Kept	Total
New	791	30	821
Fresh	10	51	61
Picked	4	1	5
Done	1	2	3
Total	806	84	890

Accuracy

99.9%

Counts

890 → 84

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
	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))))
	93.3%	(/.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)))))
	98.9%	(/.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) (.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) 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))
	98.5%	(/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (.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))
	98.6%	(/.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))
	44.2%	(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
	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))
	98.2%	(.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))
	98.7%	(.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))
	98.6%	(.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))
	98.4%	(.f32 (/.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) 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))))
	98.5%	(.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))
	98.5%	(.f32 (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	98.2%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
	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_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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_O v) sinTheta_i))) #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))) (+.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 sinTheta_O (fabs.f32 (/.f32 sinTheta_i v))))) #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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) 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)) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 binary32) (.f32 v v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	28.8%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) sinTheta_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))) #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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
	28.8%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	29.6%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i 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 1/2 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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))
	29.0%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.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)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	28.9%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O 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_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	28.6%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	28.8%	(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	57.5%	(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) (/.f32 cosTheta_i v))
	52.0%	(.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) (+.f32 cosTheta_O (/.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 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) (/.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))
	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)))))))
	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 #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 #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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) 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))
	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 (/.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)))
	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 (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))))
	52.0%	#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))))
	57.4%	#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)))
	57.5%	#s(approx (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (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 (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))
	98.5%	#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) cosTheta_i) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.5%	#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (.f32 (.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))

Compiler

Compiled 9 712 to 3 705 computations (61.9% saved)

regimes640.0ms (4.1%)

Memory

-24.1MiB live, 354.0MiB allocated

Counts

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

108.0ms	cosTheta_O
91.0ms	(/.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))
88.0ms	(*.f32 sinTheta_i sinTheta_O)
88.0ms	(*.f32 cosTheta_i cosTheta_O)
76.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes291.0ms (1.8%)

Memory

23.9MiB live, 456.6MiB allocated

Counts

119 → 1

Calls

Call 1

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

Calls

8 calls:

42.0ms	v
40.0ms	cosTheta_O
39.0ms	(*.f32 sinTheta_i sinTheta_O)
35.0ms	sinTheta_i
34.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes299.0ms (1.9%)

Memory

-6.3MiB live, 431.0MiB allocated

Counts

99 → 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 (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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 (/.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))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #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_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 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 (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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))) #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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i 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 1/2 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 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))) #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 #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) (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)))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.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 (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) 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 #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 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))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.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))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) cosTheta_i) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.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 (/.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))

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:

54.0ms	(/.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))
46.0ms	cosTheta_i
44.0ms	(*.f32 sinTheta_i sinTheta_O)
32.0ms	cosTheta_O
31.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes238.0ms (1.5%)

Memory

7.7MiB live, 392.5MiB allocated

Counts

97 → 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 (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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 (/.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))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #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))
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#s(approx (* (/ (* (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 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 (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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))) #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))) (-.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))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 (.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)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) 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)) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_i))) 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))) (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_O v) sinTheta_i))) #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 (/.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 #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 sinTheta_O (fabs.f32 (/.f32 sinTheta_i v))))) #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))))
#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)))
(.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) (+.f32 cosTheta_O (/.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 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(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))
#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 (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 #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)) #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 (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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) sinTheta_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (.f32 (.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O 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_i))) (neg.f32 sinTheta_i))) (.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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.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)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i 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 1/2 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 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))) #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 #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) (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)))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.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 (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) 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 #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 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))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) (-.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))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) cosTheta_i) cosTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)) v) (.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.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 (/.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:

38.0ms	cosTheta_i
31.0ms	v
28.0ms	cosTheta_O
28.0ms	sinTheta_i
27.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes204.0ms (1.3%)

Memory

7.0MiB live, 286.2MiB allocated

Counts

71 → 1

Calls

Call 1

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

41.0ms	v
29.0ms	(*.f32 sinTheta_i sinTheta_O)
27.0ms	cosTheta_i
23.0ms	sinTheta_O
22.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`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	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes171.0ms (1.1%)

Memory

4.3MiB live, 343.2MiB 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)))
#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 (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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 (/.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))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #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_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 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 (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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))) #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))) (-.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))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 #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) (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)))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.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 (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) 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))

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:

32.0ms	(*.f32 cosTheta_i cosTheta_O)
22.0ms	v
20.0ms	(*.f32 sinTheta_i sinTheta_O)
20.0ms	sinTheta_i
19.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_O`
98.6%	1	`cosTheta_i`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
98.6%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes199.0ms (1.3%)

Memory

-39.7MiB live, 277.8MiB allocated

Counts

65 → 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 (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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 (/.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))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #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_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 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 (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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))) #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))) (-.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))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 (.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)))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) 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)) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_i))) 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))) (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 sinTheta_O v) sinTheta_i))) #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 (/.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 #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 sinTheta_O (fabs.f32 (/.f32 sinTheta_i v))))) #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))))
#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)))
(.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) (+.f32 cosTheta_O (/.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 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(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))
#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 (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 #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)) #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 (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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) sinTheta_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (.f32 (.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O 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_i))) (neg.f32 sinTheta_i))) (.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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.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)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i 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 1/2 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 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))) #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 #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) (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)))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.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 (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_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 #s(literal 1 binary32) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Calls

8 calls:

51.0ms	(*.f32 cosTheta_i cosTheta_O)
33.0ms	v
21.0ms	sinTheta_i
20.0ms	cosTheta_i
20.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes174.0ms (1.1%)

Memory

-19.1MiB live, 265.8MiB allocated

Counts

63 → 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 (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 binary32) (.f32 v v))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
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#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)) #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 (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))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (.f32 (.f32 v v) sinTheta_i))) (neg.f32 sinTheta_i))) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/2 binary32))) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
#s(approx (* (/ cosTheta_i (sinh (/ 1 v))) (* (/ cosTheta_O 2) (exp (- (/ (* sinTheta_i sinTheta_O) v) (* (log v) 2))))) (.f32 (.f32 (.f32 (.f32 (pow.f32 v #s(literal -2 binary32)) v) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 (/.f32 sinTheta_O 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_i))) (neg.f32 sinTheta_i))) (.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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.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)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_i 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 1/2 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 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (-.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 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))) #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 #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) (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)))) v))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.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 (/.f32 cosTheta_O v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))

Calls

8 calls:

33.0ms	sinTheta_i
29.0ms	v
23.0ms	cosTheta_O
18.0ms	(*.f32 cosTheta_i cosTheta_O)
17.0ms	(/.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
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`
98.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes275.0ms (1.7%)

Memory

37.3MiB live, 353.7MiB allocated

Counts

60 → 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 (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (/.f32 #s(literal -1/12 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))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 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 (/.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))
(.f32 #s(approx (/ ( (/ (pow (exp sinTheta_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (fma.f32 (.f32 cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #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_i) (/ sinTheta_O (neg v))) (* 2 v)) cosTheta_O) (sinh (/ 1 v))) (/ cosTheta_i v)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 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 (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 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O sinTheta_O))) v) #s(literal 1/4 binary32))) v)) v))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) (+.f32 #s(approx (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))) #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))) (-.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))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1 binary32) #s(literal 1/2 binary32))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) (* 2 v)) (sinh (/ 1 v))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 (-.f32 (.f32 (.f32 (.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)))))
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(/.f32 (.f32 #s(approx (exp (neg (/ ( sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (/.f32 cosTheta_O v) cosTheta_i)) #s(approx ( (* (sinh (/ 1 v)) 2) v) (fma.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal -2 binary32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (/ (pow (exp sinTheta_O) (/ (neg sinTheta_i) v)) ( 2 v)) (sinh (/ 1 v))) #s(approx (+ (+ (* (/ (- (* (* 1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_O) (/.f32 sinTheta_i v) (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)))) (/.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_O sinTheta_O)) (* sinTheta_i sinTheta_i)) 1/6) (* v v)) 1/2) (* -1/2 (/ (* sinTheta_i sinTheta_O) v))) 1/2) (.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) sinTheta_i) (/.f32 sinTheta_O v) (fma.f32 (/.f32 #s(literal 1/4 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (/.f32 #s(literal 1/12 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))))

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:

58.0ms	(/.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))
56.0ms	cosTheta_O
53.0ms	(*.f32 sinTheta_i sinTheta_O)
24.0ms	sinTheta_O
22.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_O`
98.5%	1	`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	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`cosTheta_i`
98.5%	1	`sinTheta_i`
98.5%	1	`v`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes355.0ms (2.3%)

Memory

61.1MiB live, 495.1MiB allocated

Counts

58 → 1

Calls

Call 1

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

Calls

8 calls:

108.0ms	(*.f32 cosTheta_i cosTheta_O)
60.0ms	(/.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))
36.0ms	cosTheta_O
32.0ms	sinTheta_O
31.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
57.5%	1	`cosTheta_i`
57.5%	1	`cosTheta_O`
57.5%	1	`sinTheta_i`
57.5%	1	`sinTheta_O`
57.5%	1	`v`
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	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes52.0ms (0.3%)

Memory

-17.7MiB live, 83.0MiB 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:

17.0ms	sinTheta_i
6.0ms	v
6.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
57.5%	1	`sinTheta_O`
57.5%	1	`sinTheta_i`
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	`cosTheta_O`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`cosTheta_i`
57.5%	1	`v`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes37.0ms (0.2%)

Memory

6.7MiB live, 52.6MiB 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:

19.0ms	(/.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))
6.0ms	cosTheta_i
5.0ms	(*.f32 cosTheta_i cosTheta_O)
1.0ms	v
1.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
57.5%	1	`sinTheta_O`
57.5%	1	`sinTheta_i`
57.5%	1	`cosTheta_O`
57.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.5%	1	`v`
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	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`cosTheta_i`

Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify121.0ms (0.8%)

Memory

-14.0MiB live, 131.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	319
1	185	319
2	410	316
3	1478	316
4	7571	316

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

soundness1.6s (10.1%)

Memory

38.1MiB live, 1 356.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	385
0	122	385
1	380	369
2	2244	361
0	8774	357
0	50	255
0	79	255
1	208	255
2	994	213
0	8383	213
0	1066	6134
1	3982	6049
0	8266	5745
0	19	70
0	31	70
1	82	70
2	358	68
3	3127	68
0	9110	68
0	1088	5675
1	4010	5459
0	8247	5209
0	75	435
0	129	435
1	372	435
2	2090	423
0	8181	423
0	334	1483
1	1210	1422
2	5141	1330
0	8508	1280
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 1 016 to 587 computations (42.2% saved)

preprocess363.0ms (2.3%)

Memory

-20.3MiB live, 578.4MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_O)

Compiler

Compiled 1 210 to 708 computations (41.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.2s (7.7%)

sample2.7s (17.3%)

explain359.0ms (2.3%)

preprocess216.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify156.0ms (1%)

localize80.0ms (0.5%)

series94.0ms (0.6%)

simplify217.0ms (1.4%)

rewrite222.0ms (1.4%)

eval121.0ms (0.8%)

prune46.0ms (0.3%)

simplify158.0ms (1%)

localize169.0ms (1.1%)

series448.0ms (2.8%)

simplify245.0ms (1.6%)

rewrite391.0ms (2.5%)

eval220.0ms (1.4%)

prune647.0ms (4.1%)

simplify130.0ms (0.8%)

localize243.0ms (1.5%)

series435.0ms (2.8%)

simplify236.0ms (1.5%)

rewrite216.0ms (1.4%)

eval130.0ms (0.8%)

prune90.0ms (0.6%)

simplify94.0ms (0.6%)

localize205.0ms (1.3%)

series397.0ms (2.5%)

simplify234.0ms (1.5%)

rewrite263.0ms (1.7%)

eval164.0ms (1%)

prune192.0ms (1.2%)

regimes640.0ms (4.1%)

regimes291.0ms (1.8%)

regimes299.0ms (1.9%)

regimes238.0ms (1.5%)

regimes204.0ms (1.3%)

regimes171.0ms (1.1%)

regimes199.0ms (1.3%)

regimes174.0ms (1.1%)

regimes275.0ms (1.7%)

regimes355.0ms (2.3%)

regimes52.0ms (0.3%)

regimes37.0ms (0.2%)

simplify121.0ms (0.8%)

soundness1.6s (10.1%)

preprocess363.0ms (2.3%)

end0.0ms (0%)

Profiling