Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze565.0ms (4.5%)

Memory

31.5MiB live, 655.2MiB allocated

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)

sample3.0s (23.8%)

Memory

-11.5MiB live, 3 055.1MiB allocated

Samples

1.9s	8 256×	0	valid
20.0ms	109×	0	invalid

Precisions

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

const: 369.0ms (23.2% of total)

ival-mult: 253.0ms (15.9% of total)

ival-<=: 252.0ms (15.9% of total)

ival-div: 250.0ms (15.7% of total)

ival-log: 138.0ms (8.7% of total)

ival-exp: 108.0ms (6.8% of total)

ival-add: 80.0ms (5% of total)

ival-sub: 71.0ms (4.5% of total)

ival-and: 49.0ms (3.1% of total)

exact: 15.0ms (0.9% of total)

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

Bogosity

explain515.0ms (4.1%)

Memory

-6.0MiB live, 719.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
105	0	-	105	(-4.0867922734832973e-7 -4.6376368807090104e-35 -1.334534529599418e-18 -3.0229067073081564e-27 7.521455334753381e-30)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
97	0	-	97	(-4.0867922734832973e-7 -4.6376368807090104e-35 -1.334534529599418e-18 -3.0229067073081564e-27 7.521455334753381e-30)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	3	(5.118164692094087e-21 -8.315908725520238e-13 5.7756878391046484e-8 -4.925913565934081e-10 0.0032519660890102386)	2	(0.09036857634782791 -6.479043609115392e-22 6.5727486658635065e-15 -6.411170870174349e-35 0.026901235803961754)	`(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)))))`
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	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`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	3	5

Confusion

	Predicted +	Predicted -
+	0	3
-	3	250

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	1
-	3	3	247

Precision?

0.25

Recall?

0.6666666666666666

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

212.0ms

512×

valid

Compiler

Compiled 561 to 145 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-add: 136.0ms (73.9% of total)

ival-div: 13.0ms (7.1% of total)

ival-mult: 10.0ms (5.4% of total)

const: 10.0ms (5.4% of total)

ival-log: 6.0ms (3.3% of total)

ival-exp: 4.0ms (2.2% of total)

ival-sub: 4.0ms (2.2% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

preprocess156.0ms (1.2%)

Memory

2.7MiB live, 236.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	481
1	462	447
2	1368	440
3	4990	440
0	21	25
0	34	23
1	63	22
2	151	22
3	471	22
4	1717	22
5	5047	22
0	8134	19

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

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
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Status

Accuracy

Program

▶

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)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Compiler

Compiled 25 to 21 computations (16% saved)

simplify147.0ms (1.2%)

Memory

-2.9MiB live, 157.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	64	(+.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))
cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	320	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
cost-diff	3136	(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)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	34	125
1	63	124
2	151	124
3	471	124
4	1717	124
5	5047	124
0	8134	113

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

localize109.0ms (0.9%)

Memory

-2.8MiB live, 113.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.078125	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	0.0804923016440798	(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)))))
accuracy	8.097047641361458	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	9.090831306548374	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

97.0ms

256×

valid

Compiler

Compiled 268 to 44 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-div: 35.0ms (50.4% of total)

ival-sub: 19.0ms (27.3% of total)

ival-mult: 5.0ms (7.2% of total)

const: 4.0ms (5.8% of total)

ival-log: 3.0ms (4.3% of total)

ival-exp: 2.0ms (2.9% of total)

ival-add: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory

7.3MiB live, 45.2MiB allocated

Counts

7 → 66

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

Calls

15 calls:

Time	Variable		Point	Expression
14.0ms	cosTheta_O	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
3.0ms	sinTheta_O	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
3.0ms	cosTheta_i	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	v	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	v	@	inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))

simplify175.0ms (1.4%)

Memory

-21.7MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	1885
1	1054	1815
2	3693	1627
0	8207	1506

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

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

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

rewrite363.0ms (2.9%)

Memory

-0.6MiB live, 317.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	34	71
1	147	64
2	1507	64
0	8245	64

Stop Event

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

Counts

7 → 617

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

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

eval126.0ms (1%)

Memory: 2.8MiB live, 152.7MiB allocated
Compiler: Compiled 25 224 to 3 498 computations (86.1% saved)

prune16.0ms (0.1%)

Memory

11.1MiB live, 49.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	657	8	665
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	658	8	666

Accuracy

99.8%

Counts

666 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
▶	86.2%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
	99.7%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
	99.7%	(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) (.f32 v #s(literal -1 binary32))) (.f32 v (neg.f32 v))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
	16.9%	#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 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))

Compiler

Compiled 490 to 372 computations (24.1% saved)

simplify124.0ms (1%)

Memory

28.2MiB live, 147.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff	192	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
cost-diff	2944	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
cost-diff	3872	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
cost-diff	64	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	352	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
cost-diff	2944	(exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
cost-diff	64	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
cost-diff	160	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
cost-diff	0	(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
cost-diff	0	(exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
cost-diff	64	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	3456	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	655
0	93	641
1	179	634
2	405	634
3	1507	634
4	7551	634
0	8334	607

Stop Event

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

Calls

Call 1

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

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

localize229.0ms (1.8%)

Memory

-28.5MiB live, 263.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08670330058332763	(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy	1.7778141927347333	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	2.1199156712927385	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
accuracy	4.937640670851788	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
accuracy	0.04296875	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy	0.0625	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.06823880085870934	(exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
accuracy	0.08656218983414621	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))))
accuracy	0.018778730164287515	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
accuracy	0.0234375	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.0625	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.08529745704783395	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.3046875	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	28.111443197515687	#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 -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
accuracy	0.217128759768442	(pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32))
accuracy	0.29820253907376804	(/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
accuracy	0.4404487793053261	(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
accuracy	12.143028599122513	(/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))

Samples

126.0ms	236×	0	valid
8.0ms	20×	0	exit

Compiler

Compiled 1 303 to 120 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

const: 23.0ms (23% of total)

ival-div: 20.0ms (20% of total)

ival-exp: 16.0ms (16% of total)

ival-mult: 14.0ms (14% of total)

ival-sub: 10.0ms (10% of total)

ival-log: 7.0ms (7% of total)

ival-pow2: 5.0ms (5% of total)

ival-add: 4.0ms (4% of total)

exact: 1.0ms (1% of total)

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

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

series465.0ms (3.7%)

Memory

33.0MiB live, 692.7MiB allocated

Counts

25 → 438

Calls

Call 1

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

Outputs
(/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* cosTheta_i (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
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sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 3)) (* (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (- (/ (pow cosTheta_O 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_O (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_O 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_O (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (+ (* (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow cosTheta_O 3) (pow (log (* 2 v)) 2)) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (+ (* -1 (/ (* (pow cosTheta_O 3) (pow (log (* 2 v)) 4)) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 5)))) (* -1/6 (/ (* (pow cosTheta_O 3) (pow (log (* 2 v)) 6)) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_O 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (/ (* cosTheta_O (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))
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(/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
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(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(+ (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 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 (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) (* cosTheta_i (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (/ (* cosTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) (* cosTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (* -1 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))))) (/ (* cosTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- 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))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i))))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2)))))) (pow cosTheta_i 2)))) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))))) cosTheta_O)) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2)))))))) cosTheta_O)) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))))))) (pow cosTheta_i 3)))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))) (pow cosTheta_i 2)))))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) (* 6931/10000 (/ 1 cosTheta_i))))
(* cosTheta_i (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 2)))))))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* cosTheta_O (pow cosTheta_i 2))))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 2))))))))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* cosTheta_O (pow cosTheta_i 2))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 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)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) cosTheta_i)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_i 2)))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* 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 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))) cosTheta_i)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_O))) cosTheta_i)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2)))))))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 3))))) cosTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))))) cosTheta_i)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_O))) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O))) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_i)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(+ (* cosTheta_O (- (+ (* cosTheta_O (- (+ (* cosTheta_O (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 3)) (* (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) 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1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_i (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) 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2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (+ (* (+ (* 1/2 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i 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6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* -1 (/ (* cosTheta_i (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 3)) (* (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))))
(+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 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 (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 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 (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))) (pow cosTheta_O 2)))) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) cosTheta_i)) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))))) cosTheta_i)) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))))))) (pow cosTheta_O 3)))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))) (pow cosTheta_O 2)))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(* cosTheta_O (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) (* 6931/10000 (/ 1 cosTheta_O))))
(* cosTheta_O (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) cosTheta_i))))))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* (pow cosTheta_O 2) cosTheta_i)))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* (pow cosTheta_O 2) cosTheta_i)))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) cosTheta_O)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_O 2)))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* 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)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))) cosTheta_O)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_i))) cosTheta_O)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 3))))) cosTheta_O))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) cosTheta_O)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_i))) cosTheta_O)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i))) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_O)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))))
(+ (* sinTheta_i (- (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2)))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))) (/ (* sinTheta_O (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2)))))) (/ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) (* sinTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 4))) (* -1 (/ (* (pow sinTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3)))))) (* -1 (/ (* sinTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))
(pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(- (+ 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 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i)))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2)))))) (pow sinTheta_i 2)))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 3))))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))))) sinTheta_O) (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2)))))))) sinTheta_O))) (pow sinTheta_i 3)))) (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))) (pow sinTheta_i 2)))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O))) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_i 2)))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* 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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))) sinTheta_i)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_O)) sinTheta_i)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2)))))))) (* sinTheta_O sinTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3))))) sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))))) sinTheta_i)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_O)) sinTheta_i)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_i)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
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(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2)))))) (pow sinTheta_O 2)))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 3))))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))))) sinTheta_i) (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2)))))))) sinTheta_i))) (pow sinTheta_O 3)))) (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))) (pow sinTheta_O 2)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i))) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_O 2)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* 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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))) sinTheta_O)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_i)) sinTheta_O)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2)))))))) (* sinTheta_O sinTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3))))) sinTheta_O))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))))) sinTheta_O)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_i)) sinTheta_O)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_O)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -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))) (/ sinTheta_i v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (- (* -1 (* v (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 4)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow (+ (log 2) (log v)) 2) (- 6931/10000 (+ (log 1/2) (* -1 (log v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* 1/2 (/ (pow (+ (log 2) (log v)) 4) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))))))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 2)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))
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(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
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(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(+ (* -1 (/ (- (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 3)))) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) v)) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 4)))) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 3)))) v)) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) v)) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
84.0ms	v	@	0	((/ (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))))) (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (pow (log (* 2 v)) 2) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)))
47.0ms	v	@	-inf	((/ (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))))) (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (pow (log (* 2 v)) 2) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)))
44.0ms	cosTheta_O	@	inf	((/ (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))))) (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (pow (log (* 2 v)) 2) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)))
40.0ms	cosTheta_i	@	0	((/ (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))))) (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (pow (log (* 2 v)) 2) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)))
34.0ms	v	@	inf	((/ (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v))))) (/ (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (exp (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))))) (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (pow (log (* 2 v)) 2) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (/ 1/2 v)))) (pow (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) 2) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (exp (- (/ 1 v) 6931/10000)))

simplify303.0ms (2.4%)

Memory

14.2MiB live, 446.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3210	58303
0	8225	57486

Stop Event

1×	iter limit
1×	node limit

Counts

438 → 438

Calls

Call 1

Inputs
(/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(+ (* cosTheta_i (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
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sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 3)) (* (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (- (/ (pow cosTheta_O 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_O (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_O 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_O (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (+ (* (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow cosTheta_O 3) (pow (log (* 2 v)) 2)) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (+ (* -1 (/ (* (pow cosTheta_O 3) (pow (log (* 2 v)) 4)) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 5)))) (* -1/6 (/ (* (pow cosTheta_O 3) (pow (log (* 2 v)) 6)) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_O 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (+ (* -1 (/ (* cosTheta_O (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))
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(/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
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(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
(+ (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 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 (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_O (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) (* cosTheta_i (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (/ (* cosTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) (* cosTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (* -1 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))))) (/ (* cosTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v)) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- 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))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i))))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2)))))) (pow cosTheta_i 2)))) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))))) cosTheta_O)) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2)))))))) cosTheta_O)) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))))))) (pow cosTheta_i 3)))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))) (pow cosTheta_i 2)))))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) (* 6931/10000 (/ 1 cosTheta_i))))
(* cosTheta_i (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 2)))))))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* cosTheta_O (pow cosTheta_i 2))))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 2))))))))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* cosTheta_O (pow cosTheta_i 2))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 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)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) cosTheta_i)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_i 2)))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* 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 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))) cosTheta_i)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_O))) cosTheta_i)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2)))))))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 3))))) cosTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_O 2))))))) cosTheta_i)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_O))) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O))) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_i)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(+ (* cosTheta_O (- (+ (* cosTheta_O (- (+ (* cosTheta_O (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 3)) (* (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) 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1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* -1 (/ (* cosTheta_i (* (pow (log (* 2 v)) 2) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) 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2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))))) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (+ (* (+ (* 1/2 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))) (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i 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6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* -1 (/ (* cosTheta_i (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))))
(+ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 3)) (* (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2)))) 2)) (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))))
(+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 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 (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 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 (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3)))))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))) (pow cosTheta_O 2)))) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) cosTheta_i)) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))))) cosTheta_i)) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))))))) (pow cosTheta_O 3)))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))) (pow cosTheta_O 2)))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(* cosTheta_O (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) (* 6931/10000 (/ 1 cosTheta_O))))
(* cosTheta_O (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) cosTheta_i))))))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* (pow cosTheta_O 2) cosTheta_i)))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* (pow cosTheta_O 2) cosTheta_i)))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) cosTheta_O)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_O 2)))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* 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)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))) cosTheta_O)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_i))) cosTheta_O)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) (* cosTheta_O cosTheta_i)) (+ (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 3))))) cosTheta_O))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) cosTheta_O)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_i))) cosTheta_O)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i))) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_O)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))))
(+ (* sinTheta_i (- (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2)))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))) (/ (* sinTheta_O (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2)))))) (/ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) (* sinTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 4))) (* -1 (/ (* (pow sinTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3)))))) (* -1 (/ (* sinTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v)))))
(pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(- (+ 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 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i)))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2)))))) (pow sinTheta_i 2)))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 3))))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))))) sinTheta_O) (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2)))))))) sinTheta_O))) (pow sinTheta_i 3)))) (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))) (pow sinTheta_i 2)))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O))) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_i 2)))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* 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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))) sinTheta_i)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_O)) sinTheta_i)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2)))))))) (* sinTheta_O sinTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_O 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3))))) sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_O 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_O 2))))))) sinTheta_i)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_O)) sinTheta_i)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_i)) (* 2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
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(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2)))))) (pow sinTheta_O 2)))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))))
(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3))) (+ (* -1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 3))))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))))) sinTheta_i) (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2)))))))) sinTheta_i))) (pow sinTheta_O 3)))) (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))) (pow sinTheta_O 2)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i))) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_O 2)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* 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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))) sinTheta_O)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_i)) sinTheta_O)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))))) (* sinTheta_O sinTheta_i))) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2)))))))) (* sinTheta_O sinTheta_i))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow sinTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3))))) sinTheta_O))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow sinTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow sinTheta_i 2))))))) sinTheta_O)) (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) sinTheta_i)) sinTheta_O)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_O)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -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))) (/ sinTheta_i v))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* v (- (* -1 (* v (+ (* -1 (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 4)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow (+ (log 2) (log v)) 2) (- 6931/10000 (+ (log 1/2) (* -1 (log v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* 1/2 (/ (pow (+ (log 2) (log v)) 4) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))))))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 2)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))
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(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(+ (* -1 (/ (- (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 3)))) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) v)) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 4)))) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 3)))) v)) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) v)) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))

Outputs
(/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(+ (* cosTheta_i (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_O (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_O (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
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#s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32))) (.f32 cosTheta_O cosTheta_O))))))) cosTheta_O) (.f32 (exp.f32 (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 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(.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 4 binary32))) (.f32 cosTheta_i cosTheta_i))) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (exp.f32 (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 (.f32 (exp.f32 (/.f32 (pow.f32 (-.f32 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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(.f32 cosTheta_i (+.f32 cosTheta_O (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))) (* 6931/10000 (/ 1 cosTheta_i))))
(.f32 cosTheta_i (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))))) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)))
(* cosTheta_i (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 2)))))))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* cosTheta_O (pow cosTheta_i 2))))))
(.f32 cosTheta_i (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v) (.f32 (/.f32 v cosTheta_O) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_i))))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (+ (/ (log (/ 1/2 v)) cosTheta_i) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 2))))))))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* cosTheta_O (pow cosTheta_i 2))))))
(.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (/.f32 (.f32 v (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) cosTheta_O))) (.f32 cosTheta_O (pow.f32 cosTheta_i #s(literal 3 binary32)))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (fma.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v) (.f32 (/.f32 v cosTheta_O) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_i)))))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i 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 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v)
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (-.f32 (+.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) cosTheta_i) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)))))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))))
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(.f32 (/.f32 v cosTheta_O) (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) cosTheta_i)
(/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i)) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_O)) cosTheta_i)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/.f32 (-.f32 (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32))) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i cosTheta_i)))) (.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 3 binary32))) (.f32 (pow.f32 cosTheta_O #s(literal 4 binary32)) (pow.f32 cosTheta_i #s(literal 3 binary32)))) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_O)) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32))) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (.f32 cosTheta_i cosTheta_i))) (.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i)))) cosTheta_i)
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 cosTheta_i cosTheta_i)) (.f32 v v))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 2 binary32) (.f32 (/.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_i 2)))))
(.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 2 binary32) (.f32 (/.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_i)))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) cosTheta_i)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (*.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_O))) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_i)))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 v (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) cosTheta_O)))) cosTheta_i) (/.f32 (.f32 v (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32))) cosTheta_O))) (neg.f32 (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) cosTheta_O))) cosTheta_i) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) #s(literal 6931/10000 binary32)) cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (+.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 6931/10000 binary32)) cosTheta_i) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(neg.f32 (/.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 (-.f32 (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32))) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i)) (/.f32 (.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_O cosTheta_O))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(neg.f32 (/.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 3 binary32))) (.f32 (pow.f32 cosTheta_O #s(literal 4 binary32)) cosTheta_i)) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32))) (pow.f32 cosTheta_O #s(literal 3 binary32)))) cosTheta_i)) (/.f32 (.f32 (.f32 (.f32 v v) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_O cosTheta_O))) cosTheta_i))) cosTheta_i))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* -1 (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (.f32 cosTheta_O (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (neg.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) cosTheta_i))) cosTheta_i) (/.f32 (.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) cosTheta_O (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(.f32 (neg.f32 cosTheta_i) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))))
(+ (* cosTheta_O (- (/ (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (- (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* v (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (/ (* cosTheta_i (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* v (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -1 (/ (* cosTheta_i (* (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* v (* (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))))))) (/ (exp (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (exp (/ (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
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(- (+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (+ (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))))) cosTheta_i)) (+ (* -1 (/ (* v (* (pow (log (* 2 v)) 2) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (pow cosTheta_i 2))) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2)))))))) cosTheta_i)) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 4) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 3))) (+ (* 1/6 (/ (* (pow v 3) (pow (log (* 2 v)) 6)) (pow cosTheta_i 3))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (pow cosTheta_i 3))))))) (pow cosTheta_O 3)))) (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (+ (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) (* cosTheta_O cosTheta_i)) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))) (pow cosTheta_O 2)))))
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(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(.f32 cosTheta_O (+.f32 cosTheta_i (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) cosTheta_O))))
(* cosTheta_O (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))) (* 6931/10000 (/ 1 cosTheta_O))))
(.f32 cosTheta_O (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))))) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)))
(* cosTheta_O (- (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) cosTheta_i))))))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* (pow cosTheta_O 2) cosTheta_i)))))
(.f32 cosTheta_O (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) cosTheta_i)))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) (.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (+ (/ (log (/ 1/2 v)) cosTheta_O) (+ (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)) (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) (* (pow cosTheta_O 2) cosTheta_i)))))
(.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (/.f32 (.f32 v (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) cosTheta_i))) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (.f32 (/.f32 v (.f32 cosTheta_O cosTheta_O)) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) cosTheta_i))))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 (.f32 (.f32 v (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal 2 binary32) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 6931/10000 binary32))) (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i)))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (-.f32 (+.f32 (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)))))
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) cosTheta_O)
(/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 v v) cosTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i cosTheta_i))) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_i)) cosTheta_O)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/.f32 (-.f32 (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32))) (.f32 (.f32 cosTheta_O cosTheta_O) (pow.f32 cosTheta_i #s(literal 3 binary32))))) (.f32 (/.f32 (.f32 v v) cosTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 cosTheta_i cosTheta_i)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 3 binary32))) (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 cosTheta_i #s(literal 4 binary32)))) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) cosTheta_i)) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32))) (.f32 (.f32 cosTheta_O cosTheta_O) (pow.f32 cosTheta_i #s(literal 3 binary32)))) (.f32 (/.f32 (.f32 v v) cosTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (*.f32 cosTheta_i cosTheta_i))))) cosTheta_O)
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 (/.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (pow cosTheta_O 2)))))
(.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 2 binary32) (.f32 (/.f32 cosTheta_i cosTheta_O) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)) (+.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_O)))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) cosTheta_O)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O v)) (*.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)) (/.f32 cosTheta_i v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (- (+ (* -1 (/ (* (pow v 2) (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 4))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow cosTheta_i 2))) (* 1/2 (/ (* (pow v 2) (pow (log (* 2 v)) 4)) (pow cosTheta_i 2))))) cosTheta_O)) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (log (* 2 v)) 2))) cosTheta_i))) cosTheta_O)))
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(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i)) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) cosTheta_i))) (* -1 (/ (* v (* (- 6931/10000 (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) 6931/10000) cosTheta_O)))))
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(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
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(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(.f32 sinTheta_i (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 #s(literal 1 binary32) sinTheta_i)))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i)))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (log (/ 1/2 v)) sinTheta_i))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O))) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
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(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
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(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
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(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
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(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
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(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
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(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
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(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(.f32 sinTheta_O (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(.f32 sinTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (log (/ 1/2 v)) sinTheta_O))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(.f32 sinTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O))))) (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i))) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(.f32 sinTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (.f32 (/.f32 v (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 v (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (/.f32 (.f32 (.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))) sinTheta_i))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) sinTheta_i)))))) (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v)))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(.f32 sinTheta_O (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) sinTheta_O)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(.f32 sinTheta_O (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v))))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(neg.f32 (/.f32 (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_i sinTheta_i)))) sinTheta_O))
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 3 binary32))))) (neg.f32 (.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_i sinTheta_i))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (pow.f32 sinTheta_i #s(literal 4 binary32)))))) (fma.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_i sinTheta_i)) (.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 3 binary32)))))) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (.f32 (/.f32 sinTheta_i sinTheta_O) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O v))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (.f32 (/.f32 sinTheta_i sinTheta_O) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) v)) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 sinTheta_O sinTheta_O)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 sinTheta_i v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v)))
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (log (/ 1/2 v)) (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) (- (+ (log (/ 1/2 v)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)) (/ sinTheta_i v))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 v sinTheta_O) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (.f32 v (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (/.f32 (.f32 (.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))) sinTheta_i))) sinTheta_i) (-.f32 (/.f32 (.f32 v (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (/.f32 (.f32 (.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))))) sinTheta_i))) sinTheta_O) (fma.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) sinTheta_O))))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(neg.f32 (/.f32 (+.f32 (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_i) (.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_i sinTheta_i)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (neg.f32 (.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) sinTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 3 binary32))))) (/.f32 (.f32 (.f32 v v) (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_i sinTheta_i))) sinTheta_O) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (/ 1 v))))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) sinTheta_O) (/.f32 (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (pow.f32 sinTheta_i #s(literal 4 binary32)))) (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (pow.f32 sinTheta_i #s(literal 3 binary32))))) sinTheta_O)) (/.f32 (.f32 (.f32 v v) (.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_i sinTheta_i))) sinTheta_O) (/.f32 (.f32 v (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_i)) sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) sinTheta_O)) (* 2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) sinTheta_O) (.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_i (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) v))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) sinTheta_O)) (/.f32 (neg.f32 sinTheta_i) v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)))
(+ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* v (* (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (/ 1/2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ (log 2) (log v)) 2))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(+.f32 (exp.f32 (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 (/.f32 (.f32 (.f32 v (exp.f32 (/.f32 (pow.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) #s(literal 2 binary32)) (-.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (pow.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v)) #s(literal 2 binary32))) (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))))
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(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) (exp.f32 #s(literal -6931/10000 binary32)))) (+.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32)))) (fma.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))) (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))))) (fma.f32 #s(literal -1/6 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))))))) v) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (exp.f32 #s(literal -6931/10000 binary32)))) (fma.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal -6931/10000 binary32))) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))) (.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))))) v)) (*.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))) v) (exp.f32 (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))
(exp (+ (log -1/2) (log (/ -1 v))))
(exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(fma.f32 (exp.f32 (log.f32 #s(literal -1/2 binary32))) (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(fma.f32 (exp.f32 (log.f32 #s(literal -1/2 binary32))) (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(fma.f32 (exp.f32 (log.f32 #s(literal -1/2 binary32))) (exp.f32 (log.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32))) v) (.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))) (pow.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))
(/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) v) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (- (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 3)))) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) v)) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (.f32 (/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) v) (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32)))) (/.f32 (.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))) v) (/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (* v (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 4)))) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 3)))) v)) (* -1 (/ (* (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (pow (- 6931/10000 (+ (log -1/2) (log (/ -1 v)))) 2)))) v)) (/ (pow (+ (log -2) (* -1 (log (/ -1 v)))) 2) (- 6931/10000 (+ (log -1/2) (log (/ -1 v))))))
(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (.f32 #s(literal -1 binary32) (-.f32 (.f32 (/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) v) (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) #s(literal 3 binary32)) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 4 binary32)))) (/.f32 (.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (pow.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 3 binary32))))) v) (/.f32 (.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i))) (pow.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))) v) (/.f32 (pow.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32)) (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+.f32 #s(literal 48038761/100000000 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -6931/5000 binary32) (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (neg.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) #s(literal 2 binary32)) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/2 (/ (exp -6931/10000) v))) v)))
(+.f32 (exp.f32 #s(literal -6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1 (/ (+ (* 1/6 (/ (exp -6931/10000) v)) (* 1/2 (exp -6931/10000))) v))) v)))
(+.f32 (exp.f32 #s(literal -6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 #s(literal -6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) v))) v)))

rewrite298.0ms (2.4%)

Memory

-7.4MiB live, 307.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	417
0	93	532
1	430	353
2	3604	353
0	9698	337

Stop Event

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

Counts

25 → 1 142

Calls

Call 1

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

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

eval768.0ms (6.1%)

Memory: 32.3MiB live, 571.0MiB allocated
Compiler: Compiled 187 130 to 11 523 computations (93.8% saved)

prune179.0ms (1.4%)

Memory

-19.9MiB live, 141.9MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	2 453	28	2 481
Fresh	2	1	3
Picked	5	0	5
Done	0	0	0
Total	2 460	29	2 489

Accuracy

99.9%

Counts

2 489 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (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))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	86.2%	(/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	96.2%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (*.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	86.2%	(/.f32 (exp.f32 (+.f32 (/.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 (.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))))
	64.4%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	86.2%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
	47.9%	(/.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))) (/.f32 (exp.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)))) (exp.f32 (/.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))))))
	84.7%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v)))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	35.7%	(/.f32 (exp.f32 (.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (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)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
▶	91.7%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
	86.2%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
▶	19.9%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32))) (+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v)))))
	97.6%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v))))
	9.9%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))))
	13.9%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))) sinTheta_O)))))))
	99.7%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
	96.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 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)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v))))
	99.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
	99.3%	(exp.f32 (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))))
	99.7%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 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 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
▶	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))

Compiler

Compiled 2 004 to 1 472 computations (26.5% saved)

simplify140.0ms (1.1%)

Memory

-14.4MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32))) (+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
cost-diff	0	(exp.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32))) (+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))
cost-diff	192	(+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
cost-diff	352	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32))) (+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))))
cost-diff	0	(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
cost-diff	0	#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cost-diff	0	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
cost-diff	3456	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v))
cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
cost-diff	0	(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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))))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
cost-diff	192	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cost-diff	416	(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
cost-diff	2944	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	633
0	109	623
1	210	615
2	454	613
3	1452	600
4	6343	600
0	8360	600

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

localize287.0ms (2.3%)

Memory

-29.3MiB live, 246.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.232753759768442	(pow.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32))
accuracy	0.4677925293053261	(pow.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))
accuracy	12.162559849122513	(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32))) (+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
accuracy	12.747014742494198	(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
accuracy	1.7778141927347333	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	2.1199156712927385	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
accuracy	2.5041789908961616	#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
accuracy	7.68369638024818	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
accuracy	0.018778730164287515	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v))))
accuracy	0.0234375	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.08529745704783395	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy	9.692768676425644	#s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))
accuracy	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.265625	(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
accuracy	28.111443197515687	#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 1/2 binary32)) v))
accuracy	0.02734375	(+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
accuracy	0.0546875	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
accuracy	0.0804923016440798	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
accuracy	7.68369638024818	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

Samples

204.0ms	236×	0	valid
8.0ms	20×	0	exit

Compiler

Compiled 1 192 to 138 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 63.0ms (36.8% of total)

ival-mult: 49.0ms (28.6% of total)

ival-exp: 13.0ms (7.6% of total)

ival-sub: 10.0ms (5.8% of total)

ival-neg: 9.0ms (5.3% of total)

ival-add: 8.0ms (4.7% of total)

ival-log: 8.0ms (4.7% of total)

ival-pow2: 5.0ms (2.9% of total)

const: 4.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series316.0ms (2.5%)

Memory

23.1MiB live, 295.6MiB allocated

Counts

26 → 334

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
59.0ms	v	@	inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 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))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))))) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)))) (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/ (* sinTheta_O sinTheta_i) v) (+ 6931/10000 (log (/ 1/2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_i sinTheta_O) 1) (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2))
53.0ms	v	@	-inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 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))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))))) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)))) (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/ (* sinTheta_O sinTheta_i) v) (+ 6931/10000 (log (/ 1/2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_i sinTheta_O) 1) (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2))
31.0ms	sinTheta_O	@	0	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 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))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))))) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)))) (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/ (* sinTheta_O sinTheta_i) v) (+ 6931/10000 (log (/ 1/2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_i sinTheta_O) 1) (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2))
31.0ms	v	@	0	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 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))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))))) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)))) (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/ (* sinTheta_O sinTheta_i) v) (+ 6931/10000 (log (/ 1/2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_i sinTheta_O) 1) (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2))
18.0ms	cosTheta_O	@	inf	((exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 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))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))))) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (exp (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)))) (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/ (* sinTheta_O sinTheta_i) v) (+ 6931/10000 (log (/ 1/2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_i sinTheta_O) 1) (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2))

simplify291.0ms (2.3%)

Memory

-3.2MiB live, 392.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2076	35831
1	6974	35243
0	8207	33353

Stop Event

1×	iter limit
1×	node limit

Counts

334 → 334

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

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

rewrite199.0ms (1.6%)

Memory

-3.8MiB live, 272.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	471
0	109	461
1	530	373
2	4988	373
0	8280	373

Stop Event

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

Counts

26 → 567

Calls

Call 1

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

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

eval233.0ms (1.8%)

Memory: 8.3MiB live, 358.8MiB allocated
Compiler: Compiled 75 521 to 5 584 computations (92.6% saved)

prune42.0ms (0.3%)

Memory

8.9MiB live, 133.0MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	991	9	1 000
Fresh	8	16	24
Picked	4	1	5
Done	0	0	0
Total	1 003	26	1 029

Accuracy

99.9%

Counts

1 029 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.0%	(/.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (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))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	86.2%	(/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	96.2%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i v)) (*.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))))) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	86.2%	(/.f32 (exp.f32 (+.f32 (/.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 (.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))))
	62.8%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	86.2%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
	47.9%	(/.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))) (/.f32 (exp.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)))) (exp.f32 (/.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))))))
	85.5%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v)))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	91.7%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.5%	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
▶	86.2%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v)))))
	9.9%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))))
	13.9%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	99.7%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
	96.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 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)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
▶	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
▶	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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))))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(approx (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))))
	13.9%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))))
	97.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))))) sinTheta_i))))
▶	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i v)))))))
	96.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))

Compiler

Compiled 2 000 to 1 435 computations (28.3% saved)

simplify145.0ms (1.2%)

Memory

13.1MiB live, 170.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)))
cost-diff	0	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v))))
cost-diff	160	(/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)
cost-diff	3456	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(log.f32 (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
cost-diff	3136	(exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
cost-diff	3680	(.f32 (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v))
cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v))))
cost-diff	0	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
cost-diff	0	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #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(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
cost-diff	0	(exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i 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))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i v)))))))
cost-diff	160	(*.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i v)))
cost-diff	832	(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	753
0	126	739
1	248	732
2	538	720
3	1554	704
4	5238	688
0	8218	675

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

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

localize189.0ms (1.5%)

Memory

-3.0MiB live, 302.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.265625	(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
accuracy	1.7778141927347333	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	2.1199156712927385	(exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v))))
accuracy	2.5041789908961616	#s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)))
accuracy	0.08670330058332763	(exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy	1.2031250188106004	(.f32 (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	2.138535696180664	(exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
accuracy	4.937640670851788	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
accuracy	0.018778730164287515	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v))))
accuracy	0.0234375	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.08529745704783395	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v)))
accuracy	11.181604597934554	#s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
accuracy	0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.018778730164287515	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
accuracy	0.08529745704783395	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32)))
accuracy	28.85029407711455	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
accuracy	0.03515625	(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))
accuracy	0.0804923016440798	(exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i v))))))
accuracy	0.1484375	(/.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)
accuracy	12.99145247701958	(.f32 (neg.f32 sinTheta_O) (.f32 #s(literal -1 binary32) (-.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) (/.f32 sinTheta_i v))))

Samples

121.0ms	236×	0	valid
8.0ms	20×	0	exit

Compiler

Compiled 1 305 to 156 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 22.0ms (21.6% of total)

ival-exp: 20.0ms (19.7% of total)

ival-mult: 20.0ms (19.7% of total)

ival-sub: 13.0ms (12.8% of total)

ival-log: 13.0ms (12.8% of total)

ival-add: 7.0ms (6.9% of total)

const: 4.0ms (3.9% of total)

exact: 1.0ms (1% of total)

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

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

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

series623.0ms (4.9%)

Memory

-138.2MiB live, 632.9MiB allocated

Counts

25 → 291

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
351.0ms	sinTheta_i	@	-inf	((* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (/ (- (* (- (log 1/2) (log v)) v) (* sinTheta_i sinTheta_O)) v) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (- (log (/ 1/2 v)) (/ 1 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (exp (- (/ 1 v) 6931/10000)) (- (log 1/2) (log v)))
49.0ms	sinTheta_O	@	-inf	((* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (/ (- (* (- (log 1/2) (log v)) v) (* sinTheta_i sinTheta_O)) v) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (- (log (/ 1/2 v)) (/ 1 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (exp (- (/ 1 v) 6931/10000)) (- (log 1/2) (log v)))
34.0ms	v	@	-inf	((* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (/ (- (* (- (log 1/2) (log v)) v) (* sinTheta_i sinTheta_O)) v) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (- (log (/ 1/2 v)) (/ 1 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (exp (- (/ 1 v) 6931/10000)) (- (log 1/2) (log v)))
32.0ms	v	@	0	((* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (/ (- (* (- (log 1/2) (log v)) v) (* sinTheta_i sinTheta_O)) v) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (- (log (/ 1/2 v)) (/ 1 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (exp (- (/ 1 v) 6931/10000)) (- (log 1/2) (log v)))
28.0ms	v	@	inf	((* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (- (log (* 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (log (* 2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (/ (- (* (- (log 1/2) (log v)) v) (* sinTheta_i sinTheta_O)) v) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (- (log (/ 1/2 v)) (/ 1 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (exp (- (/ 1 v) 6931/10000)) (- (log 1/2) (log v)))

simplify224.0ms (1.8%)

Memory

44.2MiB live, 233.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1489	10889
1	4888	10318
0	8637	9876

Stop Event

1×	iter limit
1×	node limit

Counts

291 → 291

Calls

Call 1

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

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

rewrite210.0ms (1.7%)

Memory

-9.1MiB live, 216.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	499
0	124	482
1	601	478
2	6120	478
0	8655	471

Stop Event

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

Counts

25 → 433

Calls

Call 1

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

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

eval136.0ms (1.1%)

Memory: 11.9MiB live, 249.9MiB allocated
Compiler: Compiled 41 610 to 4 806 computations (88.4% saved)

prune44.0ms (0.3%)

Memory

-21.9MiB live, 99.6MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	767	11	778
Fresh	5	15	20
Picked	3	2	5
Done	0	1	1
Total	775	29	804

Accuracy

99.9%

Counts

804 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(/.f32 (pow.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (-.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (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))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	63.1%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	86.2%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (exp.f32 (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
	47.9%	(/.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))) (/.f32 (exp.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)))) (exp.f32 (/.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))))))
	85.5%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(approx (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v) (.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v)))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	91.7%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v) (.f32 sinTheta_i sinTheta_O)) v)))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 #s(literal -6931/10000 binary32))))
	58.9%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) v) v) (.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v v))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	91.7%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 (-.f32 (.f32 (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v))) v) (*.f32 sinTheta_i sinTheta_O)) v)))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	90.1%	(/.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) #s(approx (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) #s(approx (/ (- (* (- (log 1/2) (log v)) v) (* sinTheta_i sinTheta_O)) v) (*.f32 (neg.f32 sinTheta_i) (-.f32 (/.f32 sinTheta_O v) (/.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) sinTheta_i))))))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.5%	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1/2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))))
	99.5%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx (exp (- (log ( 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
	99.5%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx (exp (- (log ( 2 v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v))) (*.f32 (exp.f32 (log.f32 v)) #s(literal 2 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32)) v)))))
	9.9%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (/ (- (pow (- (log (* 2 v)) 6931/10000) 2) (pow (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 2)) (+ (- (log (* 2 v)) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))))
	13.9%	(/.f32 #s(literal 1 binary32) (exp.f32 #s(approx (- (log (* 2 v)) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	96.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 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)))) (exp.f32 (/.f32 (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))))))
✓	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(approx (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v))))
	97.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
✓	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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))))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(approx (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))))
	13.9%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))))
	97.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) #s(approx ( -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i) v))))))
	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) #s(approx ( -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) (neg.f32 sinTheta_O)))))))
	13.9%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (.f32 (neg.f32 sinTheta_O) #s(approx ( -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v))) (/.f32 sinTheta_i v))))))
	96.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
	96.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) #s(approx (* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32)) v)))))
	98.1%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 #s(approx (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) #s(approx (* (neg sinTheta_O) (* -1 (- (/ (+ 6931/10000 (- (log (/ 1/2 v)) (/ 1 v))) sinTheta_O) (/ sinTheta_i v)))) (*.f32 (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O)))))

Compiler

Compiled 3 630 to 1 341 computations (63.1% saved)

regimes134.0ms (1.1%)

Memory

14.8MiB live, 207.3MiB allocated

Counts

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

Calls

9 calls:

17.0ms	cosTheta_O
16.0ms	cosTheta_i
16.0ms	sinTheta_O
15.0ms	(*.f32 cosTheta_i cosTheta_O)
14.0ms	(+.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))))

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes87.0ms (0.7%)

Memory

20.6MiB live, 138.6MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

23.0ms	sinTheta_i
12.0ms	v
9.0ms	(+.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))))
8.0ms	cosTheta_O
7.0ms	sinTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes87.0ms (0.7%)

Memory

2.0MiB live, 77.0MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

22.0ms	(*.f32 cosTheta_i cosTheta_O)
21.0ms	sinTheta_i
6.0ms	(+.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))))
6.0ms	cosTheta_O
6.0ms	sinTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes103.0ms (0.8%)

Memory

-24.1MiB live, 57.4MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

38.0ms	cosTheta_i
34.0ms	(+.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))))
4.0ms	cosTheta_O
4.0ms	sinTheta_O
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
98.9%	1	`(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)))))`
98.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes59.0ms (0.5%)

Memory

17.0MiB live, 54.8MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

26.0ms	sinTheta_i
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))))
4.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
97.6%	1	`cosTheta_i`
97.6%	1	`cosTheta_O`
97.6%	1	`sinTheta_i`
97.6%	1	`sinTheta_O`
97.6%	1	`v`
97.6%	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)))))`
97.6%	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))))`
97.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes42.0ms (0.3%)

Memory

-2.3MiB live, 73.4MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

8.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
7.0ms	sinTheta_O
4.0ms	cosTheta_i
4.0ms	cosTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
84.9%	1	`sinTheta_O`
84.9%	1	`cosTheta_O`
84.9%	1	`sinTheta_i`
84.9%	1	`v`
84.9%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
84.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
84.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
84.9%	1	`cosTheta_i`
84.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes26.0ms (0.2%)

Memory

1.4MiB live, 45.6MiB allocated

Counts

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

Calls

9 calls:

6.0ms	cosTheta_O
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	sinTheta_i
2.0ms	v
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
48.6%	1	`cosTheta_i`
48.6%	1	`sinTheta_O`
48.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
48.6%	1	`cosTheta_O`
48.6%	1	`sinTheta_i`
48.6%	1	`v`
48.6%	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)))))`
48.6%	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))))`
48.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes23.0ms (0.2%)

Memory

6.0MiB live, 44.2MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

6.0ms	cosTheta_O
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	v
2.0ms	sinTheta_i
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
13.9%	1	`cosTheta_i`
13.9%	1	`sinTheta_O`
13.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
13.9%	1	`cosTheta_O`
13.9%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
13.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
13.9%	1	`sinTheta_i`
13.9%	1	`v`
13.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes21.0ms (0.2%)

Memory

5.9MiB live, 44.3MiB allocated

Counts

3 → 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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))

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

Outputs

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

Calls

9 calls:

5.0ms	(*.f32 cosTheta_i cosTheta_O)
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	cosTheta_O
2.0ms	cosTheta_i
2.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
13.9%	1	`cosTheta_O`
13.9%	1	`cosTheta_i`
13.9%	1	`v`
13.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
13.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
13.9%	1	`sinTheta_O`
13.9%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
13.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
13.9%	1	`sinTheta_i`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes18.0ms (0.1%)

Memory

0.7MiB live, 39.5MiB allocated

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 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))

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

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

Calls

9 calls:

4.0ms	(*.f32 cosTheta_i cosTheta_O)
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	cosTheta_O
2.0ms	v
2.0ms	sinTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes15.0ms (0.1%)

Memory

-9.7MiB live, 34.3MiB allocated

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

Calls

9 calls:

4.0ms	cosTheta_O
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))))
1.0ms	sinTheta_i
1.0ms	v
1.0ms	cosTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

simplify62.0ms (0.5%)

Memory

-4.2MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	112	539
1	155	539
2	205	539
3	255	539
4	284	538
5	313	538
6	347	538
7	390	538
8	547	538
9	775	538
10	937	538
11	1091	538
12	1235	538
13	1309	538
14	1348	538
15	1361	538
16	1368	538

Stop Event

1×

saturated

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

soundness1.2s (9.2%)

Memory

14.6MiB live, 810.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1489	10889
1	4888	10318
0	8637	9876
0	3210	58303
0	8225	57486
0	326	1885
1	1054	1815
2	3693	1627
0	8207	1506
0	21	83
0	34	71
1	147	64
2	1507	64
0	8245	64
0	59	417
0	93	532
1	430	353
2	3604	353
0	9698	337
0	2076	35831
1	6974	35243
0	8207	33353

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

Compiler

Compiled 944 to 545 computations (42.3% saved)

preprocess118.0ms (0.9%)

Memory: 5.7MiB live, 162.3MiB allocated
Remove: (sort cosTheta_i cosTheta_O)
Compiler: Compiled 5 806 to 3 334 computations (42.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze565.0ms (4.5%)

sample3.0s (23.8%)

explain515.0ms (4.1%)

preprocess156.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify147.0ms (1.2%)

localize109.0ms (0.9%)

series39.0ms (0.3%)

simplify175.0ms (1.4%)

rewrite363.0ms (2.9%)

eval126.0ms (1%)

prune16.0ms (0.1%)

simplify124.0ms (1%)

localize229.0ms (1.8%)

series465.0ms (3.7%)

simplify303.0ms (2.4%)

rewrite298.0ms (2.4%)

eval768.0ms (6.1%)

prune179.0ms (1.4%)

simplify140.0ms (1.1%)

localize287.0ms (2.3%)

series316.0ms (2.5%)

simplify291.0ms (2.3%)

rewrite199.0ms (1.6%)

eval233.0ms (1.8%)

prune42.0ms (0.3%)

simplify145.0ms (1.2%)

localize189.0ms (1.5%)

series623.0ms (4.9%)

simplify224.0ms (1.8%)

rewrite210.0ms (1.7%)

eval136.0ms (1.1%)

prune44.0ms (0.3%)

regimes134.0ms (1.1%)

regimes87.0ms (0.7%)

regimes87.0ms (0.7%)

regimes103.0ms (0.8%)

regimes59.0ms (0.5%)

regimes42.0ms (0.3%)

regimes26.0ms (0.2%)

regimes23.0ms (0.2%)

regimes21.0ms (0.2%)

regimes18.0ms (0.1%)

regimes15.0ms (0.1%)

simplify62.0ms (0.5%)

soundness1.2s (9.2%)

preprocess118.0ms (0.9%)

end0.0ms (0%)

Profiling