Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

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

analyze633.0ms (6.2%)

Memory

-7.0MiB live, 280.7MiB allocated; 190ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3%	97%	0%	0%	0%	0
0%	0%	3%	97%	0%	0%	0%	1
0%	0%	3%	97%	0%	0%	0%	2
0%	0%	3%	97%	0%	0%	0%	3
0%	0%	3%	97%	0%	0%	0%	4
0%	0%	3%	97%	0%	0%	0%	5
0%	0%	1.5%	97%	0%	1.5%	0%	6
0%	0%	1.5%	97%	0%	1.5%	0%	7
0%	0%	1.5%	97%	0%	1.5%	0%	8
0%	0%	1.5%	97%	0%	1.5%	0%	9
0%	0%	1.5%	97%	0%	1.5%	0%	10
0%	0%	1.5%	97%	0%	1.5%	0%	11
0%	0%	1.5%	97%	0%	1.5%	0%	12

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.9s (28.9%)

Memory

30.0MiB live, 2 819.3MiB allocated; 1.8s collecting garbage

Samples

1.8s	8 256×	0	valid
26.0ms	143×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 346.0ms (24.7% of total)

ival-div: 240.0ms (17.1% of total)

ival-<=: 234.0ms (16.7% of total)

ival-mult: 152.0ms (10.8% of total)

ival-log: 99.0ms (7.1% of total)

ival-exp: 94.0ms (6.7% of total)

ival-add: 88.0ms (6.3% of total)

ival-sub: 77.0ms (5.5% of total)

ival-and: 53.0ms (3.8% of total)

exact: 15.0ms (1.1% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain274.0ms (2.7%)

Memory

-36.9MiB live, 270.3MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
90	1	(-1.9179475671879426e-37 -8.965595847958921e-30 1.7799973300869354e-11 -1.4244848894442133e-19 1.498367704522073e-21)	33	(2.564479245847906e-6 6.103118922185963e-37 -7.961354353623139e-25 -1.9657894756441863e-10 2.8681483229096035e-32)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
86	3	(-1.4659112827383892e-36 1.3895560257992656e-8 7.065048744218279e-26 -3.2197908796667067e-36 7.323338997608804e-17)	35	(-3.136349890193145e-14 -2.1695546750782074e-32 -4.720865365293037e-10 6.0457191585186777e-33 1.3448566579011907e-27)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	8	(0.0014076236402615905 1.3897198414269951e-6 -5.0977763106304983e-23 3.302399518667447e-14 0.006247418932616711)	1	(-2.2731841403437134e-18 5.445712240523259e-13 -1.3267948752575721e-20 -8.999407427221721e-17 0.012863323092460632)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
1	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	8	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	77
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	8	2
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	8	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	74
`log.f32`	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`	oflow-rescue	1	0
↳	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	1
-	24	230

Precision

0.04

Recall

0.5

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	0
-	24	1	229

Precision?

0.07407407407407407

Recall?

1.0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

103.0ms

512×

valid

Compiler

Compiled 295 to 67 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

const: 27.0ms (34.1% of total)

ival-div: 23.0ms (29% of total)

ival-mult: 9.0ms (11.4% of total)

ival-log: 6.0ms (7.6% of total)

ival-sub: 5.0ms (6.3% of total)

ival-exp: 4.0ms (5% of total)

ival-add: 4.0ms (5% of total)

exact: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess207.0ms (2%)

Memory

14.8MiB live, 193.5MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	481
1	440	419
2	1130	402
3	3600	400
0	21	25
0	34	23
1	64	20
2	130	20
3	346	20
4	1416	19
0	8303	17

Stop Event

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

Calls

Call 1

Inputs

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Outputs

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Status

Accuracy

Program

▶

99.5%

(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Compiler

Compiled 25 to 21 computations (16% saved)

simplify188.0ms (1.8%)

Memory

7.3MiB live, 152.8MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	2	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
cost-diff	2	(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	34	125
1	64	116
2	130	116
3	346	115
4	1416	111
0	8303	104

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

Outputs
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) 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
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 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)

localize78.0ms (0.8%)

Memory

-15.2MiB live, 75.8MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	0.13252355060713106	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	6.965006295295642	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	7.57872993544041	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

66.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

const: 30.0ms (55.3% of total)

ival-div: 7.0ms (12.9% of total)

ival-add: 6.0ms (11.1% of total)

ival-mult: 4.0ms (7.4% of total)

ival-log: 3.0ms (5.5% of total)

ival-exp: 2.0ms (3.7% of total)

ival-sub: 2.0ms (3.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory

-3.3MiB live, 97.9MiB allocated; 15ms collecting garbage

Counts

7 → 56

Calls

Call 1

Inputs
(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ 1/2 v)
(+ (log 1/2) (* -1 (log v)))
6931/10000
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+ (log 1/2) (log (/ 1 v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (log -1/2) (log (/ -1 v)))

Calls

15 calls:

Time	Variable		Point	Expression
29.0ms	v	@	0	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (log (/ 1 (* 2 v))))
25.0ms	v	@	-inf	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (log (/ 1 (* 2 v))))
8.0ms	v	@	inf	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (log (/ 1 (* 2 v))))
3.0ms	sinTheta_O	@	0	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (log (/ 1 (* 2 v))))
2.0ms	cosTheta_i	@	0	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (log (/ 1 (* 2 v))))

simplify139.0ms (1.4%)

Memory

46.4MiB live, 175.2MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	1633
1	996	1580
2	4269	1444
0	8288	1365

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

Calls

Call 1

Inputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ 1/2 v)
(+ (log 1/2) (* -1 (log v)))
6931/10000
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+ (log 1/2) (log (/ 1 v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (log -1/2) (log (/ -1 v)))

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 cosTheta_i v)) cosTheta_O (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_i) cosTheta_O) v) cosTheta_i)
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_O) cosTheta_i) v) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
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(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(.f32 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 cosTheta_O v)) (/.f32 sinTheta_O v)) sinTheta_i)
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) sinTheta_O) v))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(.f32 (-.f32 (/.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 sinTheta_i v)) sinTheta_O)
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(.f32 (-.f32 (.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v)) (/.f32 sinTheta_i v)) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
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(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
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(/ 1/2 v)
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(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
6931/10000
#s(literal 6931/10000 binary32)
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(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v)))
(+ (log 1/2) (log (/ 1 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(fma.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) v) (.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(fma.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 (.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32)) v) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))))) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 3 binary32)) v) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i (-.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 2 binary32))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))) v)) v))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))

rewrite212.0ms (2.1%)

Memory

-25.2MiB live, 178.6MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	34	62
1	137	57
2	1213	57
0	8896	55

Stop Event

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

Counts

7 → 210

Calls

Call 1

Inputs
(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))

Outputs
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (-.f32 (.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)))) (neg.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 (-.f32 #s(literal 48038761/100000000 binary32) (.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (pow.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (.f32 v (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (.f32 v (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v)) (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v)) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (.f32 (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (.f32 (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) (-.f32 (pow.f32 v #s(literal -3 binary32)) #s(literal 332956652491/1000000000000 binary32)))) (.f32 (neg.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i (.f32 cosTheta_O cosTheta_i)) v) (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)))) (+.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(/.f32 (-.f32 (.f32 (neg.f32 (-.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 (neg.f32 (.f32 v v)) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (.f32 (neg.f32 (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
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(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(neg.f32 (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))

eval69.0ms (0.7%)

Memory: -17.0MiB live, 87.0MiB allocated; 21ms collecting garbage
Compiler: Compiled 11 199 to 1 561 computations (86.1% saved)

prune6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	254	5	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	5	260

Accuracy

99.9%

Counts

260 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
▶	84.2%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	99.5%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
▶	99.5%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))

Compiler

Compiled 292 to 246 computations (15.8% saved)

simplify132.0ms (1.3%)

Memory

-21.3MiB live, 165.3MiB allocated; 49ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff	0	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
cost-diff	1	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
cost-diff	4	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
cost-diff	0	(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
cost-diff	1	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
cost-diff	0	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))
cost-diff	0	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
cost-diff	2	(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	464
0	86	416
1	181	412
2	419	412
3	1353	412
0	8216	412

Stop Event

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

Calls

Call 1

Inputs
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
v
#s(literal 0 binary32)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
v
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

Outputs
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
v
#s(literal 0 binary32)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(.f32 (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (/.f32 #s(literal 1/2 binary32) v))
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_O
sinTheta_i
#s(literal 1 binary32)
v
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

localize135.0ms (1.3%)

Memory

5.7MiB live, 194.9MiB allocated; 42ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
accuracy	1.8451172251833583	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	1.862964341297949	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
accuracy	3.277617471239222	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
accuracy	0.015625	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.04201127930532605	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
accuracy	0.0546875	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
accuracy	0.05859375	(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
accuracy	0.0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
accuracy	0.017419654760301943	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
accuracy	0.028007519536884032	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
accuracy	0.0546875	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.33984375	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	27.51176691349075	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy	0.0	(*.f32 #s(literal 2 binary32) v)
accuracy	0.017419654760301943	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
accuracy	0.028007519536884032	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))
accuracy	0.0546875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))

Samples

79.0ms	231×	0	valid
14.0ms	25×	0	exit

Compiler

Compiled 433 to 49 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 21.0ms (29.9% of total)

ival-sub: 12.0ms (17.1% of total)

ival-exp: 11.0ms (15.7% of total)

ival-mult: 9.0ms (12.8% of total)

ival-add: 6.0ms (8.5% of total)

ival-log: 5.0ms (7.1% of total)

const: 4.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series171.0ms (1.7%)

Memory

32.1MiB live, 228.0MiB allocated; 39ms collecting garbage

Counts

23 → 199

Calls

Call 1

Inputs
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
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(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/ 1/2 v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(+ (log 1/2) (* -1 (log v)))
(* 2 v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
(exp 6931/10000)
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))))
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000))))))
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000))))))))))
(exp (+ (log 1/2) (log (/ 1 v))))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))))
(+ (log 1/2) (log (/ 1 v)))
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))

Calls

15 calls:

Time	Variable		Point	Expression
52.0ms	v	@	inf	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* 2 v) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1 (* 2 v))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
35.0ms	v	@	0	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* 2 v) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1 (* 2 v))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
13.0ms	v	@	-inf	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* 2 v) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1 (* 2 v))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
7.0ms	sinTheta_i	@	-inf	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* 2 v) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1 (* 2 v))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
7.0ms	cosTheta_i	@	0	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (* 2 v) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1 (* 2 v))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))

simplify211.0ms (2.1%)

Memory

5.6MiB live, 187.6MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1088	7713
1	3975	7388
0	8983	6943

Stop Event

1×	iter limit
1×	node limit

Counts

199 → 199

Calls

Call 1

Inputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
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6931/10000
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(/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))))
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000))))))
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000))))))))))
(exp (+ (log 1/2) (log (/ 1 v))))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))))
(+ (log 1/2) (log (/ 1 v)))
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)))) cosTheta_i (.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (.f32 cosTheta_O (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (.f32 cosTheta_O cosTheta_O)) v) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 cosTheta_O cosTheta_O)) v) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 (-.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (.f32 v cosTheta_i))) cosTheta_i)
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) v) #s(literal 1/2 binary32))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (.f32 v cosTheta_i))) cosTheta_i)
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (.f32 cosTheta_i cosTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (.f32 cosTheta_i cosTheta_O)) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(.f32 (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (.f32 (/.f32 sinTheta_i cosTheta_i) (/.f32 sinTheta_O v)))) cosTheta_i)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_i)) (/.f32 cosTheta_O v)) cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i)) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)) (.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
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(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v) (.f32 (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v))) cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (/.f32 cosTheta_i (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (.f32 (fma.f32 (.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32) (.f32 (.f32 (/.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/6 binary32))) cosTheta_O)) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (.f32 v cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (.f32 v cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(.f32 (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_i cosTheta_O) (/.f32 sinTheta_O v)))) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(.f32 (neg.f32 cosTheta_O) (neg.f32 (+.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v) (*.f32 (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
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(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
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(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) v) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i (.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v))) sinTheta_i (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
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(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
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(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
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(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
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(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
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(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
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(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
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(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(fma.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v) (.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) v) (.f32 (neg.f32 sinTheta_i) (/.f32 (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(.f32 (-.f32 (+.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) sinTheta_O) (.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 cosTheta_O v))) (/.f32 (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) v)) sinTheta_O)
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
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(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) v) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
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(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(* 1/2 (/ (exp 6931/10000) v))
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(fma.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (.f32 (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1 binary32) (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32))))) (neg.f32 v))) (fma.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))) (.f32 (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) v))) (/.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32))))) v) #s(literal -1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))))
(exp (+ (log -1/2) (log (/ -1 v))))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) v) #s(literal -1/2 binary32) (.f32 (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))) (neg.f32 v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(fma.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32) (/.f32 (neg.f32 (fma.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))) v) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)))) v))) (neg.f32 v)))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal -1 binary32) v))) (log.f32 #s(literal -1/2 binary32))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))

rewrite216.0ms (2.1%)

Memory

9.9MiB live, 200.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	343
0	86	295
1	392	291
2	3215	291
0	8127	291

Stop Event

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

Counts

23 → 469

Calls

Call 1

Inputs
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) v)
(exp.f32 #s(literal 6931/10000 binary32))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)

Outputs
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 0 binary32) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(/.f32 (-.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32))) (neg.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))) (neg.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 (pow.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (neg.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v) (-.f32 (pow.f32 v #s(literal -2 binary32)) #s(literal 48038761/100000000 binary32)))) (.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
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(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)))
(.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(-.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal -2 binary32) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(neg.f32 (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))
(*.f32 (exp.f32 (log.f32 #s(literal 2 binary32))) v)
(*.f32 #s(literal 2 binary32) v)
(*.f32 v (exp.f32 (log.f32 #s(literal 2 binary32))))
(*.f32 v #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 v v) (.f32 v v)) (-.f32 v v))
(/.f32 (+.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (fma.f32 v v (-.f32 (.f32 v v) (.f32 v v))))
(+.f32 (cosh.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (sinh.f32 (log.f32 (.f32 #s(literal 2 binary32) v))))
(+.f32 v v)
(exp.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(-.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)))
(.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(-.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 #s(literal -2 binary32) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1/2 binary32))))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(neg.f32 (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))
(/.f32 (-.f32 (neg.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) v)) v) v)
(/.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 v v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v)))
(/.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) v))) (neg.f32 (*.f32 v v)))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v)) (.f32 (neg.f32 v) (.f32 (neg.f32 sinTheta_i) sinTheta_O))) (*.f32 v v))
(/.f32 (-.f32 (.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) v) (.f32 (neg.f32 v) (.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (.f32 v (.f32 (neg.f32 sinTheta_i) sinTheta_O))) (*.f32 v (neg.f32 v)))
(/.f32 (-.f32 (.f32 (neg.f32 cosTheta_i) cosTheta_O) (.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 v v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))) (.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v))
(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) v))
(/.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v v))
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(-.f32 (/.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v)) (/.f32 (pow.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v)))
(-.f32 (/.f32 (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 3 binary32)) (fma.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v) (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) #s(literal 3 binary32)) (fma.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) v) (pow.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 2 binary32)))))
(-.f32 (/.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) v) (.f32 v v)))
(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 sinTheta_O v) sinTheta_i))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v))
(+.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))) v))
(neg.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (neg.f32 v)))

eval98.0ms (1%)

Memory: -10.4MiB live, 177.2MiB allocated; 30ms collecting garbage
Compiler: Compiled 27 524 to 2 894 computations (89.5% saved)

prune29.0ms (0.3%)

Memory

15.2MiB live, 60.4MiB allocated; 2ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	601	8	609
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	605	9	614

Accuracy

100.0%

Counts

614 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	4.6%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
▶	82.3%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.5%	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.8%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))
▶	99.9%	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
	49.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.9%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))

Compiler

Compiled 676 to 503 computations (25.6% saved)

simplify214.0ms (2.1%)

Memory

-76.0MiB live, 267.0MiB allocated; 108ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))
cost-diff	2	(-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
cost-diff	4	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	9	(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
cost-diff	0	(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))
cost-diff	0	#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))
cost-diff	0	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))))
cost-diff	1	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(*.f32 #s(literal 2 binary32) v)
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) v))
cost-diff	1	(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
cost-diff	1	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
cost-diff	0	(*.f32 #s(literal 2 binary32) v)
cost-diff	0	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
cost-diff	0	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
cost-diff	0	(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	716
0	131	644
1	262	633
2	608	604
3	1989	604
0	8246	604

Stop Event

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

Calls

Call 1

Inputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
v
#s(literal 1/2 binary32)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
#s(literal -1 binary32)
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))
(neg.f32 sinTheta_i)
sinTheta_i
(-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))
(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(/.f32 (neg.f32 sinTheta_O) v)
(neg.f32 sinTheta_O)
sinTheta_O
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
#s(literal 0 binary32)
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
#s(literal 3 binary32)
(+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

Outputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
v
#s(literal 1/2 binary32)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
(exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
(.f32 (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 #s(literal 1/2 binary32) v))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
#s(literal -1 binary32)
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
#s(literal 6931/10000 binary32)
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i)))
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i))
(neg.f32 sinTheta_i)
sinTheta_i
(-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))
(-.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))
(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i))
(/.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(/.f32 (neg.f32 sinTheta_O) v)
(neg.f32 sinTheta_O)
sinTheta_O
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 #s(literal 1/2 binary32) v))
(exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(.f32 (exp.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (.f32 cosTheta_O cosTheta_i)) v)) (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(-.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (.f32 cosTheta_O cosTheta_i)) v) (log.f32 (.f32 #s(literal 2 binary32) v)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
(pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32))
#s(literal 0 binary32)
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
#s(literal 3 binary32)
(+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v)
(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)

localize210.0ms (2.1%)

Memory

5.6MiB live, 278.6MiB allocated; 47ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.6342927735163767	(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))
accuracy	1.8451172251833583	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	1.862964341297949	(exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
accuracy	3.277617471239222	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
accuracy	0.22265625	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i))
accuracy	1.2680035710239324	(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))
accuracy	1.8451172251833583	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	1.862964341297949	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))))
accuracy	0.0	#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
accuracy	0.04201127930532605	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
accuracy	0.0546875	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
accuracy	0.05859375	(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
accuracy	0.0	(*.f32 #s(literal 2 binary32) v)
accuracy	0.017419654760301943	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
accuracy	0.028007519536884032	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
accuracy	28.230723855565458	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
accuracy	0.0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
accuracy	0.021063739932729534	(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
accuracy	0.028007519536884032	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
accuracy	0.0546875	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))

Samples

142.0ms	231×	0	valid
12.0ms	25×	0	exit

Compiler

Compiled 594 to 78 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 26.0ms (23.7% of total)

ival-add: 18.0ms (16.4% of total)

ival-exp: 15.0ms (13.7% of total)

ival-mult: 14.0ms (12.7% of total)

ival-sub: 10.0ms (9.1% of total)

ival-log: 8.0ms (7.3% of total)

ival-pow2: 7.0ms (6.4% of total)

ival-pow: 5.0ms (4.6% of total)

const: 4.0ms (3.6% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series312.0ms (3.1%)

Memory

-0.8MiB live, 333.7MiB allocated; 97ms collecting garbage

Counts

27 → 313

Calls

Call 1

Inputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
(*.f32 #s(literal 2 binary32) v)
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
(+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))

Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(* -1 (/ (log (/ 1/2 v)) sinTheta_i))
(+ (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* -1 (/ (log (* 2 v)) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i)) (/ cosTheta_O v)))
(/ (exp (- (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))
(* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (- (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i))))
(* -1 (* cosTheta_i (+ (/ cosTheta_O (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* -1 (/ (log (* 2 v)) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O))))
(* -1 (* cosTheta_O (+ (/ cosTheta_i (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
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(* 2 v)
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(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) v)))
(* -1 (+ (log -2) (* -1 (log (/ -1 v)))))
(/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) v))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) v))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(* -1 (pow (+ (log -2) (* -1 (log (/ -1 v)))) 3))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i)))
(exp (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 3)

Calls

15 calls:

Time	Variable		Point	Expression
57.0ms	cosTheta_i	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* (/ (exp (- 6931/10000 (/ 1 v))) v) 1/2) (/ (exp (- 6931/10000 (/ 1 v))) v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0)) (- 6931/10000 (/ 1 v)) (exp (- 6931/10000 (/ 1 v))) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (pow (log (* 2 v)) 3))
54.0ms	v	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* (/ (exp (- 6931/10000 (/ 1 v))) v) 1/2) (/ (exp (- 6931/10000 (/ 1 v))) v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0)) (- 6931/10000 (/ 1 v)) (exp (- 6931/10000 (/ 1 v))) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (pow (log (* 2 v)) 3))
35.0ms	cosTheta_O	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* (/ (exp (- 6931/10000 (/ 1 v))) v) 1/2) (/ (exp (- 6931/10000 (/ 1 v))) v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0)) (- 6931/10000 (/ 1 v)) (exp (- 6931/10000 (/ 1 v))) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (pow (log (* 2 v)) 3))
23.0ms	sinTheta_i	@	inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* (/ (exp (- 6931/10000 (/ 1 v))) v) 1/2) (/ (exp (- 6931/10000 (/ 1 v))) v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0)) (- 6931/10000 (/ 1 v)) (exp (- 6931/10000 (/ 1 v))) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (pow (log (* 2 v)) 3))
22.0ms	v	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (* (/ (exp (- 6931/10000 (/ 1 v))) v) 1/2) (/ (exp (- 6931/10000 (/ 1 v))) v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0)) (- 6931/10000 (/ 1 v)) (exp (- 6931/10000 (/ 1 v))) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (+ (/ (- 0 (pow (log (* 2 v)) 3)) (+ 0 (+ (pow (log (* 2 v)) 2) 0))) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (pow (log (* 2 v)) 3))

simplify248.0ms (2.4%)

Memory

18.1MiB live, 285.3MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1638	12461
1	6004	12034
0	8119	11406

Stop Event

1×	iter limit
1×	node limit

Counts

313 → 313

Calls

Call 1

Inputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(* -1 (/ (log (/ 1/2 v)) sinTheta_i))
(+ (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* -1 (/ (log (* 2 v)) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i)) (/ cosTheta_O v)))
(/ (exp (- (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))
(* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (- (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i))))
(* -1 (* cosTheta_i (+ (/ cosTheta_O (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* -1 (/ (log (* 2 v)) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O))))
(* -1 (* cosTheta_O (+ (/ cosTheta_i (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
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(+ (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ 6931/10000 (+ (* -1 (+ (log -2) (* -1 (log (/ -1 v))))) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) v)))
(* -1 (+ (log -2) (* -1 (log (/ -1 v)))))
(/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) v))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) v))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(* -1 (pow (+ (log -2) (* -1 (log (/ -1 v)))) 3))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i)))
(exp (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 3)

Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_i (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
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(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (exp.f32 (-.f32 (-.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (-.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_O (exp.f32 (-.f32 (-.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (exp.f32 (-.f32 (-.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/6 binary32))) cosTheta_O (.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (-.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_O (exp.f32 (-.f32 (-.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (* -1 (log (* 2 v))) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (pow.f32 (.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal -1 binary32)) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 v cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (* -1 (/ (log (* 2 v)) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (-.f32 (+.f32 (/.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(literal 6931/10000 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 v cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(.f32 (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O)) (/ cosTheta_i v)))
(.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i (*.f32 sinTheta_i v))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (-.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O))))
(.f32 (neg.f32 cosTheta_O) (fma.f32 sinTheta_i (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_O) (neg.f32 (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (/ cosTheta_i (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i (*.f32 sinTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(fma.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v)) #s(literal -1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(fma.f32 (fma.f32 (.f32 sinTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 v v))) #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) sinTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/12 binary32))) sinTheta_i (.f32 (.f32 sinTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 v v))) #s(literal -1/2 binary32))) sinTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
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(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) (* 1/2 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000))))) v))) (* -1 (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))) v)) (/ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (exp -6931/10000)))
(fma.f32 (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1 binary32) (-.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32)))) (.f32 (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1 binary32) (-.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32))))) #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32))))) v))) (fma.f32 #s(literal 1 binary32) (-.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32)))) (*.f32 (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)))) v))) (neg.f32 (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32))))) v) #s(literal -1 binary32) (exp.f32 (-.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal -6931/10000 binary32))))
(* -1 (pow (+ (log -2) (* -1 (log (/ -1 v)))) 3))
(pow.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))) #s(literal 3 binary32))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 2 binary32))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal -1/6 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) #s(literal -1 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (/.f32 (+.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i))
(neg.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i)))
(*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v) (/.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32))) sinTheta_i)))
(exp (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))
(exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32)))))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(fma.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_O cosTheta_i)) v) (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(fma.f32 (/.f32 (fma.f32 (neg.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) v) #s(literal -1/2 binary32))) v) #s(literal -1 binary32) (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))))
(+ (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(fma.f32 (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) v) #s(literal 1/6 binary32) (.f32 (.f32 (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) v))) v) #s(literal -1 binary32) (exp.f32 (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))))))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 3)
(pow.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32) (log.f32 #s(literal -2 binary32))) #s(literal 3 binary32))

rewrite178.0ms (1.7%)

Memory

29.0MiB live, 219.8MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	533
0	131	467
1	619	438
2	5205	438
0	8688	438

Stop Event

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

Counts

27 → 586

Calls

Call 1

Inputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
(*.f32 #s(literal 2 binary32) v)
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))
(*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
(+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i))
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))

Outputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
#s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)
(+.f32 (/.f32 (cosh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (sinh.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v))
(neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(/.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))))) (neg.f32 (*.f32 #s(literal -2 binary32) v)))
(/.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) v)
(/.f32 (neg.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) (*.f32 #s(literal -2 binary32) v))
(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(+.f32 (/.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (.f32 #s(literal 2 binary32) v)) (/.f32 (sinh.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v)))
(neg.f32 (/.f32 (neg.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) (*.f32 #s(literal 2 binary32) v)))
(neg.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (*.f32 #s(literal -2 binary32) v)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (-.f32 (.f32 (sinh.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) (.f32 (cosh.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))
(+.f32 (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))))
(+.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))
(*.f32 #s(literal 2 binary32) v)
(*.f32 v #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 v v) (.f32 v v)) (-.f32 v v))
(/.f32 (+.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) (fma.f32 v v (-.f32 (.f32 v v) (.f32 v v))))
(+.f32 v v)
(.f32 (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) (cosh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) (-.f32 (.f32 (sinh.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) (sinh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v))))) (.f32 (cosh.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) (sinh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v))))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
(+.f32 (sinh.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) (cosh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(+.f32 (cosh.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v)))) (sinh.f32 (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32))) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 (-.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))))
(/.f32 (+.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (fma.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (.f32 #s(literal 2 binary32) v))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (/.f32 (pow.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 2 binary32)) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (pow.f32 (*.f32 #s(literal 2 binary32) v) #s(literal 1 binary32))))
(-.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32))) #s(literal 1 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
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(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 12 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 12 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) #s(literal 0 binary32))
(fma.f32 (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 9/2 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 9/2 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (neg.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32)) (pow.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32)) (pow.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (log.f32 #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (.f32 (log.f32 v) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 v)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) #s(literal -1 binary32) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
(fma.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) #s(literal 0 binary32))
(pow.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))
(+.f32 (.f32 (log.f32 #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (.f32 (log.f32 v) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))))
(+.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (log.f32 v)))
(+.f32 (.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))))
(+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 0 binary32)))
(+.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) #s(literal 3/2 binary32)))
(exp.f32 (log.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))))
(neg.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)))

eval197.0ms (1.9%)

Memory: 6.0MiB live, 291.9MiB allocated; 55ms collecting garbage
Compiler: Compiled 47 962 to 5 044 computations (89.5% saved)

prune25.0ms (0.2%)

Memory

-21.2MiB live, 70.9MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	872	7	879
Fresh	0	3	3
Picked	4	1	5
Done	0	1	1
Total	876	12	888

Accuracy

100.0%

Counts

888 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.2%	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32))) #s(literal 2 binary32)) (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	84.2%	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) #s(approx (+ 0 (+ (pow (log ( 2 v)) 2) 0)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	4.6%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
	36.3%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	91.3%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	99.5%	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.8%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))
▶	99.9%	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
▶	49.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
✓	99.9%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
	98.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))

Compiler

Compiled 1 009 to 724 computations (28.2% saved)

simplify152.0ms (1.5%)

Memory

-3.8MiB live, 180.0MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
cost-diff	17	(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
cost-diff	0	#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))
cost-diff	0	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))))
cost-diff	1	(neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))
cost-diff	1	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(/.f32 #s(literal -1 binary32) v)
cost-diff	0	#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)))
cost-diff	0	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	2	(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))
cost-diff	0	(+.f32 v v)
cost-diff	0	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
cost-diff	0	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
cost-diff	0	(*.f32 #s(literal 2 binary32) v)
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) v))
cost-diff	1	(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
cost-diff	1	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	860
0	131	819
1	257	806
2	621	806
3	2283	752
0	8159	752

Stop Event

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

Calls

Call 1

Inputs
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
v
#s(literal -1 binary32)
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(+.f32 v v)
v
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
v
#s(literal -1/2 binary32)
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))
(.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))
(neg.f32 sinTheta_i)
sinTheta_i
(-.f32 #s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))
#s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))
(neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))
(/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (neg.f32 sinTheta_O) v)
(neg.f32 sinTheta_O)
sinTheta_O
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
(exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
#s(literal 332956652491/1000000000000 binary32)
(fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
(+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
#s(literal 48038761/100000000 binary32)
(exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32))
#s(literal 3 binary32)

Outputs
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- ( cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(-.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (log.f32 (*.f32 v #s(literal 2 binary32))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) v)
(*.f32 v #s(literal 2 binary32))
#s(literal 2 binary32)
v
#s(literal -1 binary32)
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(literal 6931/10000 binary32)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
(+.f32 v v)
(*.f32 v #s(literal 2 binary32))
v
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)))
#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))
(/.f32 #s(literal 1/2 binary32) v)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
v
#s(literal -1/2 binary32)
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 (-.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i)))
(.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))
(.f32 (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v)) (neg.f32 sinTheta_i))
(neg.f32 sinTheta_i)
sinTheta_i
(-.f32 #s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))
(-.f32 #s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))
#s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))
#s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i))
(neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)
(/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (neg.f32 sinTheta_O) v)
(neg.f32 sinTheta_O)
sinTheta_O
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 6931/10000 binary32)
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (exp.f32 (/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))
(*.f32 (exp.f32 (/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
(exp.f32 (/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (pow.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) v) #s(literal 3 binary32))) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))
(exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))
#s(literal 332956652491/1000000000000 binary32)
(fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))
(fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))
(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_i
sinTheta_O
#s(literal 1 binary32)
(+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
#s(literal 6931/10000 binary32)
#s(literal 48038761/100000000 binary32)
(exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))
(/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32))
(pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))
#s(literal 3 binary32)

localize245.0ms (2.4%)

Memory

10.4MiB live, 396.9MiB allocated; 44ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24255756837909412	(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32))
accuracy	0.248378759768442	(fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))
accuracy	0.7939808162367012	(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
accuracy	15.86248071287062	(/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
accuracy	1.2680035710239324	(.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))
accuracy	1.8451172251833583	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	1.862964341297949	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))))
accuracy	3.82609325195611	#s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))
accuracy	0.02734375	(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy	0.0546875	(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
accuracy	1.8451172251833583	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	7.2733824864874865	#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)))
accuracy	0.0	(+.f32 v v)
accuracy	0.017419654760301943	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
accuracy	0.028007519536884032	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
accuracy	28.230723855565458	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
accuracy	0.0	#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
accuracy	0.04201127930532605	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
accuracy	0.0546875	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
accuracy	0.05859375	(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))

Samples

140.0ms	231×	0	valid
15.0ms	25×	0	exit

Compiler

Compiled 666 to 80 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-div: 34.0ms (27.7% of total)

ival-mult: 17.0ms (13.9% of total)

ival-exp: 15.0ms (12.2% of total)

ival-add: 14.0ms (11.4% of total)

ival-log: 13.0ms (10.6% of total)

const: 12.0ms (9.8% of total)

ival-sub: 11.0ms (9% of total)

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

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

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series442.0ms (4.3%)

Memory

6.5MiB live, 495.3MiB allocated; 61ms collecting garbage

Counts

30 → 378

Calls

Call 1

Inputs
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
(+.f32 v v)
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))
(/.f32 #s(literal 1/2 binary32) v)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
#s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))
(.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))
(/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32))

Outputs
(exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* -1 (/ (log (/ 1/2 v)) sinTheta_i))
(+ (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (log (* 2 v)) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))
(* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i)) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (/ cosTheta_O (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* cosTheta_O (- (+ (* -1 (/ (log (* 2 v)) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O)) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (/ cosTheta_i (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O))))
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(* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i))
(/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_i (- (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_i (- (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_i (- (/ (pow sinTheta_O 3) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (* (pow sinTheta_O 2) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* (pow v 2) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))
(+ (* -332956652491/1000000000000 (/ (* sinTheta_i (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (* -332956652491/1000000000000 (/ (* (pow sinTheta_O 2) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))))))) (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_i (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (/ 1 (pow v 2)))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_i (+ (/ sinTheta_O (pow v 2)) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (/ 1 (pow v 2)))))
(/ 1 (pow v 3))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 3))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 3)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 3))) (+ (* sinTheta_i (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) (/ sinTheta_O (pow v 3))))) (/ 1 (pow v 3)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 3))) (+ (* sinTheta_i (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (+ (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)) (/ (pow sinTheta_O 2) (pow v 3))))) (/ sinTheta_O (pow v 3))))) (/ 1 (pow v 3)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ (log (* 2 v)) sinTheta_i)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))
(+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(/ 1/2 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 4))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i))))
(* sinTheta_i (- (+ (* 3 (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 2))) (+ (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_i (- (+ (* 3 (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 3) v))) (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 2))) (+ (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (+ (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 (* sinTheta_O v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (pow sinTheta_O 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))))))
(* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(/ (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (pow sinTheta_i 2))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 2))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 6)))) (pow sinTheta_i 3))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))) (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i)))))) (pow sinTheta_i 2))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (/ sinTheta_O (* sinTheta_i (pow v 2))) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* sinTheta_i v)) (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (/ 48038761/100000000 (pow sinTheta_i 2)) (+ (* 6931/10000 (/ 1 (* (pow sinTheta_i 2) v))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (+ (/ sinTheta_O (* sinTheta_i (pow v 2))) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* sinTheta_i v)) (/ (pow sinTheta_O 2) (pow v 2))))))))
(/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))
(* (pow sinTheta_i 3) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3)))))
(* (pow sinTheta_i 3) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3)))))))
(* (pow sinTheta_i 3) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ 1 (* (pow sinTheta_i 3) (pow v 3))) (+ (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3))))))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_i)) (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 3))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_i)) (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 3))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O sinTheta_i))) (+ (* 3 (/ 1 v)) (+ (/ 3 (* sinTheta_O (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (* (pow sinTheta_O 2) sinTheta_i))))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow sinTheta_O 2) v)) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O)) (+ (* 3 (/ 1 (* sinTheta_O v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2)))))) (pow sinTheta_O 2))) (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2)))) sinTheta_i)) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O)) (+ (* 3 (/ 1 (* sinTheta_O v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2))))) sinTheta_i)) (* 3 (/ 1 v))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(/ (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (* (pow sinTheta_O 6) sinTheta_i))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) sinTheta_i)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 4)))) sinTheta_i)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))))) (* (pow sinTheta_O 2) sinTheta_i))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))))) (* (pow sinTheta_O 6) sinTheta_i)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4))))) sinTheta_i)) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 4)))) sinTheta_i)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_O (pow v 2))) (+ (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (* -1 (/ (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) sinTheta_i)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_O (pow v 3))) (* -1 (/ sinTheta_O (pow v 3)))) sinTheta_i)) (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O (pow v 3))) (* -1 (/ sinTheta_O (pow v 3)))) (/ 1 (* sinTheta_i (pow v 3)))) sinTheta_i)) (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(+ (* sinTheta_O (- (* -332956652491/1000000000000 (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))) (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))))) (/ (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))))
(+ (* sinTheta_O (- (+ (* -332956652491/1000000000000 (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))) (* sinTheta_O (- (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (* -1 (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 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2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* v (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))))) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (- (+ (* 1/2 (pow (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) 2)) (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* v (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))))))))))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (/ (pow sinTheta_i 3) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (* (pow sinTheta_i 2) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* (pow v 2) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* -332956652491/1000000000000 (/ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (* -332956652491/1000000000000 (/ (* (pow sinTheta_i 2) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))))))) (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (/ 1 (pow v 2)))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (+ (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (/ 1 (pow v 2)))))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 3)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (+ (* sinTheta_O (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) (/ sinTheta_i (pow v 3))))) (/ 1 (pow v 3)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (+ (* sinTheta_O (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (+ (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3)) (/ (pow sinTheta_i 2) (pow v 3))))) (/ sinTheta_i (pow v 3))))) (/ 1 (pow v 3)))
(* sinTheta_O (- (+ (* -1 (/ (log (* 2 v)) sinTheta_O)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 4))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i))))
(* sinTheta_O (- (+ (* 3 (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) sinTheta_i)) (+ (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_O (- (+ (* 3 (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 2) v))) (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v)))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) sinTheta_i)) (+ (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (+ (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 (* sinTheta_i v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (pow sinTheta_i 2)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))))))
(/ (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (pow sinTheta_O 2))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 2))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 6)))) (pow sinTheta_O 3))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))) (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4))))))) (pow sinTheta_O 2))
(* (pow sinTheta_O 2) (+ (/ sinTheta_i (* sinTheta_O (pow v 2))) (+ (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* sinTheta_O v)) (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (/ 48038761/100000000 (pow sinTheta_O 2)) (+ (* 6931/10000 (/ 1 (* (pow sinTheta_O 2) v))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (+ (/ sinTheta_i (* sinTheta_O (pow v 2))) (+ (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* sinTheta_O v)) (/ (pow sinTheta_i 2) (pow v 2))))))))
(* (pow sinTheta_O 3) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3)))))
(* (pow sinTheta_O 3) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3)))))))
(* (pow sinTheta_O 3) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ 1 (* (pow sinTheta_O 3) (pow v 3))) (+ (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3))))))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_O)) (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 3))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_O)) (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 3))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O sinTheta_i))) (+ (* 3 (/ 1 v)) (+ (/ 3 (* sinTheta_O (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (* sinTheta_O (pow sinTheta_i 2)))))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow sinTheta_i 2) v)) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i)) (+ (* 3 (/ 1 (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2)))) sinTheta_O)) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i)) (+ (* 3 (/ 1 (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2))))) sinTheta_O)) (* 3 (/ 1 v))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(/ (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (* sinTheta_O (pow sinTheta_i 6)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 4))))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 4)))) sinTheta_O)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))))) (* sinTheta_O (pow sinTheta_i 2)))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))))) (* sinTheta_O (pow sinTheta_i 6))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4))))) sinTheta_O)) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 4)))) sinTheta_O)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_i (pow v 2))) (+ (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (* -1 (/ (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) sinTheta_O)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 3) (pow v 3))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_i (pow v 3))) (* -1 (/ sinTheta_i (pow v 3)))) sinTheta_O)) (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 3) (pow v 3))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i (pow v 3))) (* -1 (/ sinTheta_i (pow v 3)))) (/ 1 (* sinTheta_O (pow v 3)))) sinTheta_O)) (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 3) (pow v 3))))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (* -1 (+ (log 2) (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ (log 2) (log v))
(* 2 v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ 1/2 v)
(/ -1 v)
(* -1 (+ (* -1 (/ (log v) sinTheta_i)) (/ (log 1/2) sinTheta_i)))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(+ (* 332956652491/1000000000000 (/ (pow v 2) (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(+ (* (pow v 2) (+ (* -2307722558415121/10000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 332956652491/1000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(+ (* (pow v 2) (+ (* v (- (* 110860132438012536505081/2000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)))) (* 2307722558415121/10000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))))) (* 332956652491/1000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(/ (+ (* 332956652491/2000000000000 (/ (pow v 2) (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) v)
(/ (+ (* (pow v 2) (+ (* -2307722558415121/20000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 332956652491/2000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) v)
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6931/10000
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48038761/100000000
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(* -1 (+ (/ (log -1/2) sinTheta_i) (/ (log (/ -1 v)) sinTheta_i)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (+ (* -1 (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) v)) (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (+ (* -1 (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))
(* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i)))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) v)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v))) (pow v 3)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))) v))) v))) (pow v 3)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (+ (* -1 (/ (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))))) (* 100000000000000000000/15994825052375203651 (pow (+ 1 (* sinTheta_O sinTheta_i)) 6))) v)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)))) v))) v))) (pow v 3)))
(+ 6931/10000 (* -1 (/ (- (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (+ (* 10000/6931 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 48038761/100000000 (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -6931/10000 (+ 1 (* sinTheta_O sinTheta_i)))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
93.0ms	sinTheta_i	@	-inf	((exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ -1 v) -1/2) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/ -1 v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (neg (/ (log (/ 1/2 v)) sinTheta_i)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))))) (/ 1/2 v) (- 6931/10000 (/ 1 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ 1 v) 6931/10000) (exp (- (/ 1 v) 6931/10000)) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000) (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3))
47.0ms	v	@	inf	((exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ -1 v) -1/2) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/ -1 v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (neg (/ (log (/ 1/2 v)) sinTheta_i)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))))) (/ 1/2 v) (- 6931/10000 (/ 1 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ 1 v) 6931/10000) (exp (- (/ 1 v) 6931/10000)) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000) (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3))
46.0ms	v	@	0	((exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ -1 v) -1/2) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/ -1 v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (neg (/ (log (/ 1/2 v)) sinTheta_i)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))))) (/ 1/2 v) (- 6931/10000 (/ 1 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ 1 v) 6931/10000) (exp (- (/ 1 v) 6931/10000)) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000) (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3))
42.0ms	v	@	-inf	((exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ -1 v) -1/2) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/ -1 v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (neg (/ (log (/ 1/2 v)) sinTheta_i)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))))) (/ 1/2 v) (- 6931/10000 (/ 1 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ 1 v) 6931/10000) (exp (- (/ 1 v) 6931/10000)) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000) (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3))
40.0ms	sinTheta_O	@	0	((exp (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (log (* 2 v)) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ -1 v) -1/2) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/ -1 v) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (neg (/ (log (/ 1/2 v)) sinTheta_i)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (/ (exp (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))) (exp (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000))))) (/ 1/2 v) (- 6931/10000 (/ 1 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ 1 v) 6931/10000) (exp (- (/ 1 v) 6931/10000)) (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (* (neg sinTheta_i) (- (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (/ (neg sinTheta_O) v))) (/ (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/ 332956652491/1000000000000 (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000) (pow (/ (+ (* sinTheta_i sinTheta_O) 1) v) 3))

simplify425.0ms (4.2%)

Memory

17.9MiB live, 400.6MiB allocated; 121ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2570	36197
0	8391	34504

Stop Event

1×	iter limit
1×	node limit

Counts

378 → 378

Calls

Call 1

Inputs
(exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* -1 (/ (log (/ 1/2 v)) sinTheta_i))
(+ (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) v))
(exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (log (* 2 v)) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))
(* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i)) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (/ cosTheta_O (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* cosTheta_O (- (+ (* -1 (/ (log (* 2 v)) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O)) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (/ cosTheta_i (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O))))
(exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))
(/ (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))
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(+ (* sinTheta_i (- (+ (* -332956652491/1000000000000 (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))) (* sinTheta_i (- (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (* -1 (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 4))))) (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (* (- (* -332956652491/1000000000000 (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))) (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (- (+ (* 1/2 (pow (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 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2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* v (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))))) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ (* (exp (/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (- (+ (* 1/2 (pow (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) 2)) (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* v (exp (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))))))))))))
(* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i))
(/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_i (- (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_i (- (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_i (- (/ (pow sinTheta_O 3) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (* (pow sinTheta_O 2) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* (pow v 2) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))) (/ (pow sinTheta_O 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_O 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_O (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_O (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(/ 332956652491/1000000000000 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))
(+ (* -332956652491/1000000000000 (/ (* sinTheta_i (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (* -332956652491/1000000000000 (/ (* (pow sinTheta_O 2) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))))))) (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_i (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (/ 1 (pow v 2)))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_i (+ (/ sinTheta_O (pow v 2)) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (/ 1 (pow v 2)))))
(/ 1 (pow v 3))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 3))) (/ sinTheta_O (pow v 3)))) (/ 1 (pow v 3)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 3))) (+ (* sinTheta_i (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) (/ sinTheta_O (pow v 3))))) (/ 1 (pow v 3)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 3))) (+ (* sinTheta_i (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (+ (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)) (/ (pow sinTheta_O 2) (pow v 3))))) (/ sinTheta_O (pow v 3))))) (/ 1 (pow v 3)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ (log (* 2 v)) sinTheta_i)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))
(+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(/ 1/2 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 4))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i))))
(* sinTheta_i (- (+ (* 3 (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 2))) (+ (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_i (- (+ (* 3 (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 3) v))) (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 2))) (+ (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (+ (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 (* sinTheta_O v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (pow sinTheta_O 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))))))
(* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(/ (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (pow sinTheta_i 2))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 2))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 6)))) (pow sinTheta_i 3))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))) (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i)))))) (pow sinTheta_i 2))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (/ sinTheta_O (* sinTheta_i (pow v 2))) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* sinTheta_i v)) (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (/ 48038761/100000000 (pow sinTheta_i 2)) (+ (* 6931/10000 (/ 1 (* (pow sinTheta_i 2) v))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (+ (/ sinTheta_O (* sinTheta_i (pow v 2))) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* sinTheta_i v)) (/ (pow sinTheta_O 2) (pow v 2))))))))
(/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))
(* (pow sinTheta_i 3) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3)))))
(* (pow sinTheta_i 3) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3)))))))
(* (pow sinTheta_i 3) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ 1 (* (pow sinTheta_i 3) (pow v 3))) (+ (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3))))))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_i)) (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 3))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_i)) (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 3))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O sinTheta_i))) (+ (* 3 (/ 1 v)) (+ (/ 3 (* sinTheta_O (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (* (pow sinTheta_O 2) sinTheta_i))))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow sinTheta_O 2) v)) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O)) (+ (* 3 (/ 1 (* sinTheta_O v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2)))))) (pow sinTheta_O 2))) (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2)))) sinTheta_i)) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O)) (+ (* 3 (/ 1 (* sinTheta_O v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2))))) sinTheta_i)) (* 3 (/ 1 v))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(/ (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (* (pow sinTheta_O 6) sinTheta_i))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) sinTheta_i)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 4)))) sinTheta_i)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))))) (* (pow sinTheta_O 2) sinTheta_i))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))))) (* (pow sinTheta_O 6) sinTheta_i)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4))))) sinTheta_i)) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 4)))) sinTheta_i)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_O (pow v 2))) (+ (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (* -1 (/ (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) sinTheta_i)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_O (pow v 3))) (* -1 (/ sinTheta_O (pow v 3)))) sinTheta_i)) (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O (pow v 3))) (* -1 (/ sinTheta_O (pow v 3)))) (/ 1 (* sinTheta_i (pow v 3)))) sinTheta_i)) (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
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(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (/ (pow sinTheta_i 3) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (* (pow sinTheta_i 2) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* (pow v 2) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* -332956652491/1000000000000 (/ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (* -332956652491/1000000000000 (/ (* (pow sinTheta_i 2) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))))))) (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (/ 1 (pow v 2)))))
(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (+ (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (/ 1 (pow v 2)))))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 3)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (+ (* sinTheta_O (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) (/ sinTheta_i (pow v 3))))) (/ 1 (pow v 3)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (+ (* sinTheta_O (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (+ (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3)) (/ (pow sinTheta_i 2) (pow v 3))))) (/ sinTheta_i (pow v 3))))) (/ 1 (pow v 3)))
(* sinTheta_O (- (+ (* -1 (/ (log (* 2 v)) sinTheta_O)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 4))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i))))
(* sinTheta_O (- (+ (* 3 (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) sinTheta_i)) (+ (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(* sinTheta_O (- (+ (* 3 (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 2) v))) (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v)))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) sinTheta_i)) (+ (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (+ (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 (* sinTheta_i v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (pow sinTheta_i 2)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))))))
(/ (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (pow sinTheta_O 2))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 2))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 6)))) (pow sinTheta_O 3))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))) (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4))))))) (pow sinTheta_O 2))
(* (pow sinTheta_O 2) (+ (/ sinTheta_i (* sinTheta_O (pow v 2))) (+ (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* sinTheta_O v)) (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (/ 48038761/100000000 (pow sinTheta_O 2)) (+ (* 6931/10000 (/ 1 (* (pow sinTheta_O 2) v))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (+ (/ sinTheta_i (* sinTheta_O (pow v 2))) (+ (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* sinTheta_O v)) (/ (pow sinTheta_i 2) (pow v 2))))))))
(* (pow sinTheta_O 3) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3)))))
(* (pow sinTheta_O 3) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3)))))))
(* (pow sinTheta_O 3) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ 1 (* (pow sinTheta_O 3) (pow v 3))) (+ (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3))))))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_O)) (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 3))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_O)) (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 3))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O sinTheta_i))) (+ (* 3 (/ 1 v)) (+ (/ 3 (* sinTheta_O (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (* sinTheta_O (pow sinTheta_i 2)))))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow sinTheta_i 2) v)) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i)) (+ (* 3 (/ 1 (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2)))) sinTheta_O)) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i)) (+ (* 3 (/ 1 (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2))))) sinTheta_O)) (* 3 (/ 1 v))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(/ (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (* sinTheta_O (pow sinTheta_i 6)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 4))))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 4)))) sinTheta_O)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))))) (* sinTheta_O (pow sinTheta_i 2)))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))))) (* sinTheta_O (pow sinTheta_i 6))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4))))) sinTheta_O)) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 4)))) sinTheta_O)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_i (pow v 2))) (+ (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (* -1 (/ (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) sinTheta_O)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
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(/ (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))
(/ (- (+ (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))) (pow v 2))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v))) (pow v 3))
(/ (- (+ (* -1 (/ (+ (* -100000000000000000000/15994825052375203651 (pow (+ 1 (* sinTheta_O sinTheta_i)) 6)) (* -10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)))))) (pow v 3))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 2))) (+ (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* 10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 2)))))) (pow v 3))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(- (+ 6931/10000 (* -1 (/ (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
48038761/100000000
(+ 48038761/100000000 (* 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 48038761/100000000 (+ (* 6931/10000 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v)))))))
(+ (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ 6931/10000 (* -1 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ 6931/10000 (+ (* -1 (+ (log -2) (* -1 (log (/ -1 v))))) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(* -1 (+ (/ (log -1/2) sinTheta_i) (/ (log (/ -1 v)) sinTheta_i)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* (exp 6931/10000) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (+ (* -1 (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) v)) (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (+ (* -1 (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))
(* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i)))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) v)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v))) (pow v 3)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))) v))) v))) (pow v 3)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (+ (* -1 (/ (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))))) (* 100000000000000000000/15994825052375203651 (pow (+ 1 (* sinTheta_O sinTheta_i)) 6))) v)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)))) v))) v))) (pow v 3)))
(+ 6931/10000 (* -1 (/ (- (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (+ (* 10000/6931 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 48038761/100000000 (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -6931/10000 (+ 1 (* sinTheta_O sinTheta_i)))) v)))

Outputs
(exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v)) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))))) (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
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(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
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(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
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(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
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(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
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(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(* -1 (/ (log (/ 1/2 v)) sinTheta_i))
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(* -1 (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_i (- (+ (* -1 (/ (log (* 2 v)) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
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(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))
(/.f32 (neg.f32 (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_i v))
(* cosTheta_i (+ (* -1 (/ cosTheta_O (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i sinTheta_i)) (neg.f32 (/.f32 cosTheta_O (*.f32 sinTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i)) (/ cosTheta_O v)))
(.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)) (/.f32 cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (neg.f32 (/.f32 cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (neg.f32 (/.f32 cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(neg.f32 (.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (neg.f32 (/.f32 cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (/ cosTheta_O (* sinTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i)))))
(neg.f32 (.f32 cosTheta_i (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i sinTheta_i)) (/.f32 cosTheta_O (*.f32 sinTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_i))))
(neg.f32 (.f32 cosTheta_i (fma.f32 sinTheta_i (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (neg.f32 (/.f32 cosTheta_O v)))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v)) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))))) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (pow.f32 v #s(literal 3 binary32)))))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v)) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))))) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (pow.f32 v #s(literal 3 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (.f32 (/.f32 cosTheta_i v) (exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (exp.f32 (-.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 v v)) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 v v))))) (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i cosTheta_i)) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (.f32 v v)) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (.f32 v v))))) (*.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(* cosTheta_O (- (+ (* -1 (/ (log (* 2 v)) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O v))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (* -1 (/ (log (/ 1/2 v)) (* cosTheta_O sinTheta_i)))))
(.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_O sinTheta_i)) (neg.f32 (/.f32 cosTheta_i (*.f32 sinTheta_i v)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (log (* 2 v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_i (- (* -1 (/ (log (/ 1/2 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))) cosTheta_O))))
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(- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
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(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
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(/ 1 (pow v 3))
(/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32)))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ (log (* 2 v)) sinTheta_i)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
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(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))
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(/ 1/2 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
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(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))
(fma.f32 #s(literal 332956652491/2000000000000 binary32) (/.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
(fma.f32 #s(literal -332956652491/2000000000000 binary32) (/.f32 (/.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (pow.f32 sinTheta_O #s(literal 4 binary32))) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))) (fma.f32 #s(literal 332956652491/2000000000000 binary32) (/.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))))
(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 4))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))))
(fma.f32 #s(literal -332956652491/2000000000000 binary32) (/.f32 (/.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (pow.f32 sinTheta_O #s(literal 4 binary32))) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))) (fma.f32 #s(literal 332956652491/2000000000000 binary32) (/.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 110860132438012536505081/2000000000000000000000000 binary32) (/.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 4 binary32))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))) (neg.f32 (/.f32 (fma.f32 #s(literal -332956652491/1000000000000 binary32) (.f32 (pow.f32 v #s(literal 6 binary32)) (/.f32 (pow.f32 (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) #s(literal 2 binary32)) (pow.f32 sinTheta_O #s(literal 6 binary32)))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (pow.f32 sinTheta_O #s(literal 4 binary32))))) (.f32 v (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))))) (pow.f32 sinTheta_i #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 3 binary32) (.f32 sinTheta_i v)) (/.f32 sinTheta_O v)) (.f32 v (/.f32 (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) (*.f32 sinTheta_O sinTheta_i)))))
(* sinTheta_i (- (+ (* 3 (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 2))) (+ (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
(.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 3 binary32) (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) v))) (+.f32 (/.f32 #s(literal 3 binary32) (.f32 sinTheta_i v)) (/.f32 sinTheta_O v))) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) sinTheta_i) (/.f32 (.f32 (.f32 (.f32 v v) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (/.f32 (.f32 v (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) sinTheta_O))) (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))))
(* sinTheta_i (- (+ (* 3 (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 3) v))) (+ (/ 3 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 2))) (+ (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (+ (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))) (+ (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 (* sinTheta_O v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O) (/ (* (pow v 2) (* (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)))) (pow sinTheta_O 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))))))
(.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) v)) (+.f32 (/.f32 #s(literal 3 binary32) (.f32 sinTheta_i v)) (/.f32 sinTheta_O v))) (/.f32 #s(literal 3 binary32) (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) v)))) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) sinTheta_i) (fma.f32 (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) (-.f32 (/.f32 #s(literal 3 binary32) v) (/.f32 (.f32 v (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) sinTheta_O))) (pow.f32 sinTheta_i #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) (-.f32 (/.f32 #s(literal 3 binary32) v) (/.f32 (.f32 v (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) sinTheta_O))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 v v) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) (.f32 sinTheta_O v)) (fma.f32 (.f32 v v) (/.f32 (.f32 (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) (-.f32 (/.f32 #s(literal 3 binary32) v) (/.f32 (.f32 v (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) sinTheta_O))) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 v (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) sinTheta_O)))) (.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 sinTheta_i #s(literal 3 binary32))))))))))
(* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(/.f32 (.f32 #s(literal 332956652491/1000000000000 binary32) (.f32 v v)) (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))
(/ (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/.f32 (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i)) (/.f32 (.f32 #s(literal 332956652491/1000000000000 binary32) (.f32 v v)) (.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i sinTheta_i))
(/ (- (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (pow sinTheta_i 2))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i)))) (pow sinTheta_i 2))
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(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 2))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 6)))) (pow sinTheta_i 3))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) 2)) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))) (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_O (pow v 2)) (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 4) sinTheta_i)))))) (pow sinTheta_i 2))
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(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
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(* (pow sinTheta_i 2) (+ (/ sinTheta_O (* sinTheta_i (pow v 2))) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* sinTheta_i v)) (/ (pow sinTheta_O 2) (pow v 2)))))
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(* (pow sinTheta_i 2) (+ (/ 48038761/100000000 (pow sinTheta_i 2)) (+ (* 6931/10000 (/ 1 (* (pow sinTheta_i 2) v))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (+ (/ sinTheta_O (* sinTheta_i (pow v 2))) (+ (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) (* sinTheta_i v)) (/ (pow sinTheta_O 2) (pow v 2))))))))
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(* (pow sinTheta_i 3) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3)))))
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(* (pow sinTheta_i 3) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3)))))))
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(* (pow sinTheta_i 3) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3)))) (+ (/ 1 (* (pow sinTheta_i 3) (pow v 3))) (+ (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3))) (+ (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 3))) (/ (pow sinTheta_O 3) (pow v 3))))))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_i)) (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 3))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
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(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (* (pow sinTheta_i 3) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
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(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_i)) (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_i 3))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) sinTheta_i) (/.f32 sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) sinTheta_O))) sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O sinTheta_i))) (+ (* 3 (/ 1 v)) (+ (/ 3 (* sinTheta_O (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (* (pow sinTheta_O 2) sinTheta_i))))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 v (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) sinTheta_O) sinTheta_i) (+.f32 (fma.f32 (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) sinTheta_O)))) sinTheta_i) (/.f32 #s(literal 3 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 3 binary32) v))) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) sinTheta_O))) sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow sinTheta_O 2) v)) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O)) (+ (* 3 (/ 1 (* sinTheta_O v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2)))))) (pow sinTheta_O 2))) (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2)))) sinTheta_i)) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_O)) (+ (* 3 (/ 1 (* sinTheta_O v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))))) (pow sinTheta_O 2))))) sinTheta_i)) (* 3 (/ 1 v))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) sinTheta_O))) sinTheta_i)))))
(neg.f32 (.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) v)) (fma.f32 (.f32 v v) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) sinTheta_O)))) (.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (.f32 (.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 v (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) sinTheta_O) (fma.f32 (.f32 v v) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) sinTheta_O)))) (.f32 sinTheta_O sinTheta_O)) (/.f32 #s(literal 3 binary32) (.f32 sinTheta_O v))))) (.f32 sinTheta_O sinTheta_O))))) sinTheta_i)) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 v (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) sinTheta_O) (fma.f32 (.f32 v v) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) sinTheta_O)))) (.f32 sinTheta_O sinTheta_O)) (/.f32 #s(literal 3 binary32) (.f32 sinTheta_O v))))) sinTheta_i) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (*.f32 v v))))) sinTheta_O)))) sinTheta_i) (/.f32 (neg.f32 sinTheta_O) v))))
(/ (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 4) sinTheta_i))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/.f32 (.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 sinTheta_O #s(literal 4 binary32))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) sinTheta_i) (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)))) (.f32 sinTheta_i sinTheta_i))
(/ (+ (* -1 (/ (- (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (* (pow sinTheta_O 6) sinTheta_i))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) sinTheta_i)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 4)))) sinTheta_i)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/.f32 (fma.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (/.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (pow.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) #s(literal 2 binary32))) (pow.f32 sinTheta_O #s(literal 6 binary32))) sinTheta_i) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i)))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) (pow.f32 sinTheta_O #s(literal 4 binary32))))) sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4)))))) (* (pow sinTheta_O 2) sinTheta_i))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))))) (* (pow sinTheta_O 6) sinTheta_i)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_O 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_O 4))))) sinTheta_i)) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_O 4)))) sinTheta_i)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) (pow sinTheta_i 2))
(/.f32 (fma.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) (.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) sinTheta_i)) (neg.f32 (/.f32 (.f32 (.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (pow.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) #s(literal 2 binary32))) (pow.f32 sinTheta_O #s(literal 6 binary32))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (pow.f32 sinTheta_O #s(literal 4 binary32)))))) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))) (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (pow.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) #s(literal 2 binary32))) (pow.f32 sinTheta_O #s(literal 6 binary32))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (pow.f32 sinTheta_O #s(literal 4 binary32)))))) sinTheta_i) (.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))))) (pow.f32 sinTheta_O #s(literal 4 binary32))))) sinTheta_i))) (.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_O (pow v 2))) (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_O (pow v 2))) (+ (* -1 (/ (* sinTheta_O (+ 6931/10000 (/ 1 v))) v)) (* -1 (/ (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) sinTheta_i)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_O (.f32 v v))) (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) sinTheta_i))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(neg.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i) (neg.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_O (pow v 3))) (* -1 (/ sinTheta_O (pow v 3)))) sinTheta_i)) (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(neg.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (neg.f32 (/.f32 (*.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) #s(literal -3 binary32)) sinTheta_i))) sinTheta_i) (neg.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O (pow v 3))) (* -1 (/ sinTheta_O (pow v 3)))) (/ 1 (* sinTheta_i (pow v 3)))) sinTheta_i)) (+ (* 2 (/ (pow sinTheta_O 2) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 3)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 3) (pow v 3))))))
(neg.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (neg.f32 (/.f32 (-.f32 (.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) #s(literal -3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))))) sinTheta_i))) sinTheta_i) (neg.f32 (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v)) (neg.f32 (.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)))) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 v v))))) (neg.f32 (.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)))) (exp.f32 (-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 v v))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 v #s(literal 3 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v)) (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 3 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 v v))))) (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v)))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (neg.f32 (*.f32 (/.f32 sinTheta_i v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 3 binary32))) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (.f32 (pow.f32 v #s(literal 3 binary32)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (neg.f32 (.f32 (/.f32 sinTheta_i v) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (.f32 v v)) (neg.f32 (*.f32 sinTheta_i (/.f32 (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) v)))) (exp.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
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(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (* sinTheta_O (- (/ (pow sinTheta_i 3) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (* (pow sinTheta_i 2) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (* (pow v 2) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))))) (/ (pow sinTheta_i 2) (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (+ (* 2 (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (/ (pow sinTheta_i 2) (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ sinTheta_i (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))) (+ (/ sinTheta_i (* (pow v 5) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* (pow v 4) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2)))))) (/ 1 (* (pow v 3) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
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#s(literal 4 binary32))) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 5 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2 binary32))))) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))))))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (pow.f32 v #s(literal 3 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))))))) (fma.f32 (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 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(.f32 (pow.f32 v #s(literal 5 binary32)) (pow.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2 binary32)))))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))))) (fma.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32))) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (pow.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2 binary32))) (/.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 5 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2 binary32))))) (/.f32 (/.f32 #s(literal 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(+ (* -332956652491/1000000000000 (/ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
(fma.f32 #s(literal -332956652491/1000000000000 binary32) (.f32 sinTheta_O (/.f32 (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))) (pow.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) #s(literal 2 binary32)))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))) (* -332956652491/1000000000000 (/ (* (pow sinTheta_i 2) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))))))) (+ (* -332956652491/1000000000000 (/ (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 3))) (* 332956652491/1000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))))) (* 332956652491/1000000000000 (/ (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (pow (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) 2))))) (* 332956652491/1000000000000 (/ 1 (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))))))
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(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (/ 1 (pow v 2)))))
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(+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (+ (* sinTheta_O (+ (/ sinTheta_i (pow v 2)) (+ (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (/ 1 (pow v 2)))))
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(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (/ sinTheta_i (pow v 3)))) (/ 1 (pow v 3)))
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(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (+ (* sinTheta_O (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) (/ sinTheta_i (pow v 3))))) (/ 1 (pow v 3)))
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(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 3))) (+ (* sinTheta_O (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (+ (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3)) (/ (pow sinTheta_i 2) (pow v 3))))) (/ sinTheta_i (pow v 3))))) (/ 1 (pow v 3)))
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(* sinTheta_O (- (+ (* -1 (/ (log (* 2 v)) sinTheta_O)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
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(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
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(+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
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(+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* (pow sinTheta_O 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
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(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
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(+ (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 4))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))))))
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(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O))))
(* sinTheta_O (- (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 3 binary32) (.f32 sinTheta_O v))) (.f32 v (/.f32 (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))) (*.f32 sinTheta_O sinTheta_i)))))
(* sinTheta_O (- (+ (* 3 (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) sinTheta_i)) (+ (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))
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(* sinTheta_O (- (+ (* 3 (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 2) v))) (+ (/ 3 (* sinTheta_O v)) (/ sinTheta_i v)))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) sinTheta_i)) (+ (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O sinTheta_i)) (+ (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))) (+ (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 (* sinTheta_i v))) (+ (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i) (/ (* (pow v 2) (* (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (- (* 3 (/ 1 v)) (/ (* v (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_i)))) (pow sinTheta_i 2)))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))))))
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(/ (+ (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
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(/ (- (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (pow sinTheta_O 2))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4))))) (pow sinTheta_O 2))
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(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 2))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 6)))) (pow sinTheta_O 3))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))) (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (/ sinTheta_i (pow v 2)) (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (* sinTheta_O (pow sinTheta_i 4))))))) (pow sinTheta_O 2))
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(* (pow sinTheta_O 2) (+ (/ sinTheta_i (* sinTheta_O (pow v 2))) (+ (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* sinTheta_O v)) (/ (pow sinTheta_i 2) (pow v 2)))))
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(* (pow sinTheta_O 2) (+ (/ 48038761/100000000 (pow sinTheta_O 2)) (+ (* 6931/10000 (/ 1 (* (pow sinTheta_O 2) v))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (+ (/ sinTheta_i (* sinTheta_O (pow v 2))) (+ (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) (* sinTheta_O v)) (/ (pow sinTheta_i 2) (pow v 2))))))))
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(* (pow sinTheta_O 3) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3)))))
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(* (pow sinTheta_O 3) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3)))))))
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(* (pow sinTheta_O 3) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 2 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3)))) (+ (/ 1 (* (pow sinTheta_O 3) (pow v 3))) (+ (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3))) (+ (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 3))) (/ (pow sinTheta_i 3) (pow v 3))))))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (* -1 (log (* 2 v))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 4) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_O)) (* -332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 3))) (+ (* 332956652491/1000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))
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(+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (+ (* 332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
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(+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (/ (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))) (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))) (* 110860132438012536505081/2000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) sinTheta_O)) (* -332956652491/2000000000000 (/ (* (pow v 3) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* (pow sinTheta_i 4) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (pow sinTheta_O 3))) (+ (* 332956652491/2000000000000 (/ v (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))) (* 1/2 (/ 1 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))))))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) sinTheta_i))) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O sinTheta_i))) (+ (* 3 (/ 1 v)) (+ (/ 3 (* sinTheta_O (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (* sinTheta_O (pow sinTheta_i 2)))))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 v (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) sinTheta_O) sinTheta_i) (+.f32 (fma.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) sinTheta_i)))) (.f32 sinTheta_i sinTheta_i)) (/.f32 #s(literal 3 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 3 binary32) v))) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) sinTheta_i))) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow sinTheta_i 2) v)) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i)) (+ (* 3 (/ 1 (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))) (/ (* (pow v 2) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2)))) sinTheta_O)) (+ (* -1 (/ (* v (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) sinTheta_i)) (+ (* 3 (/ 1 (* sinTheta_i v))) (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (- (* 3 (/ 1 v)) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))))) (pow sinTheta_i 2))))) sinTheta_O)) (* 3 (/ 1 v))) (* -1 (/ (* v (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) sinTheta_i))) sinTheta_O)))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)) (fma.f32 (.f32 v v) (/.f32 (.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) sinTheta_i)))) (.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (.f32 (.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) (fma.f32 #s(literal -1 binary32) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) sinTheta_i)) (fma.f32 (.f32 v v) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) sinTheta_i)))) (.f32 sinTheta_i sinTheta_i)) (/.f32 #s(literal 3 binary32) (.f32 sinTheta_i v))))) (.f32 sinTheta_i sinTheta_i))))) sinTheta_O)) (fma.f32 #s(literal -1 binary32) (.f32 v (/.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) sinTheta_i)) (fma.f32 (.f32 v v) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) sinTheta_i)))) (.f32 sinTheta_i sinTheta_i)) (/.f32 #s(literal 3 binary32) (.f32 sinTheta_i v))))) sinTheta_O) (-.f32 (/.f32 #s(literal 3 binary32) v) (neg.f32 (/.f32 (.f32 v (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (*.f32 v v))))) sinTheta_i)))) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))))
(/ (+ (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (* sinTheta_O (pow sinTheta_i 4)))) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/.f32 (.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) sinTheta_O) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) (pow.f32 sinTheta_i #s(literal 4 binary32))) (/.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i)))) (.f32 sinTheta_O sinTheta_O))
(/ (+ (* -1 (/ (- (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (* sinTheta_O (pow sinTheta_i 6)))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (* sinTheta_O (pow sinTheta_i 4))))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 4)))) sinTheta_O)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/.f32 (fma.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (pow.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) #s(literal 2 binary32))) (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 6 binary32)))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 4 binary32)))))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) (pow.f32 sinTheta_i #s(literal 4 binary32))))) sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4)))))) (* sinTheta_O (pow sinTheta_i 2)))) (* -332956652491/1000000000000 (/ (* (pow v 6) (* (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))))) (* sinTheta_O (pow sinTheta_i 6))))) (+ (* -332956652491/1000000000000 (/ (* (pow v 6) (pow (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) 2)) (pow sinTheta_i 6))) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2))))) (pow sinTheta_i 4))))) sinTheta_O)) (* 332956652491/1000000000000 (/ (* (pow v 4) (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)))) (pow sinTheta_i 4)))) sinTheta_O)) (* 332956652491/1000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) (pow sinTheta_O 2))
(/.f32 (fma.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i)) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) (.f32 sinTheta_O (pow.f32 sinTheta_i #s(literal 6 binary32)))) (neg.f32 (/.f32 (.f32 (.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (pow.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 6 binary32))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (pow.f32 sinTheta_i #s(literal 4 binary32)))))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 6 binary32)) (pow.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 6 binary32))) (.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (pow.f32 sinTheta_i #s(literal 4 binary32)))))) sinTheta_O) (.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))))) (pow.f32 sinTheta_i #s(literal 4 binary32))))) sinTheta_O))) (.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_i (pow v 2))) (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ sinTheta_i (pow v 2))) (+ (* -1 (/ (* sinTheta_i (+ 6931/10000 (/ 1 v))) v)) (* -1 (/ (+ 48038761/100000000 (+ (* 6931/10000 (/ 1 v)) (/ 1 (pow v 2)))) sinTheta_O)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 sinTheta_i (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) v) (/.f32 sinTheta_i (.f32 v v))) (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v v))) sinTheta_O))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 3) (pow v 3))))))
(neg.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal 3 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O) (neg.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_i (pow v 3))) (* -1 (/ sinTheta_i (pow v 3)))) sinTheta_O)) (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 3) (pow v 3))))))
(neg.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (neg.f32 (/.f32 (*.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) #s(literal -3 binary32)) sinTheta_O))) sinTheta_O) (neg.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i (pow v 3))) (* -1 (/ sinTheta_i (pow v 3)))) (/ 1 (* sinTheta_O (pow v 3)))) sinTheta_O)) (+ (* 2 (/ (pow sinTheta_i 2) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 3)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 3) (pow v 3))))))
(neg.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (neg.f32 (/.f32 (-.f32 (.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) #s(literal -3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))))) sinTheta_O))) sinTheta_O) (neg.f32 (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (* -1 (+ (log 2) (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 v (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 6931/10000 binary32)) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(+ (log 2) (log v))
(+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* -1 (+ (* -1 (/ (log v) sinTheta_i)) (/ (log 1/2) sinTheta_i)))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32))) sinTheta_i))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (fma.f32 v (fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32))) (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O sinTheta_i)) v)
(+ (* 332956652491/1000000000000 (/ (pow v 2) (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (* (pow v 3) (+ 48038761/100000000 (/ (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (* sinTheta_O sinTheta_i))) v)))))))
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(* -1 (+ (/ (log -1/2) sinTheta_i) (/ (log (/ -1 v)) sinTheta_i)))
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(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))))
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(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32)))) v)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ (* -1 (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (+ (* -1 (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32)) (fma.f32 #s(literal 1/6 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (fma.f32 (.f32 #s(literal 10000/6931 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32)) (.f32 #s(literal 100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32))))))) (.f32 (.f32 #s(literal 100000000/48038761 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)))) v) (.f32 (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32)))))) v))) v))) v))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) v) #s(literal 6931/10000 binary32))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) v) (exp.f32 #s(literal -6931/10000 binary32)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) v) (neg.f32 (exp.f32 #s(literal -6931/10000 binary32)))) v) (exp.f32 #s(literal -6931/10000 binary32)))
(* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i))
(neg.f32 (/.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_i))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ (+ (log -1/2) (log (/ -1 v))) sinTheta_i)))
(*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v) (/.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_i)))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)) v)))
(+.f32 (fma.f32 sinTheta_i (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) v) (log.f32 (/.f32 #s(literal -1 binary32) v))) (log.f32 #s(literal -1/2 binary32)))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v))) (pow v 3)))
(neg.f32 (/.f32 (fma.f32 #s(literal 1000000000000/332956652491 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) v) (*.f32 #s(literal -100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)))) (pow.f32 v #s(literal 3 binary32))))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))) v))) v))) (pow v 3)))
(neg.f32 (/.f32 (fma.f32 #s(literal -100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1000000000000/332956652491 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) (neg.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 5 binary32)) #s(literal 0 binary32)) v))) v))) (pow.f32 v #s(literal 3 binary32))))
(* -1 (/ (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* -1 (/ (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (+ (* -1 (/ (+ (* 10000/6931 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5))))) (* 100000000000000000000/15994825052375203651 (pow (+ 1 (* sinTheta_O sinTheta_i)) 6))) v)) (* 10000000000000000/2307722558415121 (pow (+ 1 (* sinTheta_O sinTheta_i)) 5)))) v))) v))) (pow v 3)))
(neg.f32 (/.f32 (fma.f32 #s(literal -100000000/48038761 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1000000000000/332956652491 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -10000000000000000/2307722558415121 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 5 binary32)) (fma.f32 #s(literal 10000000000000000/2307722558415121 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 5 binary32)) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal 10000/6931 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 5 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 100000000000000000000/15994825052375203651 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6 binary32)))) v)))) v))) v))) (pow.f32 v #s(literal 3 binary32))))
(+ 6931/10000 (* -1 (/ (- (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v))) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) v) #s(literal 0 binary32)) (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (+ (* 10000/6931 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 #s(literal 10000/6931 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32)) v)) (.f32 #s(literal 100000000/48038761 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) v))) (*.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32))) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 6931/10000 binary32))
(+ 48038761/100000000 (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -6931/10000 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -6931/10000 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) v))) v) #s(literal 48038761/100000000 binary32))

rewrite179.0ms (1.8%)

Memory

-4.9MiB live, 138.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	689
0	131	648
1	572	493
0	4388	493

Stop Event

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

Counts

30 → 260

Calls

Call 1

Inputs
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
(+.f32 v v)
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) v)
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))
(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))))
#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))
(/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))))
(/.f32 #s(literal 1/2 binary32) v)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
#s(approx (/ (+ (* cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))
(.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v)))
(/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32))

Outputs
(.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- ( cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- ( cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
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(.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (-.f32 (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)) #s(literal 2307722558415121/10000000000000000 binary32))) (-.f32 (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32)))
(.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 110860132438012536505081/1000000000000000000000000 binary32) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32)))) (+.f32 (-.f32 #s(literal 2307722558415121/10000000000000000 binary32) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (pow.f32 (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32))))
(/.f32 #s(literal -332956652491/1000000000000 binary32) (neg.f32 (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (neg.f32 (neg.f32 (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))))
(/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))
(neg.f32 (/.f32 #s(literal -332956652491/1000000000000 binary32) (fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))
(/.f32 (-.f32 #s(literal 2307722558415121/10000000000000000 binary32) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32))) (-.f32 #s(literal 48038761/100000000 binary32) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)) #s(literal 2307722558415121/10000000000000000 binary32))) (neg.f32 (-.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 110860132438012536505081/1000000000000000000000000 binary32) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (-.f32 #s(literal 2307722558415121/10000000000000000 binary32) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)) #s(literal 2307722558415121/10000000000000000 binary32)) (-.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32)))
(/.f32 (+.f32 #s(literal 110860132438012536505081/1000000000000000000000000 binary32) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32))) (+.f32 #s(literal 2307722558415121/10000000000000000 binary32) (-.f32 (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))))))
(/.f32 (+.f32 #s(literal 110860132438012536505081/1000000000000000000000000 binary32) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32))) (+.f32 (-.f32 #s(literal 2307722558415121/10000000000000000 binary32) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32))) (/.f32 #s(literal 2307722558415121/10000000000000000 binary32) (-.f32 (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32))))
(-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (neg.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(fma.f32 (fabs.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fabs.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32) #s(literal 48038761/100000000 binary32)))
(fma.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32) #s(literal 48038761/100000000 binary32)))
(fma.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32))
(fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))
(fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32) #s(literal 48038761/100000000 binary32)))
(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) #s(literal 48038761/100000000 binary32))
(+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
(+.f32 (/.f32 (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32)) (+.f32 (-.f32 #s(literal 2307722558415121/10000000000000000 binary32) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (pow.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 110860132438012536505081/1000000000000000000000000 binary32) (+.f32 (-.f32 #s(literal 2307722558415121/10000000000000000 binary32) (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 48038761/100000000 binary32)))) (pow.f32 (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 2 binary32)))))
(+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32) #s(literal 48038761/100000000 binary32)))
(+.f32 (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 48038761/100000000 binary32))
(+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(*.f32 (neg.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32)) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(*.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)))
(/.f32 (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) v)
(/.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32))) (neg.f32 (pow.f32 v #s(literal 3 binary32))))
(/.f32 (pow.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 v) #s(literal 3 binary32)))
(/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (.f32 (/.f32 sinTheta_O v) sinTheta_i) (.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(fma.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))))
(pow.f32 (exp.f32 (log.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))
(+.f32 (.f32 (.f32 (/.f32 sinTheta_O v) sinTheta_i) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))))
(+.f32 (.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (.f32 (/.f32 sinTheta_O v) sinTheta_i)) (*.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) #s(literal 3 binary32)))

eval139.0ms (1.4%)

Memory: -23.5MiB live, 161.7MiB allocated; 19ms collecting garbage
Compiler: Compiled 73 891 to 4 632 computations (93.7% saved)

prune24.0ms (0.2%)

Memory

11.3MiB live, 57.7MiB allocated; 2ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	672	6	678
Fresh	0	5	5
Picked	2	3	5
Done	0	2	2
Total	674	16	690

Accuracy

100.0%

Counts

690 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.2%	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32))) #s(literal 2 binary32)) (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	84.2%	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) #s(approx (+ 0 (+ (pow (log ( 2 v)) 2) 0)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
✓	4.6%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
	3.2%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
	36.3%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
✓	91.3%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.5%	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.8%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))
✓	99.9%	(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	98.7%	(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
	11.9%	(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
	11.7%	(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	49.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 #s(approx (/ (pow (/ (+ ( sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))))))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
✓	99.9%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
	98.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))

Compiler

Compiled 1 748 to 755 computations (56.8% saved)

regimes71.0ms (0.7%)

Memory

-3.1MiB live, 141.4MiB allocated; 15ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (fma.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal -1 binary32) #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))
(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (neg.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 sinTheta_i)) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (.f32 (neg.f32 sinTheta_i) (-.f32 #s(approx (/ (+ ( cosTheta_O (/ cosTheta_i v)) (log (/ 1/2 v))) (neg sinTheta_i)) (.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (.f32 sinTheta_i cosTheta_O)) (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) (/.f32 (neg.f32 sinTheta_O) v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 #s(approx (/ (pow (/ (+ ( sinTheta_i sinTheta_O) 1) v) 3) (+ (* (/ (+ (* sinTheta_i sinTheta_O) 1) v) (+ (/ (+ (* sinTheta_i sinTheta_O) 1) v) 6931/10000)) 48038761/100000000)) (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 v #s(literal 3 binary32))) (+.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) #s(literal 0 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) #s(approx (+ 0 (+ (pow (log ( 2 v)) 2) 0)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32))) (.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6 binary32))) #s(literal 2 binary32)) (pow.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))

Outputs

#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))

Calls

9 calls:

11.0ms	cosTheta_i
10.0ms	(*.f32 cosTheta_i cosTheta_O)
9.0ms	v
7.0ms	sinTheta_O
7.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.9%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.9%	1	`cosTheta_i`
99.9%	1	`cosTheta_O`
99.9%	1	`sinTheta_i`
99.9%	1	`sinTheta_O`
99.9%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes27.0ms (0.3%)

Memory

22.2MiB live, 68.8MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))

Outputs

#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))

Calls

9 calls:

4.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	cosTheta_i
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
98.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes30.0ms (0.3%)

Memory

-25.5MiB live, 66.5MiB allocated; 8ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))

Outputs

(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))

Calls

9 calls:

6.0ms	sinTheta_O
5.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_O
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
98.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes27.0ms (0.3%)

Memory

-8.9MiB live, 48.1MiB allocated; 13ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))

Outputs

(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))

(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))

Calls

9 calls:

8.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	cosTheta_i
2.0ms	sinTheta_O
2.0ms	v
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
17.1%	2	`(*.f32 sinTheta_i sinTheta_O)`
16.8%	2	`(*.f32 cosTheta_i cosTheta_O)`
11.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
11.9%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
15.6%	2	`cosTheta_O`
11.9%	1	`sinTheta_i`
11.9%	1	`v`
11.9%	1	`cosTheta_i`
15.3%	2	`sinTheta_O`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes8.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))

Outputs
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
11.9%	1	`sinTheta_O`
11.9%	1	`cosTheta_O`
11.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
11.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 8 to 22 computations (-175% saved)

regimes18.0ms (0.2%)

Memory

-5.3MiB live, 39.5MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))

#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))

Outputs

#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))

Calls

9 calls:

2.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	sinTheta_i
2.0ms	cosTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
4.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
4.6%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
4.6%	1	`cosTheta_i`
4.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
4.6%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
4.6%	1	`cosTheta_O`
4.6%	1	`sinTheta_i`
4.6%	1	`v`
4.6%	1	`sinTheta_O`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes12.0ms (0.1%)

Memory

25.1MiB live, 25.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))

Outputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))

Calls

9 calls:

1.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	v
1.0ms	cosTheta_i
1.0ms	sinTheta_O
1.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
4.6%	1	`cosTheta_i`
4.6%	1	`cosTheta_O`
4.6%	1	`sinTheta_i`
4.6%	1	`sinTheta_O`
4.6%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
4.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
4.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
4.6%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
4.6%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes12.0ms (0.1%)

Memory

-14.1MiB live, 31.9MiB allocated; 4ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

Outputs
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

Calls

9 calls:

4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	sinTheta_i
1.0ms	cosTheta_i
1.0ms	cosTheta_O
1.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
3.2%	1	`cosTheta_i`
3.2%	1	`sinTheta_O`
3.2%	1	`cosTheta_O`
3.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
3.2%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
3.2%	1	`sinTheta_i`
3.2%	1	`v`
3.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
3.2%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`

Compiler

Compiled 60 to 78 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.973718080187748e-36	8.746173020839296e-36

Compiler

Compiled 28 to 29 computations (-3.6% saved)

simplify52.0ms (0.5%)

Memory

25.1MiB live, 71.5MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	281
1	149	277
2	322	271
3	831	267
4	3292	267

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(if (<=.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 11150373/5575186299632655785383929568162090376495104 binary32)) (exp.f32 #s(approx (+ ( (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))) (exp.f32 #s(approx (+ ( (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

Outputs
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (/ 1/2 v) (exp (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (*.f32 (/.f32 (exp.f32 #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(if (<=.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 11150373/5575186299632655785383929568162090376495104 binary32)) (exp.f32 #s(approx (+ ( (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))) (exp.f32 #s(approx (+ ( (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(if (<=.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 11150373/5575186299632655785383929568162090376495104 binary32)) (exp.f32 #s(approx (+ ( (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (.f32 cosTheta_O (/.f32 cosTheta_i v)))) (exp.f32 #s(approx (+ ( (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))))
(exp.f32 #s(approx (+ (* (log (* 2 v)) -1) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

derivations1.1s (10.3%)

Memory

28.0MiB live, 962.9MiB allocated; 124ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	34	62
1	137	57
2	1213	57
0	8896	55
0	56	343
0	86	295
1	392	291
2	3215	291
0	8127	291
0	92	689
0	131	648
1	572	493
0	4388	493
0	2570	36197
0	8391	34504
0	297	1633
1	996	1580
2	4269	1444
0	8288	1365
0	87	533
0	131	467
1	619	438
2	5205	438
0	8688	438
0	1088	7713
1	3975	7388
0	8983	6943
0	1638	12461
1	6004	12034
0	8119	11406

Stop Event

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

Compiler

Compiled 316 to 87 computations (72.5% saved)

preprocess70.0ms (0.7%)

Memory

2.3MiB live, 98.4MiB allocated; 9ms collecting garbage

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 886 to 372 computations (58% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze633.0ms (6.2%)

sample2.9s (28.9%)

explain274.0ms (2.7%)

preprocess207.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify188.0ms (1.8%)

localize78.0ms (0.8%)

series81.0ms (0.8%)

simplify139.0ms (1.4%)

rewrite212.0ms (2.1%)

eval69.0ms (0.7%)

prune6.0ms (0.1%)

simplify132.0ms (1.3%)

localize135.0ms (1.3%)

series171.0ms (1.7%)

simplify211.0ms (2.1%)

rewrite216.0ms (2.1%)

eval98.0ms (1%)

prune29.0ms (0.3%)

simplify214.0ms (2.1%)

localize210.0ms (2.1%)

series312.0ms (3.1%)

simplify248.0ms (2.4%)

rewrite178.0ms (1.7%)

eval197.0ms (1.9%)

prune25.0ms (0.2%)

simplify152.0ms (1.5%)

localize245.0ms (2.4%)

series442.0ms (4.3%)

simplify425.0ms (4.2%)

rewrite179.0ms (1.8%)

eval139.0ms (1.4%)

prune24.0ms (0.2%)

regimes71.0ms (0.7%)

regimes27.0ms (0.3%)

regimes30.0ms (0.3%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

simplify52.0ms (0.5%)

derivations1.1s (10.3%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling