Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze464.0ms (4.5%)

Memory

5.5MiB live, 710.8MiB 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)

sample2.9s (28.2%)

Memory

-88.9MiB live, 3 444.1MiB allocated

Samples

2.2s	8 256×	0	valid
22.0ms	112×	0	invalid

Precisions

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

const: 640.0ms (35.7% of total)

ival-div: 264.0ms (14.7% of total)

ival-<=: 252.0ms (14.1% of total)

ival-mult: 226.0ms (12.6% of total)

ival-log: 105.0ms (5.9% of total)

ival-add: 87.0ms (4.9% of total)

ival-sub: 73.0ms (4.1% of total)

ival-exp: 68.0ms (3.8% of total)

ival-and: 57.0ms (3.2% of total)

exact: 17.0ms (0.9% of total)

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

Bogosity

explain1.3s (12.2%)

Memory

-18.6MiB live, 294.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
97	6	(-2.0084078187210253e-6 -0.1803862601518631 -6.018660309559686e-37 3.2879608256419605e-15 9.32163928268892e-8)	35	(-1.5834866228175522e-30 4.007458018877704e-32 9.469936039173924e-33 -1.6489319675308534e-12 8.285856893053278e-6)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
75	8	(-7.104570675569852e-28 -3.3650756440552237e-22 7.021750645817773e-35 1.0857529743403992e-30 2.3441609300789423e-5)	21	(1.0022480241567155e-11 2.3282240780465506e-31 -1.031541672496026e-36 -1.6441698636510345e-17 3.6185968587670213e-22)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) 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	11	(7.766040498657565e-19 5.27801066740885e-12 -5.480723513917596e-11 3.6310751318098078e-28 0.0018359266687184572)	0	-	`(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	-	`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	11	1
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	7	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	86
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	7	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	87

Confusion

	Predicted +	Predicted -
+	0	0
-	25	231

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	25	1	230

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

109.0ms

512×

valid

Compiler

Compiled 428 to 88 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 38.0ms (44.7% of total)

const: 17.0ms (20% of total)

ival-mult: 10.0ms (11.8% of total)

ival-log: 6.0ms (7.1% of total)

ival-exp: 4.0ms (4.7% of total)

ival-add: 4.0ms (4.7% of total)

ival-sub: 4.0ms (4.7% of total)

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

exact: 1.0ms (1.2% of total)

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

preprocess208.0ms (2%)

Memory

33.3MiB live, 106.6MiB 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

0.9MiB live, 0.9MiB 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)

simplify180.0ms (1.7%)

Memory

-23.4MiB live, 93.8MiB 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)

localize61.0ms (0.6%)

Memory

38.6MiB live, 76.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
accuracy	0.08822250976844202	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	6.351686921905897	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	8.193501894587575	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

49.0ms

256×

valid

Compiler

Compiled 268 to 44 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 15.0ms (40.8% of total)

ival-div: 7.0ms (19% of total)

ival-mult: 5.0ms (13.6% of total)

ival-log: 3.0ms (8.2% of total)

ival-exp: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

series99.0ms (1%)

Memory

-16.2MiB live, 143.1MiB allocated

Counts

8 → 83

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

Calls

15 calls:

Time	Variable		Point	Expression
18.0ms	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)) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
16.0ms	sinTheta_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)) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
14.0ms	cosTheta_O	@	inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
11.0ms	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)) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
9.0ms	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)) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

simplify172.0ms (1.7%)

Memory

16.6MiB live, 359.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	384	2276
1	1251	2186
2	4401	2015
0	8861	1898

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

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

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

rewrite240.0ms (2.3%)

Memory

-1.8MiB live, 374.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	107
0	34	91
1	147	82
2	1507	82
0	8245	82

Stop Event

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

Counts

8 → 803

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

eval113.0ms (1.1%)

Memory: 11.8MiB live, 240.4MiB allocated
Compiler: Compiled 33 398 to 4 073 computations (87.8% saved)

prune52.0ms (0.5%)

Memory

-24.3MiB live, 59.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	861	6	867
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	862	6	868

Accuracy

99.9%

Counts

868 → 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))))))
▶	99.9%	(.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%	(.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)))
▶	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))))
▶	36.0%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))

Compiler

Compiled 382 to 280 computations (26.7% saved)

simplify134.0ms (1.3%)

Memory

14.1MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.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	3264	(.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)))
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	(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
cost-diff	0	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32)))
cost-diff	0	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))))
cost-diff	192	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
cost-diff	0	#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	(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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	449
0	78	443
1	146	424
2	323	407
3	831	407
4	3056	407
5	7853	407
0	8294	407

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.3%)

Memory

-7.4MiB live, 264.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
accuracy	0.03650115589029616	(exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.05859375	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.30078125	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.036050073009749536	(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	0.04296875	(+.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	0.05859375	(-.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	0.05859375	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.0546875	(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
accuracy	0.07421875	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
accuracy	0.21919195229516641	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32)))
accuracy	29.084167420413703	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 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	0.30078125	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	30.543826249310587	#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	0.0078125	(/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
accuracy	0.0313373742696424	(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	0.04296875	(+.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	0.05859375	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))

Samples

100.0ms

256×

valid

Compiler

Compiled 867 to 105 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 18.0ms (24.4% of total)

ival-div: 16.0ms (21.7% of total)

ival-log: 13.0ms (17.6% of total)

ival-exp: 10.0ms (13.6% of total)

ival-add: 7.0ms (9.5% of total)

ival-sub: 6.0ms (8.1% of total)

const: 4.0ms (5.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series161.0ms (1.6%)

Memory

0.8MiB live, 229.5MiB allocated

Counts

21 → 225

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
39.0ms	sinTheta_i	@	-inf	((- (- (* 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) (/ -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) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (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)) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))
15.0ms	v	@	inf	((- (- (* 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) (/ -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) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (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)) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))
11.0ms	cosTheta_i	@	inf	((- (- (* 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) (/ -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) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (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)) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))
10.0ms	cosTheta_i	@	0	((- (- (* 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) (/ -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) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (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)) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))
9.0ms	sinTheta_O	@	inf	((- (- (* 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) (/ -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) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (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)) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))

simplify233.0ms (2.3%)

Memory

20.7MiB live, 265.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1133	7447
1	3742	7160
0	8143	6679

Stop Event

1×	iter limit
1×	node limit

Counts

225 → 225

Calls

Call 1

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

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

rewrite173.0ms (1.7%)

Memory

10.3MiB live, 326.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	302
0	78	284
1	359	277
2	3094	277
0	8271	265

Stop Event

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

Counts

21 → 789

Calls

Call 1

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

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

eval225.0ms (2.2%)

Memory: -1.4MiB live, 389.0MiB allocated
Compiler: Compiled 54 573 to 5 366 computations (90.2% saved)

prune34.0ms (0.3%)

Memory

16.2MiB live, 92.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 490	9	1 499
Fresh	0	1	1
Picked	5	0	5
Done	0	0	0
Total	1 495	10	1 505

Accuracy

99.9%

Counts

1 505 → 10

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))))))
▶	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))))
	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
	99.9%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
▶	98.4%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
▶	99.9%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))))
	13.8%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 #s(approx (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal 6931/10000 binary32))))
▶	10.8%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
	99.5%	#s(approx (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))

Compiler

Compiled 702 to 528 computations (24.8% saved)

simplify120.0ms (1.2%)

Memory

-11.9MiB live, 112.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	478
0	80	458
1	153	452
2	295	452
3	716	417
4	2159	417
5	5763	417
0	8103	417

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (1.5%)

Memory

-40.3MiB live, 209.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03713982281327616	#s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32))
accuracy	0.0546875	(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32))
accuracy	0.07421875	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v))
accuracy	0.21919195229516641	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v)) #s(literal 6931/10000 binary32)))
accuracy	0.0078125	(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)
accuracy	0.036050073009749536	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
accuracy	0.21490721294460952	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	2.3066698871928986	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))
accuracy	0	(neg.f32 sinTheta_O)
accuracy	0.036050073009749536	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
accuracy	0.23828125	(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
accuracy	30.419627993425042	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
accuracy	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.3046875	(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
accuracy	30.543826249310587	#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	0.0078125	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
accuracy	0.0313373742696424	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
accuracy	0.03713982281327616	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
accuracy	0.04296875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))

Samples

119.0ms

256×

valid

Compiler

Compiled 846 to 108 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 30.0ms (33.4% of total)

ival-sub: 17.0ms (18.9% of total)

ival-exp: 13.0ms (14.5% of total)

ival-mult: 12.0ms (13.4% of total)

ival-add: 8.0ms (8.9% of total)

ival-log: 5.0ms (5.6% of total)

const: 4.0ms (4.5% 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)

series59.0ms (0.6%)

Memory

28.1MiB live, 104.6MiB allocated

Counts

24 → 146

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	sinTheta_i	@	inf	((* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* 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) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (* (neg sinTheta_O) (/ sinTheta_i v)) (neg sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (* cosTheta_O cosTheta_i) -1))
6.0ms	v	@	0	((* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* 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) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (* (neg sinTheta_O) (/ sinTheta_i v)) (neg sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (* cosTheta_O cosTheta_i) -1))
4.0ms	v	@	-inf	((* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* 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) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (* (neg sinTheta_O) (/ sinTheta_i v)) (neg sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (* cosTheta_O cosTheta_i) -1))
4.0ms	v	@	inf	((* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* 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) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (* (neg sinTheta_O) (/ sinTheta_i v)) (neg sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (* cosTheta_O cosTheta_i) -1))
3.0ms	sinTheta_O	@	0	((* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* 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) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (* (neg sinTheta_O) (/ sinTheta_i v)) (neg sinTheta_O) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) 6931/10000) (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (* cosTheta_O cosTheta_i) -1))

simplify165.0ms (1.6%)

Memory

2.5MiB live, 191.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	694	4314
1	2242	4141
2	7687	4067
0	8096	3808

Stop Event

1×	iter limit
1×	node limit

Counts

146 → 146

Calls

Call 1

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

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

rewrite236.0ms (2.3%)

Memory

-3.8MiB live, 234.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	426
0	80	393
1	378	366
2	3164	366
0	8360	366

Stop Event

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

Counts

24 → 531

Calls

Call 1

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

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

eval106.0ms (1%)

Memory: 5.9MiB live, 209.4MiB allocated
Compiler: Compiled 32 710 to 3 197 computations (90.2% saved)

prune42.0ms (0.4%)

Memory

-24.2MiB live, 58.9MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	693	4	697
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	696	11	707

Accuracy

99.9%

Counts

707 → 11

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))))))
✓	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))))
	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
▶	99.9%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
	98.8%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 (-.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
▶	13.8%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)))
	99.9%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
✓	10.8%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
▶	98.4%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
▶	99.5%	#s(approx (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))

Compiler

Compiled 698 to 505 computations (27.7% saved)

simplify125.0ms (1.2%)

Memory

40.8MiB live, 196.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))))))
cost-diff	0	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v)
cost-diff	0	(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
cost-diff	0	#s(approx (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
cost-diff	0	(/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)
cost-diff	0	#s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
cost-diff	0	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
cost-diff	0	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
cost-diff	0	#s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O))
cost-diff	0	(/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
cost-diff	0	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v))
cost-diff	0	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
cost-diff	3264	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	706
0	110	697
1	190	658
2	372	657
3	1081	657
4	4777	657
0	8168	657

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (1.7%)

Memory

-8.5MiB live, 315.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(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	0.3561325195368841	(/.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	0.5231437988422101	(pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
accuracy	14.51313507997262	(/.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))))
accuracy	0	#s(approx (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
accuracy	0.0313373742696424	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
accuracy	0.04296875	(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
accuracy	0.15328785680293844	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	0.036050073009749536	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
accuracy	0.21918148706002624	#s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
accuracy	0.3173753550267616	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	2.3066698871928986	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
accuracy	0.0078125	(/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)
accuracy	0.036050073009749536	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v)))
accuracy	2.3066698871928986	#s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O)) v))
accuracy	29.93294334882611	#s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O))
accuracy	0.0078125	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
accuracy	0.03650115589029616	(exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
accuracy	0.03713982281327616	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
accuracy	0.30078125	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))

Samples

112.0ms

256×

valid

Compiler

Compiled 1 313 to 137 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 25.0ms (28.5% of total)

ival-exp: 17.0ms (19.4% of total)

ival-mult: 12.0ms (13.7% of total)

ival-sub: 9.0ms (10.3% of total)

ival-log: 8.0ms (9.1% of total)

ival-add: 7.0ms (8% of total)

const: 6.0ms (6.8% of total)

ival-pow2: 5.0ms (5.7% of total)

exact: 1.0ms (1.1% of total)

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

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

series286.0ms (2.8%)

Memory

7.7MiB live, 470.9MiB allocated

Counts

28 → 374

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
55.0ms	v	@	0	((* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (exp 6931/10000) (/ 1/2 v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/ (+ (* cosTheta_i cosTheta_O) -1) v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) 1/2) (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (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)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (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))
24.0ms	v	@	-inf	((* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (exp 6931/10000) (/ 1/2 v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/ (+ (* cosTheta_i cosTheta_O) -1) v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) 1/2) (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (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)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (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))
24.0ms	v	@	inf	((* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (exp 6931/10000) (/ 1/2 v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/ (+ (* cosTheta_i cosTheta_O) -1) v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) 1/2) (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (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)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (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))
19.0ms	sinTheta_i	@	0	((* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (exp 6931/10000) (/ 1/2 v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/ (+ (* cosTheta_i cosTheta_O) -1) v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) 1/2) (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (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)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (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))
17.0ms	cosTheta_i	@	0	((* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (exp 6931/10000) (/ 1/2 v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/ (+ (* cosTheta_i cosTheta_O) -1) v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) 1/2) (/ (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (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)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (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))

simplify381.0ms (3.7%)

Memory

28.0MiB live, 337.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2824	52769
0	8501	49757

Stop Event

1×	iter limit
1×	node limit

Counts

374 → 374

Calls

Call 1

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

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

rewrite348.0ms (3.4%)

Memory

-4.7MiB live, 216.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	562
0	110	537
1	453	478
2	3636	476
0	9732	476

Stop Event

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

Counts

28 → 577

Calls

Call 1

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

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

eval280.0ms (2.7%)

Memory: -6.3MiB live, 363.8MiB allocated
Compiler: Compiled 116 418 to 7 013 computations (94% saved)

prune28.0ms (0.3%)

Memory

13.2MiB live, 96.4MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 231	5	1 236
Fresh	2	1	3
Picked	4	1	5
Done	2	1	3
Total	1 239	8	1 247

Accuracy

100.0%

Counts

1 247 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(/.f32 (pow.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (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))))))
	35.7%	(/.f32 (exp.f32 (.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (exp.f32 (/.f32 (pow.f32 (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))))))
✓	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))))
	99.8%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (pow.f32 (pow.f32 (exp.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
✓	99.9%	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
	99.9%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+.f32 (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
	98.8%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) #s(approx (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v))))
	99.9%	#s(approx (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(approx (+ ( cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))

Compiler

Compiled 1 272 to 404 computations (68.2% saved)

regimes128.0ms (1.2%)

Memory

4.8MiB live, 122.4MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

9 calls:

70.0ms	(*.f32 sinTheta_i sinTheta_O)
9.0ms	sinTheta_i
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	cosTheta_i

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)

regimes37.0ms (0.4%)

Memory

2.8MiB live, 80.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

6.0ms	v
4.0ms	(*.f32 sinTheta_i sinTheta_O)
4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
4.0ms	cosTheta_O
4.0ms	cosTheta_i

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)

regimes35.0ms (0.3%)

Memory

-10.9MiB live, 70.1MiB allocated

Accuracy

Total -30.3b remaining (-7669%)

Threshold costs -30.3b (-7669%)

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

7.0ms	sinTheta_O
5.0ms	(*.f32 sinTheta_i sinTheta_O)
4.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	sinTheta_i
3.0ms	cosTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

simplify24.0ms (0.2%)

Memory

12.2MiB live, 50.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	106
1	65	106
2	75	106
3	81	106
4	85	106
5	86	106

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness708.0ms (6.9%)

Memory

-27.5MiB live, 616.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1133	7447
1	3742	7160
0	8143	6679
0	694	4314
1	2242	4141
2	7687	4067
0	8096	3808
0	384	2276
1	1251	2186
2	4401	2015
0	8861	1898
0	2824	52769
0	8501	49757
0	21	107
0	34	91
1	147	82
2	1507	82
0	8245	82

Stop Event

1×	fuel
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

Compiler

Compiled 322 to 220 computations (31.7% saved)

preprocess27.0ms (0.3%)

Memory

24.5MiB live, 63.2MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 454 to 320 computations (29.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze464.0ms (4.5%)

sample2.9s (28.2%)

explain1.3s (12.2%)

preprocess208.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify180.0ms (1.7%)

localize61.0ms (0.6%)

series99.0ms (1%)

simplify172.0ms (1.7%)

rewrite240.0ms (2.3%)

eval113.0ms (1.1%)

prune52.0ms (0.5%)

simplify134.0ms (1.3%)

localize133.0ms (1.3%)

series161.0ms (1.6%)

simplify233.0ms (2.3%)

rewrite173.0ms (1.7%)

eval225.0ms (2.2%)

prune34.0ms (0.3%)

simplify120.0ms (1.2%)

localize159.0ms (1.5%)

series59.0ms (0.6%)

simplify165.0ms (1.6%)

rewrite236.0ms (2.3%)

eval106.0ms (1%)

prune42.0ms (0.4%)

simplify125.0ms (1.2%)

localize174.0ms (1.7%)

series286.0ms (2.8%)

simplify381.0ms (3.7%)

rewrite348.0ms (3.4%)

eval280.0ms (2.7%)

prune28.0ms (0.3%)

regimes128.0ms (1.2%)

regimes37.0ms (0.4%)

regimes35.0ms (0.3%)

simplify24.0ms (0.2%)

soundness708.0ms (6.9%)

preprocess27.0ms (0.3%)

end0.0ms (0%)

Profiling