Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze500.0ms (4.5%)

Memory

13.3MiB live, 645.8MiB 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)

sample2.7s (24.2%)

Memory

89.9MiB live, 3 600.7MiB allocated

Samples

2.1s	8 256×	0	valid
25.0ms	130×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

const: 445.0ms (26.6% of total)

ival-<=: 273.0ms (16.3% of total)

ival-div: 272.0ms (16.3% of total)

ival-mult: 245.0ms (14.6% of total)

ival-sub: 105.0ms (6.3% of total)

ival-log: 105.0ms (6.3% of total)

ival-add: 84.0ms (5% of total)

ival-exp: 66.0ms (3.9% of total)

ival-and: 57.0ms (3.4% of total)

exact: 17.0ms (1% of total)

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

Bogosity

explain396.0ms (3.5%)

Memory

1.3MiB live, 565.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	0	-	100	(-2.8088598583749243e-36 1.210516825667085e-10 1.7604168211636717e-22 -1.2980571517613382e-31 6.830938995259998e-37)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
98	0	-	98	(2.416215964816742e-33 -3.3324641833805915e-32 3.96146298002522e-15 -1.1815964029437964e-7 7.17272473471153e-33)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	5	(-2.398976128858976e-8 5.453177068182133e-32 2.8694923770444802e-8 8.149444511218462e-6 0.0030901888385415077)	1	(2.6987087468254388e-33 -6.082591020722376e-39 -4.767485132066584e-33 -7.523341059071632e-36 0.026814762502908707)	`(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	5	2

Confusion

	Predicted +	Predicted -
+	0	1
-	5	250

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	5	1	249

Precision?

0.14285714285714285

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

146.0ms

512×

valid

Compiler

Compiled 561 to 145 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-exp: 33.0ms (39.8% of total)

ival-div: 14.0ms (16.9% of total)

ival-mult: 13.0ms (15.7% of total)

const: 8.0ms (9.7% of total)

ival-log: 6.0ms (7.2% of total)

ival-add: 4.0ms (4.8% of total)

ival-sub: 4.0ms (4.8% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

preprocess188.0ms (1.7%)

Memory

-7.1MiB live, 184.3MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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

▶

99.9%

(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)

simplify374.0ms (3.3%)

Memory

-36.5MiB live, 80.5MiB 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)

localize70.0ms (0.6%)

Memory

0.5MiB live, 71.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.046875	(+.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))
accuracy	0.06478500976844201	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	8.012982161381624	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	8.496469210566095	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

58.0ms

256×

valid

Compiler

Compiled 268 to 44 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 20.0ms (43.5% of total)

ival-sub: 10.0ms (21.7% of total)

ival-mult: 5.0ms (10.9% of total)

const: 4.0ms (8.7% of total)

ival-log: 3.0ms (6.5% of total)

ival-exp: 2.0ms (4.3% of total)

ival-add: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.6%)

Memory

8.5MiB live, 62.0MiB 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 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_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
42.0ms	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) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_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) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_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) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_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) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	cosTheta_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) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))

simplify223.0ms (2%)

Memory

-13.0MiB live, 175.7MiB 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)

rewrite611.0ms (5.5%)

Memory

5.0MiB live, 327.2MiB 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 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_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))))
(.f32 (-.f32 (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32)) (.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.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)))

eval324.0ms (2.9%)

Memory: 14.2MiB live, 129.3MiB allocated
Compiler: Compiled 25 224 to 3 498 computations (86.1% saved)

prune71.0ms (0.6%)

Memory

-0.1MiB live, 37.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	659	6	665
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	660	6	666

Accuracy

99.9%

Counts

666 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.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))))))
	85.3%	(/.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))))
▶	99.8%	(.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))))
▶	99.9%	(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))))
▶	15.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
▶	4.5%	#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 390 to 286 computations (26.7% saved)

simplify391.0ms (3.5%)

Memory

-8.3MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.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 (+.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)))
cost-diff	64	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	2944	(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))))
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	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.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))))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
cost-diff	96	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 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: 3 (0.0ms)

Iter	Nodes	Cost
0	56	622
0	87	592
1	162	576
2	377	576
3	1242	572
4	5533	572
0	8482	572

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

localize171.0ms (1.5%)

Memory

5.4MiB live, 197.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(-.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)))
accuracy	0.046338427177964034	(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))))
accuracy	0.046875	(+.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	0.05078125	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.03167392365928973	(.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	0.032577539073768064	(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	0.046875	(+.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	0.05078125	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.03167392365928973	(*.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))))
accuracy	0.032577539073768064	(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)))
accuracy	0.5993194480629066	(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
accuracy	31.31428790241812	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
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	0.3203125	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	30.554731418292416	#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	0.25619125976844204	(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	0.33984375	(/.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	0.5091400390737681	(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
accuracy	14.903868355525999	(/.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

131.0ms

256×

valid

Compiler

Compiled 1 229 to 115 computations (90.6% saved)

Precisions

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

ival-sub: 29.0ms (27.1% of total)

ival-mult: 19.0ms (17.8% of total)

ival-div: 16.0ms (15% of total)

ival-exp: 14.0ms (13.1% of total)

ival-log: 13.0ms (12.2% of total)

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

ival-pow2: 5.0ms (4.7% of total)

const: 4.0ms (3.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series359.0ms (3.2%)

Memory

37.0MiB live, 542.3MiB allocated

Counts

23 → 378

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

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

Calls

15 calls:

Time	Variable		Point	Expression
75.0ms	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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 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))) (exp (- (+ 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)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) 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) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
29.0ms	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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 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))) (exp (- (+ 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)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) 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) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
26.0ms	sinTheta_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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 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))) (exp (- (+ 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)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) 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) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
25.0ms	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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 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))) (exp (- (+ 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)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) 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) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))
25.0ms	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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 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))) (exp (- (+ 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)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) 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) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))

simplify334.0ms (3%)

Memory

-16.3MiB live, 567.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2807	54002
0	8434	50875

Stop Event

1×	iter limit
1×	node limit

Counts

378 → 378

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

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

rewrite275.0ms (2.5%)

Memory

-18.8MiB live, 408.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	403
0	87	454
1	393	325
2	3248	325
0	8795	325

Stop Event

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

Counts

23 → 859

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

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 (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)) (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 (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 (.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))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)))))
(-.f32 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O))) (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O))))
(-.f32 (/.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)))))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O))
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_i cosTheta_O))
(fma.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O) (.f32 cosTheta_i cosTheta_O))
(fma.f32 sinTheta_i (neg.f32 sinTheta_O) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
(pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32)) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_O) (fma.f32 sinTheta_i sinTheta_O (.f32 cosTheta_i cosTheta_O)) (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 2 binary32))) (-.f32 (pow.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) (.f32 cosTheta_i cosTheta_O))
(+.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 sinTheta_i) sinTheta_O))

eval409.0ms (3.6%)

Memory: 16.0MiB live, 566.5MiB allocated
Compiler: Compiled 160 603 to 8 996 computations (94.4% saved)

prune47.0ms (0.4%)

Memory

10.1MiB live, 128.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 980	10	1 990
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	1 986	10	1 996

Accuracy

100.0%

Counts

1 996 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.5%	(/.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 #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)))))) (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))))))
▶	41.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
	98.6%	(.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))))))
	4.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.9%	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))
▶	99.5%	(exp.f32 (-.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)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
▶	4.5%	#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))
▶	4.5%	#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)))))
	99.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	42.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v)))) (exp.f32 #s(literal 6931/10000 binary32))))

Compiler

Compiled 722 to 524 computations (27.4% saved)

simplify133.0ms (1.2%)

Memory

8.1MiB live, 163.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 v)
cost-diff	0	(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
cost-diff	3136	(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
cost-diff	0	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
cost-diff	0	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
cost-diff	0	(+.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))
cost-diff	3136	(exp.f32 (-.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)) (log.f32 (*.f32 #s(literal 2 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	#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)))))
cost-diff	544	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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	(-.f32 #s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)) #s(literal 1 binary32))
cost-diff	0	(/.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 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	3136	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	439
0	87	426
1	166	420
2	346	410
3	933	410
4	3242	410
0	8295	410

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.3%)

Memory

17.2MiB live, 168.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
accuracy	0.0546875	(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
accuracy	0.05664925877910143	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
accuracy	23.79580559238289	(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
accuracy	0.046338427177964034	(exp.f32 (-.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)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.046875	(+.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))
accuracy	0.123745925084567	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
accuracy	0.5730193791065041	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.265625	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))))
accuracy	0.34375	(/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))
accuracy	30.554731418292416	#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)))))
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	0.26953125	(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
accuracy	30.554731418292416	#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	0.04296875	(-.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)) (log.f32 (.f32 #s(literal 2 binary32) v)))
accuracy	0.046338427177964034	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))
accuracy	0.046875	(+.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	12.081622655749928	#s(approx (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (*.f32 (neg.f32 sinTheta_O) sinTheta_i))

Samples

117.0ms

256×

valid

Compiler

Compiled 817 to 112 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-div: 32.0ms (36% of total)

const: 15.0ms (16.9% of total)

ival-mult: 10.0ms (11.2% of total)

ival-exp: 8.0ms (9% of total)

ival-sub: 8.0ms (9% of total)

ival-log: 8.0ms (9% of total)

ival-add: 7.0ms (7.9% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series186.0ms (1.7%)

Memory

-38.3MiB live, 164.4MiB allocated

Counts

24 → 191

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	sinTheta_O	@	-inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (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 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ v (* (exp 6931/10000) 1/2)) (+ (* cosTheta_O cosTheta_i) -1) (+ (* sinTheta_i sinTheta_O) 1) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
27.0ms	v	@	inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (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 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ v (* (exp 6931/10000) 1/2)) (+ (* cosTheta_O cosTheta_i) -1) (+ (* sinTheta_i sinTheta_O) 1) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
22.0ms	cosTheta_O	@	inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (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 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ v (* (exp 6931/10000) 1/2)) (+ (* cosTheta_O cosTheta_i) -1) (+ (* sinTheta_i sinTheta_O) 1) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
19.0ms	v	@	-inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (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 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ v (* (exp 6931/10000) 1/2)) (+ (* cosTheta_O cosTheta_i) -1) (+ (* sinTheta_i sinTheta_O) 1) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
15.0ms	v	@	0	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (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 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ v (* (exp 6931/10000) 1/2)) (+ (* cosTheta_O cosTheta_i) -1) (+ (* sinTheta_i sinTheta_O) 1) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))

simplify210.0ms (1.9%)

Memory

7.7MiB live, 287.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	6632
1	3242	6225
0	9002	5843

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 191

Calls

Call 1

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

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

rewrite167.0ms (1.5%)

Memory

42.6MiB live, 310.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	342
0	87	326
1	424	314
2	3976	314
0	8197	314

Stop Event

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

Counts

24 → 516

Calls

Call 1

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

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

eval129.0ms (1.2%)

Memory: -29.9MiB live, 246.9MiB allocated
Compiler: Compiled 26 223 to 3 103 computations (88.2% saved)

prune21.0ms (0.2%)

Memory

30.0MiB live, 69.3MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	643	5	648
Fresh	0	5	5
Picked	4	1	5
Done	0	0	0
Total	647	11	658

Accuracy

100.0%

Counts

658 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(/.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 #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)))))) (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))))))
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(approx (+ ( sinTheta_i sinTheta_O) 1) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
▶	12.3%	(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	13.5%	(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)))))
	98.6%	(.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))))))
▶	4.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
✓	4.5%	#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))
	4.5%	#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 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))
▶	99.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
▶	43.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v)))) (exp.f32 #s(literal 6931/10000 binary32))))

Compiler

Compiled 756 to 551 computations (27.1% saved)

simplify148.0ms (1.3%)

Memory

-33.7MiB live, 126.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	473
0	94	458
1	183	439
2	392	432
3	1130	432
4	3699	432
5	7490	432
0	8045	426

Stop Event

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

Calls

Call 1

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

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

localize439.0ms (3.9%)

Memory

-167.4MiB live, 252.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v)))) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.021816259768442016	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v))))
accuracy	0.028671289073768064	(exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v)))
accuracy	0.29182666263689966	(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
accuracy	0.03167392365928973	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.032577539073768064	(exp.f32 #s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
accuracy	0.05078125	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
accuracy	0.11635855428218574	#s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
accuracy	0.025722509768442016	(exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
accuracy	0.05664925877910143	(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
accuracy	8.496469210566095	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	30.437432398352644	#s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
accuracy	0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.03167392365928973	(.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy	29.980766377272747	#s(approx (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.046338427177964034	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.046875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v))
accuracy	0.123745925084567	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)))
accuracy	0.3108331546389936	#s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))

Samples

408.0ms

256×

valid

Compiler

Compiled 836 to 134 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 388.0ms

ival-exp: 309.0ms (79.7% of total)

ival-sub: 19.0ms (4.9% of total)

ival-div: 16.0ms (4.1% of total)

ival-add: 14.0ms (3.6% of total)

ival-mult: 13.0ms (3.4% of total)

ival-log: 10.0ms (2.6% of total)

const: 4.0ms (1% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series74.0ms (0.7%)

Memory

10.3MiB live, 127.9MiB allocated

Counts

23 → 266

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	v	@	-inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (/ 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 6931/10000) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/ (* sinTheta_i sinTheta_O) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (* (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v))) (+ (* cosTheta_O cosTheta_i) -1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)) (+ (* sinTheta_i sinTheta_O) 1) (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))))
6.0ms	sinTheta_i	@	-inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (/ 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 6931/10000) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/ (* sinTheta_i sinTheta_O) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (* (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v))) (+ (* cosTheta_O cosTheta_i) -1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)) (+ (* sinTheta_i sinTheta_O) 1) (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))))
5.0ms	sinTheta_i	@	0	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (/ 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 6931/10000) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/ (* sinTheta_i sinTheta_O) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (* (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v))) (+ (* cosTheta_O cosTheta_i) -1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)) (+ (* sinTheta_i sinTheta_O) 1) (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))))
5.0ms	sinTheta_O	@	0	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (/ 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 6931/10000) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/ (* sinTheta_i sinTheta_O) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (* (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v))) (+ (* cosTheta_O cosTheta_i) -1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)) (+ (* sinTheta_i sinTheta_O) 1) (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))))
5.0ms	sinTheta_i	@	inf	((exp (- (+ 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (/ 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 6931/10000) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/ (* sinTheta_i sinTheta_O) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (* (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v))) (+ (* cosTheta_O cosTheta_i) -1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)) (+ (* sinTheta_i sinTheta_O) 1) (* (/ 1/2 v) (exp (/ (+ (* sinTheta_i sinTheta_O) 1) (neg v)))))

simplify192.0ms (1.7%)

Memory

2.9MiB live, 229.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1505	9923
1	4884	9673
0	8688	9056

Stop Event

1×	iter limit
1×	node limit

Counts

266 → 266

Calls

Call 1

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

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

rewrite158.0ms (1.4%)

Memory

9.6MiB live, 195.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	396
0	94	368
1	468	357
2	3888	357
0	8390	352

Stop Event

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

Counts

23 → 266

Calls

Call 1

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

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

eval100.0ms (0.9%)

Memory: -6.6MiB live, 164.7MiB allocated
Compiler: Compiled 28 914 to 2 874 computations (90.1% saved)

prune21.0ms (0.2%)

Memory

17.0MiB live, 62.9MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	576	4	580
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	581	10	591

Accuracy

100.0%

Counts

591 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(approx (+ ( sinTheta_i sinTheta_O) 1) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
✓	4.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
	99.8%	(.f32 (.f32 (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
	12.3%	(.f32 (exp.f32 (neg.f32 #s(approx (- (log v) (+ (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1/2 binary32))
✓	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
✓	4.5%	#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))
	4.5%	#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 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))
✓	99.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	99.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
	32.1%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32))))

Compiler

Compiled 1 191 to 468 computations (60.7% saved)

regimes67.0ms (0.6%)

Memory

-4.8MiB live, 108.6MiB 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) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -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 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))
(.f32 (exp.f32 (neg.f32 #s(approx (- (log v) (+ (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1/2 binary32))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 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 #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 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(exp.f32 (-.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)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))
(.f32 (.f32 (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(approx (+ ( sinTheta_i sinTheta_O) 1) #s(literal 1 binary32))) v) #s(literal 6931/10000 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))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (neg.f32 v)))) (exp.f32 #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(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))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #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 (/.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 (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 #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)))))) (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))))))

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))))))

Calls

9 calls:

8.0ms	cosTheta_i
8.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	(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)))))
7.0ms	(+.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

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes66.0ms (0.6%)

Memory

-0.2MiB live, 114.4MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

9.0ms	cosTheta_i
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	sinTheta_O
7.0ms	sinTheta_i
7.0ms	cosTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes46.0ms (0.4%)

Memory

-3.2MiB live, 78.9MiB 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) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -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 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))
(.f32 (exp.f32 (neg.f32 #s(approx (- (log v) (+ (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1/2 binary32))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 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 #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 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))

Outputs

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

Calls

9 calls:

10.0ms	cosTheta_O
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))))
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.8%	1	`cosTheta_i`
99.8%	1	`cosTheta_O`
99.8%	1	`sinTheta_i`
99.8%	1	`sinTheta_O`
99.8%	1	`v`
99.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes39.0ms (0.3%)

Memory

1.8MiB live, 77.5MiB allocated

Counts

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

Calls

9 calls:

9.0ms	cosTheta_i
7.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	sinTheta_i
3.0ms	(*.f32 cosTheta_i cosTheta_O)
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`
99.0%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.0%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes25.0ms (0.2%)

Memory

9.1MiB live, 47.6MiB 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) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -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 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))
(.f32 (exp.f32 (neg.f32 #s(approx (- (log v) (+ (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1/2 binary32))

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

Calls

9 calls:

6.0ms	sinTheta_i
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	cosTheta_i
2.0ms	cosTheta_O
2.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
12.3%	1	`cosTheta_i`
12.3%	1	`cosTheta_O`
12.3%	1	`sinTheta_i`
12.3%	1	`sinTheta_O`
12.3%	1	`v`
12.3%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
12.3%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
12.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
12.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes51.0ms (0.5%)

Memory

-13.8MiB live, 34.7MiB 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) #s(approx (exp (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -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 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))

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

Calls

9 calls:

34.0ms	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	sinTheta_i
2.0ms	cosTheta_i
2.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
4.5%	1	`sinTheta_O`
4.5%	1	`cosTheta_i`
4.5%	1	`sinTheta_i`
4.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
4.5%	1	`cosTheta_O`
4.5%	1	`v`
4.5%	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)))))`
4.5%	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))))`
4.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes32.0ms (0.3%)

Memory

-8.9MiB live, 29.4MiB 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:

21.0ms	cosTheta_i
2.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	sinTheta_i
1.0ms	v
1.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
4.5%	1	`cosTheta_i`
4.5%	1	`cosTheta_O`
4.5%	1	`sinTheta_i`
4.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
4.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
4.5%	1	`sinTheta_O`
4.5%	1	`v`
4.5%	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)))))`
4.5%	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)

simplify29.0ms (0.3%)

Memory

21.1MiB live, 57.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	268
1	118	268
2	145	268
3	166	268
4	175	268
5	177	268

Stop Event

1×

saturated

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

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

soundness1.1s (10.2%)

Memory

18.6MiB live, 898.8MiB 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
0	326	1885
1	1054	1815
2	3693	1627
0	8207	1506
0	975	6632
1	3242	6225
0	9002	5843
0	2807	54002
0	8434	50875
0	71	396
0	94	368
1	468	357
2	3888	357
0	8390	352
0	56	403
0	87	454
1	393	325
2	3248	325
0	8795	325
0	1505	9923
1	4884	9673
0	8688	9056

Stop Event

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

Compiler

Compiled 482 to 284 computations (41.1% saved)

preprocess63.0ms (0.6%)

Memory

2.3MiB live, 79.3MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 2 074 to 876 computations (57.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze500.0ms (4.5%)

sample2.7s (24.2%)

explain396.0ms (3.5%)

preprocess188.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify374.0ms (3.3%)

localize70.0ms (0.6%)

series68.0ms (0.6%)

simplify223.0ms (2%)

rewrite611.0ms (5.5%)

eval324.0ms (2.9%)

prune71.0ms (0.6%)

simplify391.0ms (3.5%)

localize171.0ms (1.5%)

series359.0ms (3.2%)

simplify334.0ms (3%)

rewrite275.0ms (2.5%)

eval409.0ms (3.6%)

prune47.0ms (0.4%)

simplify133.0ms (1.2%)

localize151.0ms (1.3%)

series186.0ms (1.7%)

simplify210.0ms (1.9%)

rewrite167.0ms (1.5%)

eval129.0ms (1.2%)

prune21.0ms (0.2%)

simplify148.0ms (1.3%)

localize439.0ms (3.9%)

series74.0ms (0.7%)

simplify192.0ms (1.7%)

rewrite158.0ms (1.4%)

eval100.0ms (0.9%)

prune21.0ms (0.2%)

regimes67.0ms (0.6%)

regimes66.0ms (0.6%)

regimes46.0ms (0.4%)

regimes39.0ms (0.3%)

regimes25.0ms (0.2%)

regimes51.0ms (0.5%)

regimes32.0ms (0.3%)

simplify29.0ms (0.3%)

soundness1.1s (10.2%)

preprocess63.0ms (0.6%)

end0.0ms (0%)

Profiling