Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

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

analyze423.0ms (4.1%)

Memory

27.2MiB live, 494.0MiB allocated; 78ms 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)

sample2.7s (26.4%)

Memory

56.6MiB live, 2 343.1MiB allocated; 560ms collecting garbage

Samples

2.1s	8 256×	0	valid
23.0ms	125×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

const: 449.0ms (24.9% of total)

ival-div: 332.0ms (18.4% of total)

ival-mult: 281.0ms (15.6% of total)

ival-<=: 252.0ms (14% of total)

ival-log: 134.0ms (7.4% of total)

ival-add: 111.0ms (6.2% of total)

ival-sub: 107.0ms (5.9% of total)

ival-exp: 60.0ms (3.3% of total)

ival-and: 53.0ms (2.9% of total)

exact: 16.0ms (0.9% of total)

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

adjust: 3.0ms (0.2% of total)

Bogosity

explain285.0ms (2.7%)

Memory

-1.1MiB live, 471.2MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	5	(0.006996733136475086 0.010723928920924664 4.196329561586035e-26 5.2131531464545e-36 6.994967485015463e-17)	32	(2.0975913741410127e-14 -3.1264373034911586e-11 -2.358075316275301e-32 -3.625075364671257e-14 8.825586949082719e-15)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
85	4	(7.191375129991432e-24 4.683312903986794e-32 -2.184417915395182e-20 -1.8214019145277856e-37 4.5961284778073264e-10)	30	(-2.793297654829239e-33 -1.314236480060016e-12 2.6804144681591424e-7 -1.5491286097774102e-32 1.0222112937060961e-35)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	0	-	1	(2.336961974748118e-24 -3.1402351562068176e-16 -8.440713409541247e-34 8.885922966328508e-7 1.2005630373874717e-30)	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
1	6	(5.588589978294681e-16 -2.2798356258402208e-10 -4.006731563368896e-32 -8.340848494132668e-23 0.0033658137544989586)	1	(2.267646070919227e-9 1.0386566628994842e-7 -4.790860416714615e-12 -7.698973053570809e-26 0.011455316096544266)	`(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 (.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	7	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	92
`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	6	4
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	6	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	87
`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	3
-	19	233

Precision

0.05

Recall

0.25

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	3	0
-	19	1	232

Precision?

0.16666666666666666

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

122.0ms

512×

valid

Compiler

Compiled 295 to 67 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 17.0ms (27.2% of total)

ival-mult: 12.0ms (19.2% of total)

ival-log: 8.0ms (12.8% of total)

const: 8.0ms (12.8% of total)

ival-add: 7.0ms (11.2% of total)

ival-exp: 5.0ms (8% of total)

ival-sub: 5.0ms (8% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess195.0ms (1.9%)

Memory

36.0MiB live, 223.0MiB allocated; 19ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(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

▶

99.3%

(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)

simplify235.0ms (2.3%)

Memory

-110.1MiB live, 201.0MiB allocated; 97ms 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)

localize74.0ms (0.7%)

Memory

-2.0MiB live, 98.5MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0801701638908477	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	0.12861675457169186	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	7.337943276204039	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	7.452086485472212	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

40.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 7.0ms (24.2% of total)

ival-sub: 6.0ms (20.8% of total)

ival-mult: 5.0ms (17.3% of total)

const: 4.0ms (13.8% of total)

ival-log: 3.0ms (10.4% of total)

ival-exp: 2.0ms (6.9% of total)

ival-add: 2.0ms (6.9% 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)

series85.0ms (0.8%)

Memory

-5.5MiB live, 135.9MiB allocated; 24ms 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
30.0ms	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))))
19.0ms	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))))
12.0ms	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))))

simplify140.0ms (1.3%)

Memory

19.7MiB live, 152.7MiB allocated; 15ms 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))
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(+ (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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(/ (* cosTheta_O cosTheta_i) v)
(*.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)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v)) cosTheta_i)
(* 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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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i 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))) (+ (/ 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)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) (/.f32 cosTheta_i v)) cosTheta_O)
(* 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)))))
(fma.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_O) cosTheta_O (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O cosTheta_O) cosTheta_i) v) cosTheta_O)
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(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
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(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(exp (- (+ 6931/10000 (+ (log (/ 1/2 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)))))
(*.f32 (neg.f32 sinTheta_O) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) sinTheta_i) v))
(/ (- (* 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)
(/ (- (+ (* 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)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(+ (log 1/2) (* -1 (log v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
6931/10000
#s(literal 6931/10000 binary32)
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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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)))

rewrite223.0ms (2.1%)

Memory

16.2MiB live, 259.5MiB allocated; 46ms 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)))

eval48.0ms (0.5%)

Memory: 19.3MiB live, 64.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 11 199 to 1 561 computations (86.1% saved)

prune31.0ms (0.3%)

Memory

-4.9MiB live, 33.8MiB allocated; 4ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	249	10	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	10	260

Accuracy

99.8%

Counts

260 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.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))
	85.0%	(/.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))))
	50.5%	(.f32 (exp.f32 (/.f32 (pow.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 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))))
▶	99.3%	(exp.f32 (+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
▶	99.7%	(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)) (/.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))))))
	99.3%	(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)))))
	99.3%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 (fma.f32 (neg.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) sinTheta_O (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))) v)) v) sinTheta_i)))
	99.3%	#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))))
▶	99.3%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))

Compiler

Compiled 882 to 548 computations (37.9% saved)

simplify170.0ms (1.6%)

Memory

13.6MiB live, 229.2MiB allocated; 73ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.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)) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
cost-diff	0	(+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
cost-diff	1	(exp.f32 (+.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)) #s(literal 48038761/100000000 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))) (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	(/.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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))
cost-diff	1	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
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))
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	2	(+.f32 #s(literal 0 binary32) (log.f32 (*.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	3	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
cost-diff	8	(/.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))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	601
0	105	613
1	198	550
2	483	519
3	1709	509
0	9448	509

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)) (/.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 (-.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 #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 (-.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)
(/.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 #s(literal 0 binary32) (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))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 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)
#s(literal 1/2 binary32)
v
(exp.f32 #s(literal 6931/10000 binary32))
#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 (+.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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
(*.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)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
(exp.f32 (+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(/.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)) (-.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 (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))
(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 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 2 binary32)
#s(literal 48038761/100000000 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))
#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)

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)) (/.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 #s(literal 1/2 binary32) v) (exp.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 (+.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 #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 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)))
(+.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (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 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
v
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.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)
(/.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))))
(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 2 binary32)))
(neg.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))
(log.f32 (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))
(log.f32 (*.f32 #s(literal 2 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))))
#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)
(/.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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_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 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
(.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(*.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)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1 binary32)
(exp.f32 (+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(.f32 (exp.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)) #s(literal 48038761/100000000 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 #s(literal 1/2 binary32) v))
(+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
(+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/.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)) (-.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 (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))
(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 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 2 binary32)
#s(literal 48038761/100000000 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))
#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)

localize187.0ms (1.8%)

Memory

14.5MiB live, 256.8MiB allocated; 54ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07656397481682752	(exp.f32 (+.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)) #s(literal 48038761/100000000 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))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
accuracy	0.12861675457169186	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.21875	(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 2 binary32))
accuracy	13.869803804186478	(/.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)) (-.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
accuracy	0.01171875	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
accuracy	0.06546343608212726	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
accuracy	0.1589479157777737	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
accuracy	0.37109375	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.01171875	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
accuracy	0.025482663890847707	(/.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	0.0390625	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
accuracy	0.0635672375384935	(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	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.37109375	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	30.5180692500965	#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	0.5358200195368841	(/.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))))
accuracy	0.54296875	(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
accuracy	7.337943276204039	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	7.452086485472212	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

143.0ms

256×

valid

Compiler

Compiled 599 to 55 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

const: 38.0ms (35.4% of total)

ival-div: 17.0ms (15.8% of total)

ival-mult: 12.0ms (11.2% of total)

ival-exp: 11.0ms (10.2% of total)

ival-sub: 10.0ms (9.3% of total)

ival-add: 9.0ms (8.4% of total)

ival-log: 5.0ms (4.7% of total)

ival-pow2: 5.0ms (4.7% 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)

series291.0ms (2.8%)

Memory

-13.3MiB live, 267.9MiB allocated; 103ms collecting garbage

Counts

26 → 286

Calls

Call 1

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

Outputs
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* 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))))
(- 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))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4))))))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i)))) (pow v 2))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O 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))))
(* 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))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (* 48038761/100000000 (/ v (* cosTheta_O (pow cosTheta_i 2))))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* -1 (/ (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) cosTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2)))) (pow cosTheta_i 3))) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v))))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (* 48038761/100000000 (/ v (* cosTheta_O (pow cosTheta_i 2))))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* cosTheta_O (pow cosTheta_i 2))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_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 (/ (- (+ (log (/ 1/2 v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) 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)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (+ (* -48038761/100000000 (/ v cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (+ (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i)))) (+ (* -48038761/100000000 (/ v cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(+ (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))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4))))))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (* 48038761/100000000 (/ v (* (pow cosTheta_O 2) cosTheta_i)))))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* -1 (/ (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2)))) (pow cosTheta_O 3))) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v))))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (* 48038761/100000000 (/ v (* (pow cosTheta_O 2) cosTheta_i)))))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* (pow cosTheta_O 2) cosTheta_i)))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O 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 (/ (- (+ (log (/ 1/2 v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_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)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (+ (* -48038761/100000000 (/ v cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (+ (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i)))) (+ (* -48038761/100000000 (/ v cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* sinTheta_O sinTheta_i) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
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(* 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)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* -48038761/100000000 (/ v (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (+ (* -1 (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_O 2)))) (pow sinTheta_i 3))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* -48038761/100000000 (/ v (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* 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)))))
(* -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)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (+ (* 48038761/100000000 (/ v sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)))) (+ (* 48038761/100000000 (/ v sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (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))))))
(+ (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))))))))
(+ (* 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 (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (+ (* -1 (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 3)) (* (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(- (+ (log (/ 1/2 v)) (+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (log (/ 1/2 v)) (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (log (/ 1/2 v)) (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (+ (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4))))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(* 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)))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* -48038761/100000000 (/ v (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (+ (* -1 (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_i 2)))) (pow sinTheta_O 3))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* -48038761/100000000 (/ v (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* 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)))))
(* -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)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (+ (* 48038761/100000000 (/ v sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)))) (+ (* 48038761/100000000 (/ v sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* -1 (+ (log 2) (log v)))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(+ (log 2) (log v))
(* 1/2 (/ (exp 6931/10000) v))
(/ 1/2 v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(pow (+ (log 2) (log v)) 2)
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(+ (log 1/2) (* -1 (log v)))
(* -1 (+ (log 2) (* -1 (log (/ 1 v)))))
(+ (log 2) (* -1 (log (/ 1 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))))
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))))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) 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))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (pow v 3)) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+ 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)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 3)))))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4)) (* 1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (pow v 4)))))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))))))
(pow (+ (log 2) (* -1 (log (/ 1 v)))) 2)
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+ (log 1/2) (log (/ 1 v)))
(* -1 (+ (log -2) (* -1 (log (/ -1 v)))))
(* -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))
(+ (log -2) (* -1 (log (/ -1 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) (- (* 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)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_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 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)))) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 2))) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 3))) (+ (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 3))) (* sinTheta_O sinTheta_i)))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 2))) (+ (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)))))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (/ (* (- (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))

Calls

15 calls:

Time	Variable		Point	Expression
96.0ms	v	@	0	((/ (- 0 (pow (log (* 2 v)) 2)) (+ 0 (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (+ 0 (log (* 2 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) (+ (+ 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)) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_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 (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (pow (log (* 2 v)) 2) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) (log (/ 1 (* 2 v))))
35.0ms	v	@	-inf	((/ (- 0 (pow (log (* 2 v)) 2)) (+ 0 (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (+ 0 (log (* 2 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) (+ (+ 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)) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_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 (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (pow (log (* 2 v)) 2) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) (log (/ 1 (* 2 v))))
30.0ms	sinTheta_i	@	inf	((/ (- 0 (pow (log (* 2 v)) 2)) (+ 0 (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (+ 0 (log (* 2 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) (+ (+ 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)) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_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 (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (pow (log (* 2 v)) 2) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) (log (/ 1 (* 2 v))))
26.0ms	v	@	inf	((/ (- 0 (pow (log (* 2 v)) 2)) (+ 0 (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (+ 0 (log (* 2 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) (+ (+ 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)) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_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 (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (pow (log (* 2 v)) 2) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) (log (/ 1 (* 2 v))))
15.0ms	cosTheta_i	@	0	((/ (- 0 (pow (log (* 2 v)) 2)) (+ 0 (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (+ 0 (log (* 2 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) (+ (+ 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)) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_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 (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (pow (log (* 2 v)) 2) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ (- (* cosTheta_O cosTheta_i) 1) v) (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) (log (/ 1 (* 2 v))))

simplify237.0ms (2.3%)

Memory

21.4MiB live, 245.8MiB allocated; 32ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2025	21504
1	7240	21239
0	8563	20110

Stop Event

1×	iter limit
1×	node limit

Counts

286 → 286

Calls

Call 1

Inputs
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* 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))))
(- 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))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
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(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
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(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4))))))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i)))) (pow v 2))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O 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))))
(* 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))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (* 48038761/100000000 (/ v (* cosTheta_O (pow cosTheta_i 2))))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* -1 (/ (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) cosTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2)))) (pow cosTheta_i 3))) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v))))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (* 48038761/100000000 (/ v (* cosTheta_O (pow cosTheta_i 2))))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* cosTheta_O (pow cosTheta_i 2))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_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 (/ (- (+ (log (/ 1/2 v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) 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)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (+ (* -48038761/100000000 (/ v cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (+ (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i)))) (+ (* -48038761/100000000 (/ v cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(+ (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))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4))))))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (* 48038761/100000000 (/ v (* (pow cosTheta_O 2) cosTheta_i)))))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* -1 (/ (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2)))) (pow cosTheta_O 3))) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v))))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (* 48038761/100000000 (/ v (* (pow cosTheta_O 2) cosTheta_i)))))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* (pow cosTheta_O 2) cosTheta_i)))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O 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 (/ (- (+ (log (/ 1/2 v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_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)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (+ (* -48038761/100000000 (/ v cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (+ (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i)))) (+ (* -48038761/100000000 (/ v cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* sinTheta_O sinTheta_i) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
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(* 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)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* -48038761/100000000 (/ v (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (+ (* -1 (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_O 2)))) (pow sinTheta_i 3))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* -48038761/100000000 (/ v (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* 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)))))
(* -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)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (+ (* 48038761/100000000 (/ v sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)))) (+ (* 48038761/100000000 (/ v sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (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))))))
(+ (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))))))))
(+ (* 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 (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (+ (* -1 (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 3)) (* (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(- (+ (log (/ 1/2 v)) (+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (log (/ 1/2 v)) (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (log (/ 1/2 v)) (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (+ (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4))))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(- (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(* 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)))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* -48038761/100000000 (/ v (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (+ (* -1 (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_i 2)))) (pow sinTheta_O 3))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* -48038761/100000000 (/ v (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* 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)))))
(* -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)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (+ (* 48038761/100000000 (/ v sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)))) (+ (* 48038761/100000000 (/ v sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* -1 (+ (log 2) (log v)))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(+ (log 2) (log v))
(* 1/2 (/ (exp 6931/10000) v))
(/ 1/2 v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(pow (+ (log 2) (log v)) 2)
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(+ (log 1/2) (* -1 (log v)))
(* -1 (+ (log 2) (* -1 (log (/ 1 v)))))
(+ (log 2) (* -1 (log (/ 1 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))))
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))))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) 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))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (pow v 3)) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+ 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)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 3)))))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (* -1 (/ (+ (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4)) (* 1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (pow v 4)))))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))))))
(pow (+ (log 2) (* -1 (log (/ 1 v)))) 2)
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+ (log 1/2) (log (/ 1 v)))
(* -1 (+ (log -2) (* -1 (log (/ -1 v)))))
(* -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))
(+ (log -2) (* -1 (log (/ -1 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) (- (* 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)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_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 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)))) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 2))) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 3))) (+ (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 3))) (* sinTheta_O sinTheta_i)))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 2))) (+ (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)))))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (/ (* (- (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))

Outputs
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.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))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O 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))) (.f32 v v))) #s(literal 1/2 binary32) (.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_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 (/.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))))
(- 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 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (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 (/.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))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
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(neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(fma.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) (.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) cosTheta_i (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
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(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (*.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 cosTheta_O cosTheta_O)) (.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 -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 -1 binary32) v)) v))) cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i)))) (pow v 2))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) cosTheta_O) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 v v))
(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i (.f32 #s(literal -2 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O))) (.f32 v v)) cosTheta_i (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)))
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))
(*.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i) #s(literal -1 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 (fma.f32 (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) #s(literal -1 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(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)))
(* 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 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v)) 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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #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_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (.f32 v v))) (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (/.f32 cosTheta_O v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i))) cosTheta_i)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (* 48038761/100000000 (/ v (* cosTheta_O (pow cosTheta_i 2))))))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))) (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) (.f32 cosTheta_i cosTheta_i)) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i)) (.f32 (/.f32 v (.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O)) #s(literal 48038761/100000000 binary32)))) cosTheta_i)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* -1 (/ (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) cosTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2)))) (pow cosTheta_i 3))) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v))))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (* 48038761/100000000 (/ v (* cosTheta_O (pow cosTheta_i 2))))))))
(.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 v v)) (.f32 cosTheta_O cosTheta_O)) #s(literal 48038761/100000000 binary32) (neg.f32 (/.f32 (.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) (-.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) v) (neg.f32 (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_O))))) cosTheta_O))) (pow.f32 cosTheta_i #s(literal 3 binary32))) #s(literal -1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v)))) (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) (.f32 cosTheta_i cosTheta_i)) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i)) (.f32 (/.f32 v (.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_O)) #s(literal 48038761/100000000 binary32)))) cosTheta_i)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(*.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (/.f32 cosTheta_O v)) (neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i))) cosTheta_i)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* cosTheta_O (pow cosTheta_i 2))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (.f32 cosTheta_i cosTheta_i)) (/.f32 cosTheta_O v))) (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i)))) cosTheta_i)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (/.f32 cosTheta_O v)) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_O)) (neg.f32 (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_O)))) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (pow.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (/.f32 v cosTheta_O) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (.f32 cosTheta_i cosTheta_i))))) (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) (.f32 cosTheta_i cosTheta_i)) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i)))) cosTheta_i)
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -1 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(*.f32 (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v)) cosTheta_i)
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (.f32 v v)) #s(literal -2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v))) (.f32 cosTheta_i cosTheta_i))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (.f32 v v)) #s(literal -2 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_O (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_i))) (.f32 v v))) (.f32 cosTheta_i cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i)) v) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(neg.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (+ (* -48038761/100000000 (/ v cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) v)) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) v (.f32 #s(literal -48038761/100000000 binary32) v)) cosTheta_O)) cosTheta_i))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (+ (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i)))) (+ (* -48038761/100000000 (/ v cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) v) #s(literal -1 binary32) (fma.f32 (.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_O)) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i)) #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) (-.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) v)) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_O)))) (.f32 cosTheta_O cosTheta_i)))) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) v (*.f32 #s(literal -48038761/100000000 binary32) v)) cosTheta_O)) cosTheta_i))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_O))) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_O))) cosTheta_i))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_O)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (neg.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_O))) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_O))) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) cosTheta_i) (neg.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_O)))) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_O))) cosTheta_i))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) cosTheta_i))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) (.f32 v v)) #s(literal 2 binary32) (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_i) (.f32 v v)))) cosTheta_i) #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v))) (*.f32 cosTheta_i cosTheta_i))
(+ (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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.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_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))) cosTheta_O (/.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_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 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i 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))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (/.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)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) 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))) cosTheta_O (/.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))))
(+ (* 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 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))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (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_O (*.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_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 (fma.f32 (fma.f32 (.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)))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (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_O (.f32 (.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))) #s(literal 1/2 binary32))) cosTheta_O (*.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)))) (* 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 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (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_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v))) cosTheta_O (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 (fma.f32 (fma.f32 (.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))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (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_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))) cosTheta_O (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O (.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
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(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
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(+ (* -1 (/ (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) (.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) cosTheta_i) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (neg.f32 (.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) (.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))) cosTheta_O (.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) (.f32 v v)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))) (.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) cosTheta_O (neg.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) #s(literal 1/2 binary32))) cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (exp.f32 (/.f32 #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 -1 binary32) v)) v))) cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(fma.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O (.f32 #s(literal -2 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i))) (.f32 v v)) cosTheta_O (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)))
(* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))
(*.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_O) #s(literal -1 binary32) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 (fma.f32 (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) #s(literal -1 binary32) (/.f32 cosTheta_i v)) cosTheta_O)
(* 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 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v)) cosTheta_O)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -2 binary32) (/.f32 cosTheta_i v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (* 48038761/100000000 (/ v (* (pow cosTheta_O 2) cosTheta_i)))))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -2 binary32) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O))) (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_O)) (.f32 (/.f32 v (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i)) #s(literal 48038761/100000000 binary32)))) cosTheta_O)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* -1 (/ (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2)))) (pow cosTheta_O 3))) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v))))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (+ (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (* 48038761/100000000 (/ v (* (pow cosTheta_O 2) cosTheta_i)))))))
(.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 v v)) (.f32 cosTheta_i cosTheta_i)) #s(literal 48038761/100000000 binary32) (neg.f32 (/.f32 (.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) (-.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_i) v) (neg.f32 (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i))))) cosTheta_i))) (pow.f32 cosTheta_O #s(literal 3 binary32))) #s(literal -1 binary32) (+.f32 (+.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (/.f32 cosTheta_i v)))) (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_O)) (.f32 (/.f32 v (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i)) #s(literal 48038761/100000000 binary32)))) cosTheta_O)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(*.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -2 binary32) (/.f32 cosTheta_i v)) (neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_O))) cosTheta_O)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* (pow cosTheta_O 2) cosTheta_i)))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -2 binary32) (fma.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_i) (/.f32 cosTheta_i v))) (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_O)))) cosTheta_O)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -2 binary32) (/.f32 cosTheta_i v)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_i)) (neg.f32 (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i))))) (pow.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 (.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) v) (.f32 cosTheta_O cosTheta_O))) cosTheta_i)) (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_O)))) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O) v) #s(literal -1 binary32) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(*.f32 (-.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O)
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) cosTheta_O) (.f32 v v)) #s(literal -2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v))) (.f32 cosTheta_O cosTheta_O))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) cosTheta_O) (.f32 v v)) #s(literal -2 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_i (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_O))) (.f32 v v))) (.f32 cosTheta_O cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_O)) v) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(neg.f32 (.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) v) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(neg.f32 (*.f32 (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))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (+ (* -48038761/100000000 (/ v cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_i) v)) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) v (.f32 #s(literal -48038761/100000000 binary32) v)) cosTheta_i)) cosTheta_O))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (+ (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i)))) (+ (* -48038761/100000000 (/ v cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_i) v) #s(literal -1 binary32) (fma.f32 (/.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (.f32 v v)) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O)) #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) (-.f32 (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_i) v)) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i)))) (.f32 cosTheta_O cosTheta_i)))) (/.f32 (fma.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) v (.f32 #s(literal -48038761/100000000 binary32) v)) cosTheta_i)) cosTheta_O))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_i))) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i))) cosTheta_O))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (* v (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)) 48038761/100000000)) cosTheta_i)) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (neg.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) v) (/.f32 (.f32 (.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) v) (-.f32 (neg.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) cosTheta_i))) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i)))) cosTheta_O)) cosTheta_i) (.f32 v (/.f32 (.f32 (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (+.f32 #s(literal -6931/10000 binary32) (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))) cosTheta_i))) cosTheta_O))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_O) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(neg.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) v) cosTheta_O))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) (.f32 v v)) #s(literal 2 binary32) (neg.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 2 binary32)) cosTheta_O) (.f32 v v)))) cosTheta_O) #s(literal -1 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v))) (*.f32 cosTheta_O cosTheta_O))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) sinTheta_O) sinTheta_i (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32))) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O sinTheta_i))) 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 (/.f32 (.f32 (.f32 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))))) v) #s(literal -1 binary32) (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) (neg.f32 (*.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))))))))
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(fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (neg.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (neg.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))))) v) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (neg.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v))) (neg.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))))) sinTheta_i (/.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)))) (neg.f32 (.f32 (/.f32 sinTheta_O v) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (pow.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) sinTheta_O) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 v v))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(fma.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i (.f32 #s(literal -2 binary32) (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O))) (.f32 v v)) sinTheta_i (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 v v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(.f32 (-.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) (/.f32 sinTheta_O v)) sinTheta_i)
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(.f32 (-.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)) (/.f32 sinTheta_O v)) sinTheta_i)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) (/.f32 sinTheta_O v))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i))) (neg.f32 (/.f32 sinTheta_O v))) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* -48038761/100000000 (/ v (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))) (neg.f32 (/.f32 sinTheta_O v))) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal -48038761/100000000 binary32) v)) (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O)) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (+ (* -1 (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_O 2)))) (pow sinTheta_i 3))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* -48038761/100000000 (/ v (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(.f32 (-.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (.f32 sinTheta_O sinTheta_O)) #s(literal -48038761/100000000 binary32) (neg.f32 (.f32 v (/.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) v) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))) (pow.f32 sinTheta_i #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))))) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal -48038761/100000000 binary32) v)) (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O)) (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v)))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 (-.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))))) (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(.f32 (-.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1 binary32) (fma.f32 (.f32 (/.f32 v sinTheta_O) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (.f32 sinTheta_i sinTheta_i))) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v)))))) (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v) (neg.f32 (.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 sinTheta_i sinTheta_i)))))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 v sinTheta_O) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) (.f32 sinTheta_i sinTheta_i))))) (+.f32 (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) v) #s(literal 2 binary32) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_O)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (pow.f32 sinTheta_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))))) (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i v) (neg.f32 (.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i sinTheta_i)))))) sinTheta_i)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_O (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i)) v) sinTheta_i)
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) sinTheta_i) (.f32 v v)) #s(literal -2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) sinTheta_i) (.f32 v v)) #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_O (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(neg.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (*.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i 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)))))
(neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) sinTheta_i)) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (+ (* 48038761/100000000 (/ v sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) v) (/.f32 (fma.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 48038761/100000000 binary32) v)) sinTheta_O)) sinTheta_i) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)))) (+ (* 48038761/100000000 (/ v sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) #s(literal -48038761/100000000 binary32) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) v) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) v))) (/.f32 (fma.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 48038761/100000000 binary32) v)) sinTheta_O)) sinTheta_i) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_O)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O))) sinTheta_i) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_O)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_O)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_O)))) sinTheta_i) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)) sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) (.f32 v v)) #s(literal 2 binary32) (neg.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_i) (.f32 v v)))) sinTheta_i) #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))) (*.f32 sinTheta_i sinTheta_i))
(+ (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))))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (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) (neg.f32 (*.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)))) sinTheta_O (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_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))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 sinTheta_i 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)))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (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_O (neg.f32 (*.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)))) sinTheta_O (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 (/ (* 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))))))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) v) #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O))) (neg.f32 (/.f32 sinTheta_i v))) (.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))) sinTheta_O)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* -48038761/100000000 (/ v (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v)) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) v) #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)))) (neg.f32 (/.f32 sinTheta_i v))) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal -48038761/100000000 binary32) v)) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)))) sinTheta_O)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (+ (* -1 (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_i 2)))) (pow sinTheta_O 3))) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* -48038761/100000000 (/ v (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32) (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (.f32 sinTheta_i sinTheta_i)) #s(literal -48038761/100000000 binary32) (neg.f32 (.f32 v (/.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_i) v) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))) (pow.f32 sinTheta_O #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v)) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) v) #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v))) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)))))) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal -48038761/100000000 binary32) v)) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)))) sinTheta_O)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) v) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v))))) (.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v))) sinTheta_O)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(.f32 (-.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32) (fma.f32 (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_i)) #s(literal -1 binary32) (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) v) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))) (fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v) (neg.f32 (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i))))) sinTheta_O)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(.f32 (-.f32 (+.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_i)))) (+.f32 (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O) v) #s(literal 2 binary32) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) (fma.f32 (/.f32 v (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_i)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v))))) (fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v) (neg.f32 (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i))))) sinTheta_O)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_O)) v) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) sinTheta_O) (.f32 v v)) #s(literal -2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(.f32 (fma.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) sinTheta_O) (.f32 v v)) #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_i (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (.f32 sinTheta_O sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(neg.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (*.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i 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)))))
(neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) sinTheta_O)) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (+ (* 48038761/100000000 (/ v sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 (/.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_i) v) (/.f32 (fma.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 48038761/100000000 binary32) v)) sinTheta_i)) sinTheta_O) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)))) (+ (* 48038761/100000000 (/ v sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O)) #s(literal -48038761/100000000 binary32) (fma.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_i) v) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_i) v))) (/.f32 (fma.f32 (.f32 v (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 48038761/100000000 binary32) v)) sinTheta_i)) sinTheta_O) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_i)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i))) sinTheta_O) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)) 48038761/100000000)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) v (/.f32 (.f32 (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) v) (-.f32 (.f32 v (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 48038761/100000000 binary32)) sinTheta_i)) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i)))) sinTheta_O)) sinTheta_i) (.f32 v (/.f32 (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) sinTheta_i))) sinTheta_O) #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 1 binary32)) v)) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (.f32 (fma.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) sinTheta_i) (.f32 v v)) #s(literal 2 binary32) (neg.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) sinTheta_O) (.f32 v v)))) sinTheta_O) #s(literal -1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))) (*.f32 sinTheta_O sinTheta_O))
(* -1 (+ (log 2) (log v)))
(neg.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 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) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
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(* 1/2 (/ (exp 6931/10000) v))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
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(pow (+ (log 2) (log v)) 2)
(pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 v v))
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(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))
(* -1 (+ (log 2) (* -1 (log (/ 1 v)))))
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(fma.f32 (neg.f32 (log.f32 v)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(+ (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))))
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6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
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(/ (+ (* 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)
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(/ (+ (* 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)
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
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(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
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(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
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(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
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(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 2))) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (neg.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32))) (.f32 v v))) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 3))) (+ (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 3))) (* sinTheta_O sinTheta_i)))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 2))) (+ (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 (-.f32 (+.f32 (+.f32 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 4 binary32)) #s(literal 0 binary32)) (pow.f32 v #s(literal 3 binary32))) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) (+.f32 (/.f32 (.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32)) (.f32 v v)) (*.f32 cosTheta_O cosTheta_i))) v) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))
(fma.f32 (/.f32 (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))
(fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 sinTheta_O sinTheta_i (neg.f32 (/.f32 (fma.f32 #s(literal -10000/6931 binary32) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal -10000/6931 binary32) (.f32 (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) v))) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (/ (* (- (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) (* 10000/6931 (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)))
(fma.f32 (/.f32 (-.f32 (+.f32 (fma.f32 sinTheta_O sinTheta_i (neg.f32 (/.f32 (-.f32 (fma.f32 (.f32 (fma.f32 #s(literal -10000/6931 binary32) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal -10000/6931 binary32) (.f32 (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 10000/6931 binary32) (.f32 #s(literal -10000/6931 binary32) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (.f32 #s(literal 10000/6931 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)))) v))) #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -1 binary32) #s(literal 6931/10000 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))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) v) #s(literal -1/2 binary32) (neg.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v) #s(literal -1 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v) #s(literal -1 binary32) (neg.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)))) v) #s(literal -1 binary32) #s(literal 1 binary32))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))

rewrite179.0ms (1.7%)

Memory

16.6MiB live, 207.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	366
0	98	299
1	393	268
2	3328	268
0	8289	268

Stop Event

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

Counts

26 → 991

Calls

Call 1

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

Outputs
(log.f32 (pow.f32 (exp.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))))
(log.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(.f32 (neg.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (neg.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(.f32 (fabs.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (fabs.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (fabs.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (pow.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (pow.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)))
(.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal -1 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))
(.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (fabs.f32 (log.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (fabs.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32)))) (fabs.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (log.f32 (pow.f32 v (log.f32 #s(literal 2 binary32))))))))
(/.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6 binary32))) (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 5 binary32))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 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)) (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (log.f32 (pow.f32 v (log.f32 #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 4 binary32)) (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 4 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 5 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (log.f32 (.f32 v #s(literal 2 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 v v) (.f32 v v))) (log.f32 (-.f32 v v)))
(-.f32 (log.f32 (+.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (log.f32 (fma.f32 v v (-.f32 (.f32 v v) (.f32 v v)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 v))
(-.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32)))
(-.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 (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 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(fma.f32 (neg.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (neg.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (fabs.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
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(/.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 v v))
(/.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 v v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 v v)) (/.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 v #s(literal 3 binary32)))) (.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v) (fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32)))))
(/.f32 (.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 v #s(literal 3 binary32))) (/.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 v v))) (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32))) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
(/.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) #s(literal 1 binary32)) (pow.f32 v #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 2 binary32))) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(pow.f32 (neg.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))
(pow.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 1 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))
(fabs.f32 (neg.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))))
(fabs.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 (cosh.f32 (log.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)))) (sinh.f32 (log.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)))))
(exp.f32 (.f32 (log.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 1 binary32)))
(exp.f32 (log.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))))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))))
(log.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(.f32 (neg.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (neg.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(.f32 (fabs.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (fabs.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (fabs.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (pow.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (pow.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)))
(.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal -1 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 #s(literal 1 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))
(.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))
(.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(sqrt.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (fabs.f32 (log.f32 (/.f32 #s(literal 2 binary32) v))))
(/.f32 (fabs.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32)))) (fabs.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (log.f32 (pow.f32 v (log.f32 #s(literal 2 binary32))))))))
(/.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6 binary32))) (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 5 binary32))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 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)) (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (log.f32 (pow.f32 v (log.f32 #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 4 binary32)) (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 4 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 6 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 5 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (log.f32 (.f32 v #s(literal 2 binary32))))
(-.f32 (log.f32 (-.f32 (.f32 v v) (.f32 v v))) (log.f32 (-.f32 v v)))
(-.f32 (log.f32 (+.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (log.f32 (fma.f32 v v (-.f32 (.f32 v v) (.f32 v v)))))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 v))
(-.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32)))
(-.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 (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 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(fma.f32 (neg.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (neg.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (fabs.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (fabs.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (sqrt.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(fma.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 0 binary32))
(pow.f32 (sqrt.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(fabs.f32 (-.f32 (log.f32 v) (-.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32)))))
(fabs.f32 (-.f32 (log.f32 (neg.f32 v)) (log.f32 #s(literal -1/2 binary32))))
(fabs.f32 (-.f32 (log.f32 (*.f32 #s(literal -2 binary32) v)) (log.f32 #s(literal -1 binary32))))
(fabs.f32 (-.f32 (log.f32 v) (log.f32 #s(literal 1/2 binary32))))
(fabs.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(+.f32 (log.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(+.f32 (cosh.f32 (log.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (sinh.f32 (log.f32 (log.f32 (.f32 v #s(literal 2 binary32))))))
(+.f32 (+.f32 #s(literal 0 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 v))
(+.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)))
(+.f32 (/.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (log.f32 (.f32 v #s(literal 2 binary32))))
(+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal 0 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(exp.f32 (log.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))
(neg.f32 (log.f32 (neg.f32 (*.f32 #s(literal -2 binary32) v))))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))

eval135.0ms (1.3%)

Memory: 11.4MiB live, 193.1MiB allocated; 22ms collecting garbage
Compiler: Compiled 55 998 to 5 211 computations (90.7% saved)

prune39.0ms (0.4%)

Memory

-39.2MiB live, 60.8MiB allocated; 36ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	930	9	939
Fresh	3	2	5
Picked	5	0	5
Done	0	0	0
Total	938	11	949

Accuracy

99.9%

Counts

949 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f32 (/.f32 (exp.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)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 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 #s(literal 2 binary32) v))
▶	99.4%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.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 #s(literal 2 binary32) v))
	50.4%	(/.f32 (.f32 (exp.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)) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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)) #s(literal 48038761/100000000 binary32))))) (*.f32 #s(literal 2 binary32) v))
	50.5%	(.f32 (exp.f32 (/.f32 (pow.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 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))))
	99.7%	(exp.f32 (-.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)) (log.f32 (.f32 v #s(literal 2 binary32)))))
	46.1%	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) cosTheta_i) v) #s(literal -2 binary32) (/.f32 cosTheta_O v)) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (neg.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) cosTheta_i))) cosTheta_i)))
▶	99.2%	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))))
	99.3%	#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)))))
▶	10.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (+.f32 v v) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.3%	#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) (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))
▶	99.7%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))

Compiler

Compiled 1 118 to 652 computations (41.7% saved)

simplify149.0ms (1.4%)

Memory

43.2MiB live, 129.4MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 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))))) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))
cost-diff	1	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
cost-diff	1	(.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
cost-diff	0	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))))
cost-diff	1	(fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v)))
cost-diff	2	(neg.f32 (*.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i))
cost-diff	7	(-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
cost-diff	0	(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)))
cost-diff	0	(exp.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))))
cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) (exp.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 #s(literal 2 binary32) v))
cost-diff	3	(/.f32 #s(literal 1 binary32) (exp.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)))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(+.f32 v v)
cost-diff	0	(*.f32 (+.f32 v 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 v v) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff	0	(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)
cost-diff	0	(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	717
0	130	688
1	259	676
2	621	665
3	2365	623
0	8301	616

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

localize870.0ms (8.4%)

Memory

-136.5MiB live, 232.1MiB allocated; 1.2s collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
accuracy	0.06546343608212726	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
accuracy	0.1589479157777737	(.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
accuracy	3.0169205858364574	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
accuracy	0.12861675457169186	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.14453125	(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i)
accuracy	0.31563688387154387	(-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
accuracy	15.051386014573422	(*.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 #s(literal -6931/10000 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) cosTheta_i) #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)
accuracy	0.025482663890847707	(/.f32 (/.f32 #s(literal 1 binary32) (exp.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 #s(literal 2 binary32) v))
accuracy	0.0390625	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
accuracy	0.07103648458526954	(exp.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))))
accuracy	0.08213101455695136	(/.f32 #s(literal 1 binary32) (exp.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)))))
accuracy	0.0	(+.f32 v v)
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.33984375	(*.f32 (+.f32 v v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	28.615848345924476	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (+.f32 v v) (exp.f32 #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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))
accuracy	0.029388913890847707	(/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)
accuracy	0.04296875	(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
accuracy	0.0635672375384935	(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))

Samples

175.0ms

256×

valid

Compiler

Compiled 625 to 77 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-add: 31.0ms (24% of total)

ival-div: 25.0ms (19.3% of total)

ival-mult: 25.0ms (19.3% of total)

ival-exp: 14.0ms (10.8% of total)

const: 11.0ms (8.5% of total)

ival-sub: 9.0ms (7% of total)

ival-log: 8.0ms (6.2% of total)

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

ival-pow2: 3.0ms (2.3% 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)

series341.0ms (3.3%)

Memory

-32.5MiB live, 495.3MiB allocated; 116ms collecting garbage

Counts

27 → 311

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

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) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(+ (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/6 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) v)))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) (pow v 2))))))))
(- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)
(- (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(- (/ (* cosTheta_O cosTheta_i) v) (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))
(/ (+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v))) cosTheta_i)
(exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))
(+ (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))) (/ (* cosTheta_O (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) v))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 2))) (/ (* cosTheta_O (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) (pow v 2))))) (/ (* cosTheta_O (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v)))
(/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 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) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))))
(* -1 (/ cosTheta_O v))
(- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)) (/ cosTheta_O v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) 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 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)) (/ 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* 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) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/6 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) (pow v 2))))))))
(+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 2))) (/ (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) (pow v 2))))) (/ (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) (* -1 (/ cosTheta_i v))))
(* cosTheta_O (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O cosTheta_i))) (/ 1 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 (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)) (/ cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O (* cosTheta_i v)))) (+ (/ 1 v) (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (+ (/ 1 (* cosTheta_O (* cosTheta_i v))) (+ (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* 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 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_O (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/6 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_O (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
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(exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))) (/ 1 v))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (* cosTheta_i (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))
(- (+ (* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v))))) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))) (/ cosTheta_O v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
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(* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v)))
(+ (* -1 (* cosTheta_i (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v)))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)
(- (+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))
(* sinTheta_i (- (+ (* -2 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ sinTheta_O v) (/ (log (/ 1/2 v)) sinTheta_i)))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)) (* -1 (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))))
(* -1 (/ (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) cosTheta_i))
(* sinTheta_i (- (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)) cosTheta_i)) (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_i))) (/ cosTheta_O (* sinTheta_i v))))
(* -1 (/ (* 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))))
(* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))
(/ (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) cosTheta_i)
(* sinTheta_i (- (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (+ (/ sinTheta_O (* cosTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i))))) (/ 1 (* cosTheta_i (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* 2 (/ sinTheta_O v))))))
(* -1 (* sinTheta_i (- (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i) (* -1 (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))))))
(/ (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) cosTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))) cosTheta_i)) (* -1 (/ (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v)) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))))
(* -1 (/ (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) cosTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* cosTheta_i v))) (+ (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_i)) (* 2 (/ sinTheta_O (* cosTheta_i 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 (- (* -1 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_i (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/6 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_i (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))) (/ 1 v))
(- (* cosTheta_i (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (+ (* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v))))) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))) (/ cosTheta_O v))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (+ (* -1 (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 3)) (* (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (* -1 (* cosTheta_i (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v)))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))
(* sinTheta_O (- (+ (* -2 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ sinTheta_i v) (/ (log (/ 1/2 v)) sinTheta_O)))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)) (* -1 (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))))
(* -1 (/ (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) cosTheta_i))
(* sinTheta_O (- (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)) cosTheta_i)) (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_O))) (/ cosTheta_O (* sinTheta_O v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))
(/ (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) cosTheta_i)
(* sinTheta_O (- (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (+ (/ 6931/10000 (* cosTheta_i sinTheta_O)) (+ (/ sinTheta_i (* cosTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_O))))) (/ 1 (* cosTheta_i (* sinTheta_O v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* 2 (/ sinTheta_i v))))))
(* -1 (* sinTheta_O (- (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O) (* -1 (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))))))
(/ (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) cosTheta_i)
(* -1 (* sinTheta_O (+ (* -1 (/ (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))) cosTheta_i)) (* -1 (/ (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v)) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))))
(* -1 (/ (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) cosTheta_i))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i (* cosTheta_i v))) (+ (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_O)) (* 2 (/ sinTheta_i (* cosTheta_i v)))))))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(/ (exp (- 6931/10000 (/ 1 v))) v)
(* 2 (* v (exp 6931/10000)))
(* 2 v)
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)
(/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (+ (* sinTheta_O sinTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))))) v)
(* -1 (/ (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O)) v))
(/ (- (* cosTheta_i (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i))))) (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O))) v)
(/ (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O) v)
(/ (- (+ (* -1 (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i))))) (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i))) cosTheta_O) v)
(* (exp (- 6931/10000 (+ (log 2) (log v)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
(exp (- 6931/10000 (+ (log 2) (log v))))
(- 6931/10000 (+ (log 2) (log v)))
(exp (- 6931/10000 (/ 1 v)))
(/ -1 v)
(/ (- (* 6931/10000 v) 1) 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_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O)) v)
(/ (+ (* -1 (* cosTheta_i (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i)))))) (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O))) v)
(/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(/ (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (+ (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i)))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) v)
(+ (log 1/2) (* -1 (log 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) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(/ (exp 6931/10000) v)
(/ (+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v))) v)
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2))))) v)
(/ (+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))) v)
(/ 1 (exp -6931/10000))
(- (+ (/ 1 (exp -6931/10000)) (/ (* cosTheta_O cosTheta_i) (* v (exp -6931/10000)))) (+ (/ 1 (* v (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (* v (exp -6931/10000)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp -6931/10000))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))) (pow v 2))) (+ (/ 1 (exp -6931/10000)) (/ (* cosTheta_O cosTheta_i) (* v (exp -6931/10000))))) (+ (/ 1 (* v (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (* v (exp -6931/10000)))))
(- (+ (* -1 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp -6931/10000))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* 1/6 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp -6931/10000))) (* 1/2 (* (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))))) (pow v 3))) (+ (/ 1 (exp -6931/10000)) (/ (* cosTheta_O cosTheta_i) (* v (exp -6931/10000))))) (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp -6931/10000)))) (+ (/ 1 (* v (exp -6931/10000))) (+ (/ (* sinTheta_O sinTheta_i) (* v (exp -6931/10000))) (/ (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (pow v 2))))))
(/ 1/2 (* v (exp -6931/10000)))
(/ (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v)
(/ (+ (* -1/2 (/ (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp -6931/10000))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))) (pow v 2))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000))))) v)
(/ (+ (* -1/2 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp -6931/10000))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* 1/6 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp -6931/10000))) (* 1/2 (* (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp -6931/10000))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))))) (pow v 2))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))))) v)
(exp -6931/10000)
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp -6931/10000) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp -6931/10000) (+ (* 1/6 (/ (* (exp -6931/10000) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
-6931/10000
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(- (* -1 (/ (* cosTheta_i (- (* -1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) cosTheta_O)) v)) (* -1 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))))
(* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i))
(- (+ (* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i)) (* -1 (/ (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v))) (/ cosTheta_O 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))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (pow v 3)) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
(+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) 1)) v))
(+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/2 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) 1)) v)))
(+ (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (- (* cosTheta_O cosTheta_i) 1)) v))))
(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2))))))
6931/10000
(- 6931/10000 (/ 1 v))
(* -1 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (* -1 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* cosTheta_i (- (* -1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) cosTheta_O)) v))
(/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i)
(+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ (log 1/2) cosTheta_i) (+ (/ (log (/ 1 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
(+ (log 1/2) (log (/ 1 v)))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 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) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v))
(+ (* -1 (/ (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp -6931/10000)))) (+ (/ 1 (exp -6931/10000)) (+ (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)) (/ (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))) v)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp -6931/10000)))) (* 1/2 (/ (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))) v)))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))))) v)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))
(* -1 (/ (- (* 1/2 (/ (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))) (* -1/2 (/ (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) v))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp -6931/10000))) (* 1/2 (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))))) v)) (* 1/2 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))))) v)) (* -1/2 (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(+ (exp -6931/10000) (* -1 (/ (* (exp -6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp -6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp -6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -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)) (* (exp -6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 2 (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
(- (/ (* cosTheta_i (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O))) v) (* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i))
(+ (* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i)) (* -1 (/ (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O)) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_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 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)))) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) 1)) v))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v)))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v)))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(+ (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)))
(* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* cosTheta_i (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O))) v)))
(/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i)
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))) v)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log -1/2) cosTheta_i) (/ (log (/ -1 v)) cosTheta_i))))
(+ (log -1/2) (log (/ -1 v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
85.0ms	cosTheta_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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (+ v v) (exp 6931/10000)) (+ v v) (exp 6931/10000) (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000))) (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (neg (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i)) (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (* (exp (- 6931/10000 (log (* v 2)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp (- 6931/10000 (log (* v 2)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- 6931/10000 (log (* v 2))) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) (log (/ 1/2 v)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
41.0ms	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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (+ v v) (exp 6931/10000)) (+ v v) (exp 6931/10000) (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000))) (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (neg (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i)) (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (* (exp (- 6931/10000 (log (* v 2)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp (- 6931/10000 (log (* v 2)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- 6931/10000 (log (* v 2))) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) (log (/ 1/2 v)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
37.0ms	cosTheta_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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (+ v v) (exp 6931/10000)) (+ v v) (exp 6931/10000) (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000))) (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (neg (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i)) (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (* (exp (- 6931/10000 (log (* v 2)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp (- 6931/10000 (log (* v 2)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- 6931/10000 (log (* v 2))) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) (log (/ 1/2 v)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
35.0ms	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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (+ v v) (exp 6931/10000)) (+ v v) (exp 6931/10000) (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000))) (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (neg (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i)) (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (* (exp (- 6931/10000 (log (* v 2)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp (- 6931/10000 (log (* v 2)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- 6931/10000 (log (* v 2))) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) (log (/ 1/2 v)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
21.0ms	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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (+ v v) (exp 6931/10000)) (+ v v) (exp 6931/10000) (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000))) (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) (neg (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i)) (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (* (exp (- 6931/10000 (log (* v 2)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp (- 6931/10000 (log (* v 2)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- 6931/10000 (log (* v 2))) (exp (+ (/ -1 v) 6931/10000)) (+ (/ -1 v) 6931/10000) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) (log (/ 1/2 v)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))

simplify272.0ms (2.6%)

Memory

-22.1MiB live, 301.5MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1780	15600
1	6521	15362
0	8366	14501

Stop Event

1×	iter limit
1×	node limit

Counts

311 → 311

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) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(+ (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/6 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) v)))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) (pow v 2))))))))
(- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)
(- (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(- (/ (* cosTheta_O cosTheta_i) v) (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))
(/ (+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v))) cosTheta_i)
(exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))
(+ (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))) (/ (* cosTheta_O (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) v))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 2))) (/ (* cosTheta_O (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) (pow v 2))))) (/ (* cosTheta_O (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v)))
(/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 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) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))))
(* -1 (/ cosTheta_O v))
(- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)) (/ cosTheta_O v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) 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 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)) (/ 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* 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) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/6 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 4) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* (pow v 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))) (pow v 2))))))))
(+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))) (pow v 2))) (/ (* cosTheta_i (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v)))) v))) (* (exp (- 6931/10000 (log (* 2 v)))) (exp (/ -1 v))))
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(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) (* -1 (/ cosTheta_i v))))
(* cosTheta_O (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O cosTheta_i))) (/ 1 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 (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)) (/ cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O (* cosTheta_i v)))) (+ (/ 1 v) (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (+ (/ 1 (* cosTheta_O (* cosTheta_i v))) (+ (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* 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 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_O (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/6 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_O (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1/2 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))) (/ 1 v))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (* cosTheta_i (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))
(- (+ (* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v))))) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))) (/ cosTheta_O v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))
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(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v)))
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(/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)
(- (+ (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))
(* sinTheta_i (- (+ (* -2 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ sinTheta_O v) (/ (log (/ 1/2 v)) sinTheta_i)))) (/ 1 (* sinTheta_i v))))
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(* -1 (/ (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) cosTheta_i))
(* sinTheta_i (- (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)) cosTheta_i)) (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_i))) (/ cosTheta_O (* sinTheta_i v))))
(* -1 (/ (* 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))))
(* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))
(/ (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) cosTheta_i)
(* sinTheta_i (- (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (+ (/ 6931/10000 (* cosTheta_i sinTheta_i)) (+ (/ sinTheta_O (* cosTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_i))))) (/ 1 (* cosTheta_i (* sinTheta_i v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* 2 (/ sinTheta_O v))))))
(* -1 (* sinTheta_i (- (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i) (* -1 (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))))))
(/ (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) cosTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))) cosTheta_i)) (* -1 (/ (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v)) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))))
(* -1 (/ (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) cosTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* cosTheta_i v))) (+ (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_i)) (* 2 (/ sinTheta_O (* cosTheta_i v)))))))
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(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (* 1/2 (/ sinTheta_i (* (pow v 2) (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))) (/ 1 v))
(- (* cosTheta_i (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(- (+ (* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v))))) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i))) (/ cosTheta_O v))
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(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (+ (* -1 (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 3)) (* (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
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(- (+ (* sinTheta_O (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (/ sinTheta_i (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v)))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))
(* sinTheta_O (- (+ (* -2 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ sinTheta_i v) (/ (log (/ 1/2 v)) sinTheta_O)))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)) (* -1 (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))))
(* -1 (/ (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) cosTheta_i))
(* sinTheta_O (- (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)) cosTheta_i)) (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_O))) (/ cosTheta_O (* sinTheta_O v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))
(/ (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) cosTheta_i)
(* sinTheta_O (- (+ (* -2 (/ sinTheta_i (* cosTheta_i v))) (+ (/ 6931/10000 (* cosTheta_i sinTheta_O)) (+ (/ sinTheta_i (* cosTheta_i v)) (/ (log (/ 1/2 v)) (* cosTheta_i sinTheta_O))))) (/ 1 (* cosTheta_i (* sinTheta_O v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* 2 (/ sinTheta_i v))))))
(* -1 (* sinTheta_O (- (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O) (* -1 (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))))))
(/ (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) cosTheta_i)
(* -1 (* sinTheta_O (+ (* -1 (/ (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))) cosTheta_i)) (* -1 (/ (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v)) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))))
(* -1 (/ (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) cosTheta_i))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i (* cosTheta_i v))) (+ (* -1 (/ (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v))) sinTheta_O)) (* 2 (/ sinTheta_i (* cosTheta_i v)))))))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(/ (exp (- 6931/10000 (/ 1 v))) v)
(* 2 (* v (exp 6931/10000)))
(* 2 v)
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(/ (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)
(/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (+ (* sinTheta_O sinTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))))) v)
(* -1 (/ (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O)) v))
(/ (- (* cosTheta_i (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i))))) (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O))) v)
(/ (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O) v)
(/ (- (+ (* -1 (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i))))) (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i))) cosTheta_O) v)
(* (exp (- 6931/10000 (+ (log 2) (log v)))) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
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(/ (+ (* -1 (* cosTheta_i (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i)))))) (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O))) v)
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(/ (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (+ (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i)))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) v)
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(/ (exp 6931/10000) v)
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(/ 1 (exp -6931/10000))
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(/ 1/2 (* v (exp -6931/10000)))
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(exp -6931/10000)
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(+ (exp -6931/10000) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp -6931/10000) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
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-6931/10000
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
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(* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i))
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(exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
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(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2))))))
6931/10000
(- 6931/10000 (/ 1 v))
(* -1 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (* -1 (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* cosTheta_i (- (* -1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))) cosTheta_O)) v))
(/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i)
(+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ (log 1/2) cosTheta_i) (+ (/ (log (/ 1 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
(+ (log 1/2) (log (/ 1 v)))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 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)))
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(+ (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) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
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(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v))
(+ (* -1 (/ (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (exp -6931/10000)))) (+ (/ 1 (exp -6931/10000)) (+ (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)) (/ (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))) v)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp -6931/10000)))) (* 1/2 (/ (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))) v)))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))))) v)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))
(* -1 (/ (- (* 1/2 (/ (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)))) (* -1/2 (/ (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) v))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp -6931/10000))) (* 1/2 (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))))) v)) (* 1/2 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp -6931/10000))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))))) v)) (* -1/2 (- (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(+ (exp -6931/10000) (* -1 (/ (* (exp -6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp -6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp -6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -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)) (* (exp -6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 2 (+ 1 (* sinTheta_O sinTheta_i)))) v)))))
(- (/ (* cosTheta_i (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O))) v) (* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i))
(+ (* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i)) (* -1 (/ (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O)) v)))
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(exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) 1)) v))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v)))
(+ (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (+ (* -1 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp (- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v)))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(+ (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)))
(* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* cosTheta_i (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O))) v)))
(/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i)
(+ (* -1 (/ (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))) v)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log -1/2) cosTheta_i) (/ (log (/ -1 v)) cosTheta_i))))
(+ (log -1/2) (log (/ -1 v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))

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

rewrite215.0ms (2.1%)

Memory

18.2MiB live, 250.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	518
0	130	476
1	526	462
2	3958	462
0	8604	462

Stop Event

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

Counts

27 → 406

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

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

eval117.0ms (1.1%)

Memory: -4.0MiB live, 193.1MiB allocated; 32ms collecting garbage
Compiler: Compiled 51 115 to 4 614 computations (91% saved)

prune35.0ms (0.3%)

Memory

15.5MiB live, 62.8MiB allocated; 1ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	704	12	716
Fresh	3	3	6
Picked	4	1	5
Done	0	0	0
Total	711	16	727

Accuracy

99.9%

Counts

727 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f32 (/.f32 (exp.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)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 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 #s(literal 2 binary32) v))
	50.4%	(/.f32 (.f32 (exp.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)) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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)) #s(literal 48038761/100000000 binary32))))) (*.f32 #s(literal 2 binary32) v))
▶	99.7%	(/.f32 (exp.f32 (+.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)) (log.f32 #s(literal 1/2 binary32)))) v)
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 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)))))
	50.5%	(.f32 (exp.f32 (/.f32 (pow.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 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))))
▶	98.1%	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (neg.f32 (.f32 #s(approx (+ ( (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) cosTheta_i))))
	16.4%	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (neg.f32 #s(approx (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (neg.f32 (*.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O))))))
	14.6%	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) #s(approx (neg (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
	99.0%	#s(approx (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
✓	10.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (+.f32 v v) (exp.f32 #s(literal 6931/10000 binary32))))
	99.3%	#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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
▶	10.6%	#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 2 binary32)))
	99.1%	#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) (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (neg.f32 v))))))
▶	98.0%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
	99.3%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
▶	99.3%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))

Compiler

Compiled 1 698 to 1 048 computations (38.3% saved)

simplify209.0ms (2%)

Memory

9.3MiB live, 249.4MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (neg.f32 (.f32 #s(approx (+ ( (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) cosTheta_i))))
cost-diff	1	(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
cost-diff	1	(neg.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
cost-diff	5	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
cost-diff	0	(+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
cost-diff	0	#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
cost-diff	1	(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
cost-diff	0	(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v)
cost-diff	0	(*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
cost-diff	0	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 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))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32)))
cost-diff	0	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
cost-diff	0	(+.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)) (log.f32 #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 (exp.f32 (+.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)) (log.f32 #s(literal 1/2 binary32)))) v)
cost-diff	1	(exp.f32 (+.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)) (log.f32 #s(literal 1/2 binary32))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	972
0	134	947
1	275	882
2	657	820
3	2462	796
0	9019	796

Stop Event

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

Calls

Call 1

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

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

localize271.0ms (2.6%)

Memory

-15.1MiB live, 263.3MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.07656397481682752	(exp.f32 #s(approx (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v)))) (neg.f32 (.f32 #s(approx (+ ( (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) cosTheta_i))))
accuracy	0.12861675457169186	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy	8.499954062634027	(.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)
accuracy	15.051386014573422	(.f32 #s(approx (+ ( (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) (.f32 (-.f32 (/.f32 (neg.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) cosTheta_i)
accuracy	0.03515625	(+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
accuracy	0.04296875	(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
accuracy	0.07656397481682752	(exp.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
accuracy	0.12861675457169186	(log.f32 (/.f32 #s(literal 1/2 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))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
accuracy	0.029388913890847707	(/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v)
accuracy	0.0635672375384935	(exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v)))
accuracy	1.647388868163349	#s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.0078125	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32))
accuracy	0.3359375	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)
accuracy	28.615848345924476	#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 2 binary32)))
accuracy	0.03558017365928973	(/.f32 (exp.f32 (+.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)) (log.f32 #s(literal 1/2 binary32)))) v)
accuracy	0.0390625	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
accuracy	0.04296875	(+.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)) (log.f32 #s(literal 1/2 binary32)))
accuracy	0.058504999701171546	(exp.f32 (+.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)) (log.f32 #s(literal 1/2 binary32))))

Samples

197.0ms

256×

valid

Compiler

Compiled 677 to 83 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 54.0ms (31.3% of total)

ival-pow2: 29.0ms (16.8% of total)

ival-div: 27.0ms (15.6% of total)

ival-add: 18.0ms (10.4% of total)

ival-exp: 13.0ms (7.5% of total)

const: 11.0ms (6.4% of total)

ival-sub: 9.0ms (5.2% of total)

ival-log: 7.0ms (4.1% of total)

ival-neg: 4.0ms (2.3% of total)

exact: 1.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

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

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

series150.0ms (1.4%)

Memory

20.3MiB live, 209.9MiB allocated; 51ms collecting garbage

Counts

26 → 251

Calls

Call 1

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

Outputs
(exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)
(+ (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (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) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
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(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))
(/ (+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v))) cosTheta_i)
(exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log 1/2) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* 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 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))))
(* -1 (/ cosTheta_O v))
(+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))))
(+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* cosTheta_O (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))) cosTheta_i)))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 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)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 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))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log 1/2) cosTheta_O))) (+ (/ 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 (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O))))
(* cosTheta_O (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O cosTheta_i))) (/ 1 v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))))
(* -1 (* cosTheta_O (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O (* cosTheta_i v)))) (+ (/ 6931/10000 (* cosTheta_O cosTheta_i)) (+ (/ 1 v) (+ (/ 1 (* cosTheta_O (* cosTheta_i v))) (+ (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))))))))
(exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v)
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 3))))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 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))
(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
(- (* sinTheta_i (+ sinTheta_O (* -2 sinTheta_O))) 1)
(- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))
(- (+ (* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))) (/ 1 v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (+ (* -1 (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 3)) (* (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v)))
(+ (* -1 (* cosTheta_i (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v)))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(* cosTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (* cosTheta_O cosTheta_i))) (/ 1 v)))
(+ (* -1 (* cosTheta_O (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_O (* cosTheta_i v)))) (/ sinTheta_O (* cosTheta_O (* cosTheta_i v))))))) (* cosTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (* cosTheta_O cosTheta_i))) (/ 1 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log 1/2) 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 (+ sinTheta_O (* -2 sinTheta_O)))
(* sinTheta_i (- (+ sinTheta_O (* -2 sinTheta_O)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ 1 (* sinTheta_i v)) (+ (* -2 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ sinTheta_O v) (/ (log (/ 1/2 v)) sinTheta_i))))))
(* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))
(* sinTheta_i (- (+ (* -2 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ sinTheta_O v) (/ (log (/ 1/2 v)) sinTheta_i)))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))
(* -1 (/ (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) cosTheta_i))
(* sinTheta_i (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)) cosTheta_i)) (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_i)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* 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 sinTheta_O) (* 2 sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (+ (* 2 sinTheta_O) (/ 1 sinTheta_i)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v)))) sinTheta_i)) (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* 2 (/ sinTheta_O v))))))
(* -1 (* sinTheta_i (+ (* -1 (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))))
(/ (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) cosTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_i)) (* -1 (/ (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))) cosTheta_i)))))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 3))))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) 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 (+ sinTheta_i (* -2 sinTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))) (/ 1 v))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 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))))
(* sinTheta_O (+ sinTheta_i (* -2 sinTheta_i)))
(* sinTheta_O (- (+ sinTheta_i (* -2 sinTheta_i)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ 1 (* sinTheta_O v)) (+ (* -2 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ sinTheta_i v) (/ (log (/ 1/2 v)) sinTheta_O))))))
(* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))
(* sinTheta_O (- (+ (* -2 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ sinTheta_i v) (/ (log (/ 1/2 v)) sinTheta_O)))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))
(* -1 (/ (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) cosTheta_i))
(* sinTheta_O (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)) cosTheta_i)) (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_O)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* 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 sinTheta_i) (* 2 sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (+ (* 2 sinTheta_i) (/ 1 sinTheta_O)))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v)))) sinTheta_O)) (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* 2 (/ sinTheta_i v))))))
(* -1 (* sinTheta_O (+ (* -1 (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))))
(/ (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) cosTheta_i)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_O)) (* -1 (/ (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))) cosTheta_i)))))
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(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (log 1/2)))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* 2 (* v (exp 6931/10000)))
(* v (exp 6931/10000))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(/ (exp (- 6931/10000 (/ 1 v))) v)
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
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(exp (- 6931/10000 (/ 1 v)))
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(/ (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O)) v)
(/ (+ (* -1 (* cosTheta_i (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i)))))) (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O))) v)
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(/ (+ (* -1 (* cosTheta_O (* v (+ (* -1 (/ (log v) (* cosTheta_O cosTheta_i))) (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log 1/2) (* cosTheta_O cosTheta_i))))))) (* cosTheta_O (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))) 1))) v)
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6931/10000
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(exp 6931/10000)
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(* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i))
(+ (* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i)) (/ (* cosTheta_O (- (* -1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))))) 1)) v))
(+ (exp (+ 6931/10000 (log 1/2))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp (+ 6931/10000 (log 1/2))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(* -1 (/ (+ (* -1 (exp (+ 6931/10000 (log 1/2)))) (* -1 (/ (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (exp (+ 6931/10000 (log 1/2)))) (* -1 (/ (+ (* 1/2 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v))) v))
(* -1 (/ (+ (* -1 (exp (+ 6931/10000 (log 1/2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/6 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) 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) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) v)) (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_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 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)))) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (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)))
(+ (log -1/2) (log (/ -1 v)))
(+ (* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* cosTheta_i (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O))) v)))
(* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (+ 1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))))) v)) (* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i)))

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	sinTheta_i	@	-inf	((exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) (/ (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) v) (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2)) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (* (exp 6931/10000) v) 2) (* (exp 6931/10000) 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ -1 v) 6931/10000) (exp (+ (/ -1 v) 6931/10000)) (log (/ 1/2 v)) (+ (/ -1 v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (* (- (/ (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (* cosTheta_O cosTheta_i)) (/ 1 v)) cosTheta_O))
17.0ms	v	@	0	((exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) (/ (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) v) (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2)) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (* (exp 6931/10000) v) 2) (* (exp 6931/10000) 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ -1 v) 6931/10000) (exp (+ (/ -1 v) 6931/10000)) (log (/ 1/2 v)) (+ (/ -1 v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (* (- (/ (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (* cosTheta_O cosTheta_i)) (/ 1 v)) cosTheta_O))
16.0ms	v	@	inf	((exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) (/ (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) v) (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2)) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (* (exp 6931/10000) v) 2) (* (exp 6931/10000) 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ -1 v) 6931/10000) (exp (+ (/ -1 v) 6931/10000)) (log (/ 1/2 v)) (+ (/ -1 v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (* (- (/ (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (* cosTheta_O cosTheta_i)) (/ 1 v)) cosTheta_O))
13.0ms	v	@	-inf	((exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) (/ (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) v) (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2)) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (* (exp 6931/10000) v) 2) (* (exp 6931/10000) 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ -1 v) 6931/10000) (exp (+ (/ -1 v) 6931/10000)) (log (/ 1/2 v)) (+ (/ -1 v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (* (- (/ (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (* cosTheta_O cosTheta_i)) (/ 1 v)) cosTheta_O))
12.0ms	cosTheta_O	@	0	((exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) (/ (exp (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2))) v) (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2)) (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (* (exp 6931/10000) v) 2) (* (exp 6931/10000) 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (* (/ (exp (+ (/ -1 v) 6931/10000)) v) 1/2) (/ (exp (+ (/ -1 v) 6931/10000)) v) (exp (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (/ (- (pow (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 2) 48038761/100000000) (- (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)) (log (/ 1 (* 2 v))))) (+ (/ -1 v) 6931/10000) (exp (+ (/ -1 v) 6931/10000)) (log (/ 1/2 v)) (+ (/ -1 v) 6931/10000) (* (+ (* (/ (- (+ (* -2 (/ (+ (* sinTheta_O sinTheta_i) 1) v)) (log (/ 1/2 v))) (+ -6931/10000 (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v)))) cosTheta_i) -1) (neg (/ cosTheta_O v))) cosTheta_i) (* (- (/ (neg (+ (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* (+ (* sinTheta_O sinTheta_i) 1) -2) (+ (* sinTheta_O sinTheta_i) 1)) v))) (* cosTheta_O cosTheta_i)) (/ 1 v)) cosTheta_O))

simplify253.0ms (2.4%)

Memory

17.0MiB live, 347.9MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1397	12789
1	5153	12567
0	8386	11874

Stop Event

1×	iter limit
1×	node limit

Counts

251 → 251

Calls

Call 1

Inputs
(exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 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)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)
(+ (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2)))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (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) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_i (+ (* cosTheta_i (+ (* cosTheta_i (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_O (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_O (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v)))
(* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))
(/ (+ (* -1 (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O cosTheta_i) v))) cosTheta_i)
(exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log 1/2) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* 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 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i))))
(* -1 (/ cosTheta_O v))
(+ (* -1 (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))))
(+ (* -1 (/ cosTheta_O v)) (* -1 (/ (* cosTheta_O (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))) cosTheta_i)))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 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)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))) (/ (exp (- (+ 6931/10000 (log 1/2)) (+ (/ 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))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(+ (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (+ (* -1 (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 3)) (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) 2))) (+ (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -48038761/100000000 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))))))))) (* (exp (+ (log (/ 1/2 v)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -48038761/100000000 (/ cosTheta_i (* v (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log 1/2) cosTheta_O))) (+ (/ 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 (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O))))
(* cosTheta_O (- (* -1 (/ (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_O cosTheta_i))) (/ 1 v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log 1/2)) (+ (/ 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 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))))
(* -1 (* cosTheta_O (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O (* cosTheta_i v)))) (+ (/ 6931/10000 (* cosTheta_O cosTheta_i)) (+ (/ 1 v) (+ (/ 1 (* cosTheta_O (* cosTheta_i v))) (+ (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))))))))
(exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v)
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 3))))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 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))
(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
(- (* sinTheta_i (+ sinTheta_O (* -2 sinTheta_O))) 1)
(- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v))))
(- (+ (* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))) (/ 1 v))
(exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (+ (* -1 (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 3)) (* (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3))))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))))
(* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v)))
(+ (* -1 (* cosTheta_i (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_i v))) (/ sinTheta_O (* cosTheta_i v)))))) (* cosTheta_i (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)) (/ cosTheta_O v))))
(* cosTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (* cosTheta_O cosTheta_i))) (/ 1 v)))
(+ (* -1 (* cosTheta_O (* sinTheta_i (+ (* -2 (/ sinTheta_O (* cosTheta_O (* cosTheta_i v)))) (/ sinTheta_O (* cosTheta_O (* cosTheta_i v))))))) (* cosTheta_O (- (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) (* cosTheta_O cosTheta_i))) (/ 1 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log 1/2) 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 (+ sinTheta_O (* -2 sinTheta_O)))
(* sinTheta_i (- (+ sinTheta_O (* -2 sinTheta_O)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ 1 (* sinTheta_i v)) (+ (* -2 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ sinTheta_O v) (/ (log (/ 1/2 v)) sinTheta_i))))))
(* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)))
(* sinTheta_i (- (+ (* -2 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ sinTheta_O v) (/ (log (/ 1/2 v)) sinTheta_i)))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))
(* -1 (/ (* sinTheta_i (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v))) cosTheta_i))
(* sinTheta_i (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (/ sinTheta_O v)) cosTheta_i)) (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_i)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* 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 sinTheta_O) (* 2 sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (+ (* 2 sinTheta_O) (/ 1 sinTheta_i)))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v)))) sinTheta_i)) (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_i)) (* 2 (/ sinTheta_O v))))))
(* -1 (* sinTheta_i (+ (* -1 (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_i)))))
(/ (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v)))) cosTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_i)) (* -1 (/ (+ (* -1 (/ sinTheta_O v)) (* 2 (/ sinTheta_O v))) cosTheta_i)))))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 4))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 3))))))) (/ (exp (- (+ 6931/10000 (+ (log 1/2) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) 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 (+ sinTheta_i (* -2 sinTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))) (/ 1 v)) (+ 6931/10000 (log (/ 1/2 v))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))) (/ 1 v))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))))) (* (exp (- (+ (log (/ 1/2 v)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 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))))
(* sinTheta_O (+ sinTheta_i (* -2 sinTheta_i)))
(* sinTheta_O (- (+ sinTheta_i (* -2 sinTheta_i)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))))
(* sinTheta_O (- (/ 1 (* sinTheta_O v)) (+ (* -2 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ sinTheta_i v) (/ (log (/ 1/2 v)) sinTheta_O))))))
(* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)))
(* sinTheta_O (- (+ (* -2 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ sinTheta_i v) (/ (log (/ 1/2 v)) sinTheta_O)))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))
(* -1 (/ (* sinTheta_O (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v))) cosTheta_i))
(* sinTheta_O (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (/ sinTheta_i v)) cosTheta_i)) (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_O)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log 1/2) (/ (* 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 sinTheta_i) (* 2 sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (+ (* 2 sinTheta_i) (/ 1 sinTheta_O)))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ 1 v) (+ 6931/10000 (log (/ 1/2 v)))) sinTheta_O)) (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) sinTheta_O)) (* 2 (/ sinTheta_i v))))))
(* -1 (* sinTheta_O (+ (* -1 (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* cosTheta_i (- (* -1 (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (/ 1/2 v)) cosTheta_i)) (/ 1 (* cosTheta_i v)))) (/ cosTheta_O v))) sinTheta_O)))))
(/ (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v)))) cosTheta_i)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (- (* -1 (- (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log (/ 1/2 v)) (* cosTheta_O cosTheta_i))) (/ 1 (* cosTheta_O (* cosTheta_i v))))) (/ 1 v))) sinTheta_O)) (* -1 (/ (+ (* -1 (/ sinTheta_i v)) (* 2 (/ sinTheta_i v))) cosTheta_i)))))
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(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (log 1/2)))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* 2 (* v (exp 6931/10000)))
(* v (exp 6931/10000))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(/ (exp (- 6931/10000 (/ 1 v))) v)
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
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(exp (- 6931/10000 (/ 1 v)))
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(/ (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O)) v)
(/ (+ (* -1 (* cosTheta_i (* v (+ (* -1 (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log 1/2) cosTheta_i)))))) (* cosTheta_i (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) cosTheta_i)) cosTheta_O))) v)
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(/ (+ (* -1 (* cosTheta_O (* v (+ (* -1 (/ (log v) (* cosTheta_O cosTheta_i))) (+ (* 6931/10000 (/ 1 (* cosTheta_O cosTheta_i))) (/ (log 1/2) (* cosTheta_O cosTheta_i))))))) (* cosTheta_O (- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))) 1))) v)
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6931/10000
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(exp 6931/10000)
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(* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i))
(+ (* -1 (/ (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) cosTheta_i)) (/ (* cosTheta_O (- (* -1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))))) 1)) v))
(+ (exp (+ 6931/10000 (log 1/2))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp (+ 6931/10000 (log 1/2))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(* -1 (/ (+ (* -1 (exp (+ 6931/10000 (log 1/2)))) (* -1 (/ (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (exp (+ 6931/10000 (log 1/2)))) (* -1 (/ (+ (* 1/2 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v))) v))
(* -1 (/ (+ (* -1 (exp (+ 6931/10000 (log 1/2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/6 (/ (* (exp (+ 6931/10000 (log 1/2))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* (exp (+ 6931/10000 (log 1/2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) 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) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (/ (exp 6931/10000) v)) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))) v))
(* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1 (exp 6931/10000)) (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/6 (/ (exp 6931/10000) v))) v))) v))) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(- (* -1 (/ (+ 1 (+ (* -2 (+ 1 (* sinTheta_O sinTheta_i))) (* sinTheta_O sinTheta_i))) v)) (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_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 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ (* -1 (+ (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)))) (* 1/6 (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)))) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))
(+ (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)))
(+ (log -1/2) (log (/ -1 v)))
(+ (* -1 (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* cosTheta_i (- (* -1 (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)) (* 2 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i)))) (* -1 cosTheta_O))) v)))
(* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (+ 1 (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))))) v)) (* -1 (/ (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) cosTheta_i)))

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

rewrite229.0ms (2.2%)

Memory

1.2MiB live, 228.7MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	592
0	134	554
1	591	516
2	4743	516
0	8243	509

Stop Event

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

Counts

26 → 275

Calls

Call 1

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

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

eval153.0ms (1.5%)

Memory: 0.4MiB live, 196.6MiB allocated; 41ms collecting garbage
Compiler: Compiled 47 895 to 4 276 computations (91.1% saved)

prune48.0ms (0.5%)

Memory

-12.4MiB live, 89.6MiB allocated; 11ms collecting garbage

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	535	6	541
Fresh	3	7	10
Picked	3	2	5
Done	0	1	1
Total	541	16	557

Accuracy

99.9%

Counts

557 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f32 (/.f32 (exp.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)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 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 #s(literal 2 binary32) v))
	50.4%	(/.f32 (.f32 (exp.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)) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) 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)) #s(literal 48038761/100000000 binary32))))) (*.f32 #s(literal 2 binary32) v))
	99.7%	(/.f32 (exp.f32 (+.f32 #s(approx (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (log.f32 #s(literal 1/2 binary32)))) v)
	99.6%	(/.f32 (exp.f32 #s(approx (+ (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000) (log 1/2)) (/.f32 (-.f32 (fma.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 6931/10000 binary32)) v (*.f32 cosTheta_i cosTheta_O)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) v)
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 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)))))
	50.5%	(.f32 (exp.f32 (/.f32 (pow.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 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 #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 2 binary32))))))
	99.0%	#s(approx (/ (/ 1 (exp (neg (+ (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) 6931/10000)))) (* 2 v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
✓	10.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (+.f32 v v) (exp.f32 #s(literal 6931/10000 binary32))))
	99.3%	#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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
✓	10.6%	#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 2 binary32)))
	99.1%	#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) (log.f32 (.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (neg.f32 v))))))
✓	98.0%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))))
	99.3%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))))
	97.6%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (*.f32 (exp.f32 #s(approx (+ (/ -1 v) 6931/10000) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
	99.7%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))
	97.8%	#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)) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (exp.f32 #s(approx (+ (+ (/ -1 v) 6931/10000) (log (/ 1/2 v))) (/.f32 #s(literal -1 binary32) v)))))

Compiler

Compiled 2 545 to 813 computations (68.1% saved)

regimes99.0ms (0.9%)

Memory

10.1MiB live, 144.4MiB allocated; 9ms collecting garbage

Counts

38 → 1

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

Calls

9 calls:

17.0ms	cosTheta_O
16.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	v
9.0ms	sinTheta_i
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	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))))`
99.7%	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)))))`
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes86.0ms (0.8%)

Memory

-25.4MiB live, 121.6MiB allocated; 12ms collecting garbage

Counts

34 → 1

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

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

Calls

9 calls:

17.0ms	cosTheta_i
12.0ms	v
9.0ms	(*.f32 sinTheta_i sinTheta_O)
8.0ms	sinTheta_O
8.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	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))))`
99.7%	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)))))`
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes30.0ms (0.3%)

Memory

2.9MiB live, 48.1MiB allocated; 2ms collecting garbage

Counts

10 → 1

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

Calls

9 calls:

5.0ms	(+.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_O
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.3%	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))))`
99.3%	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)))))`
99.3%	1	`cosTheta_i`
99.3%	1	`cosTheta_O`
99.3%	1	`sinTheta_i`
99.3%	1	`sinTheta_O`
99.3%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes26.0ms (0.2%)

Memory

-10.8MiB live, 46.2MiB allocated; 4ms collecting garbage

Counts

8 → 1

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

Calls

9 calls:

5.0ms	(*.f32 sinTheta_i 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_O
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.0%	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))))`
98.0%	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)))))`
98.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.0%	1	`cosTheta_i`
98.0%	1	`cosTheta_O`
98.0%	1	`sinTheta_i`
98.0%	1	`sinTheta_O`
98.0%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes22.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms collecting garbage

Counts

7 → 1

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

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

Calls

9 calls:

3.0ms	cosTheta_i
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_O
2.0ms	cosTheta_O
2.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.8%	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))))`
97.8%	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)))))`
97.8%	1	`cosTheta_i`
97.8%	1	`cosTheta_O`
97.8%	1	`sinTheta_i`
97.8%	1	`v`
97.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
97.8%	1	`sinTheta_O`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes12.0ms (0.1%)

Memory

-21.2MiB live, 25.5MiB allocated; 1ms collecting garbage

Counts

2 → 1

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))))) (*.f32 (+.f32 v 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 2 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 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
10.6%	1	`sinTheta_i`
10.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
10.6%	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))))`
10.6%	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)))))`
10.6%	1	`cosTheta_O`
10.6%	1	`sinTheta_O`
10.6%	1	`v`
10.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
10.6%	1	`cosTheta_i`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes9.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

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))))) (*.f32 (+.f32 v 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 v v) (exp.f32 #s(literal 6931/10000 binary32))))

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	sinTheta_O
1.0ms	cosTheta_i
1.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
10.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
10.6%	1	`sinTheta_O`
10.6%	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)))))`
10.6%	1	`cosTheta_O`
10.6%	1	`v`
10.6%	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))))`
10.6%	1	`sinTheta_i`
10.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
10.6%	1	`cosTheta_i`

Compiler

Compiled 60 to 78 computations (-30% saved)

simplify53.0ms (0.5%)

Memory

-28.8MiB live, 63.4MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	306
1	134	290
2	282	289
3	846	277
4	3964	271

Stop Event

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

derivations973.0ms (9.3%)

Memory

33.9MiB live, 854.3MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1780	15600
1	6521	15362
0	8366	14501
0	21	74
0	34	62
1	137	57
2	1213	57
0	8896	55
0	1397	12789
1	5153	12567
0	8386	11874
0	297	1633
1	996	1580
2	4269	1444
0	8288	1365
0	88	518
0	130	476
1	526	462
2	3958	462
0	8604	462
0	62	366
0	98	299
1	393	268
2	3328	268
0	8289	268
0	2025	21504
1	7240	21239
0	8563	20110

Stop Event

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

Compiler

Compiled 311 to 82 computations (73.6% saved)

preprocess62.0ms (0.6%)

Memory

2.2MiB live, 93.8MiB allocated; 5ms collecting garbage

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 912 to 382 computations (58.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze423.0ms (4.1%)

sample2.7s (26.4%)

explain285.0ms (2.7%)

preprocess195.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify235.0ms (2.3%)

localize74.0ms (0.7%)

series85.0ms (0.8%)

simplify140.0ms (1.3%)

rewrite223.0ms (2.1%)

eval48.0ms (0.5%)

prune31.0ms (0.3%)

simplify170.0ms (1.6%)

localize187.0ms (1.8%)

series291.0ms (2.8%)

simplify237.0ms (2.3%)

rewrite179.0ms (1.7%)

eval135.0ms (1.3%)

prune39.0ms (0.4%)

simplify149.0ms (1.4%)

localize870.0ms (8.4%)

series341.0ms (3.3%)

simplify272.0ms (2.6%)

rewrite215.0ms (2.1%)

eval117.0ms (1.1%)

prune35.0ms (0.3%)

simplify209.0ms (2%)

localize271.0ms (2.6%)

series150.0ms (1.4%)

simplify253.0ms (2.4%)

rewrite229.0ms (2.2%)

eval153.0ms (1.5%)

prune48.0ms (0.5%)

regimes99.0ms (0.9%)

regimes86.0ms (0.8%)

regimes30.0ms (0.3%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

simplify53.0ms (0.5%)

derivations973.0ms (9.3%)

preprocess62.0ms (0.6%)

end0.0ms (0%)

Profiling