Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze529.0ms (5.5%)

Memory

33.5MiB live, 616.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample3.0s (30.9%)

Memory

-100.2MiB live, 3 914.4MiB allocated

Samples

2.3s	8 256×	0	valid
24.0ms	114×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-mult: 442.0ms (22% of total)

const: 431.0ms (21.5% of total)

ival-<=: 335.0ms (16.7% of total)

ival-div: 261.0ms (13% of total)

ival-log: 168.0ms (8.4% of total)

ival-sub: 123.0ms (6.1% of total)

ival-add: 87.0ms (4.3% of total)

ival-exp: 83.0ms (4.1% of total)

ival-and: 56.0ms (2.8% of total)

exact: 17.0ms (0.8% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain296.0ms (3.1%)

Memory

-10.6MiB live, 362.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	2	(-4.795083170899858e-36 -0.0026833154261112213 3.306491400600303e-31 -7.257058706699763e-29 1.4143917089512285e-15)	30	(-7.36338370188605e-6 -6.594226933246593e-17 1.3065197834086252e-17 -9.649357439500863e-25 1.1394857615119666e-30)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
78	0	-	20	(1.2101596677485997e-35 -1.5087603060237598e-5 -8.270237420511962e-15 -7.700415698762655e-16 2.593788000202399e-31)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	8	(-0.9194918274879456 0.00031650648452341557 1.2160754085545464e-16 -2.3203007515348872e-7 0.002780179725959897)	1	(-0.22410228848457336 1.8118898545902345e-28 -4.447473766254906e-32 -3.0594000062605716e-38 0.018995782360434532)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	11	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	84
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	11	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	83
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	8	5

Confusion

	Predicted +	Predicted -
+	0	1
-	30	225

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	30	4	221

Precision?

0.02857142857142857

Recall?

1.0

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms

512×

valid

Compiler

Compiled 428 to 88 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 16.0ms (25.9% of total)

ival-mult: 13.0ms (21% of total)

ival-log: 12.0ms (19.4% of total)

const: 7.0ms (11.3% of total)

ival-exp: 4.0ms (6.5% of total)

ival-add: 4.0ms (6.5% of total)

ival-sub: 4.0ms (6.5% of total)

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

preprocess169.0ms (1.7%)

Memory

-1.5MiB live, 274.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(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

▶

99.8%

(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)

simplify113.0ms (1.2%)

Memory

-1.6MiB live, 123.9MiB 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)

localize53.0ms (0.5%)

Memory

-23.8MiB live, 89.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0625	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	0.0725338620835176	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
accuracy	6.625889688222995	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	7.766570036112726	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

38.0ms

256×

valid

Compiler

Compiled 268 to 44 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 7.0ms (28.7% of total)

ival-mult: 5.0ms (20.5% of total)

const: 4.0ms (16.4% of total)

ival-log: 3.0ms (12.3% of total)

ival-exp: 2.0ms (8.2% of total)

ival-add: 2.0ms (8.2% of total)

ival-sub: 2.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

8.3MiB live, 51.2MiB allocated

Counts

7 → 66

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	sinTheta_O	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
3.0ms	cosTheta_i	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	v	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	cosTheta_O	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	v	@	inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))

simplify164.0ms (1.7%)

Memory

6.0MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

Calls

Call 1

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

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

rewrite191.0ms (2%)

Memory

27.6MiB live, 251.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

7 → 617

Calls

Call 1

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

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

eval145.0ms (1.5%)

Memory: 2.9MiB live, 215.2MiB allocated
Compiler: Compiled 25 224 to 3 498 computations (86.1% saved)

prune15.0ms (0.2%)

Memory

8.3MiB live, 44.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	658	7	665
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	659	7	666

Accuracy

99.9%

Counts

666 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	86.5%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	99.7%	(/.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))
▶	99.8%	(.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)))))
▶	99.8%	(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))))
▶	13.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
▶	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 430 to 324 computations (24.7% saved)

simplify119.0ms (1.2%)

Memory

-34.5MiB live, 203.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
cost-diff	0	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
cost-diff	64	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	2944	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
cost-diff	0	(/.f32 (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))
cost-diff	64	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
cost-diff	96	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
cost-diff	160	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
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 (-.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	3264	(.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)))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	435
0	75	416
1	141	396
2	327	396
3	939	392
4	3435	392
0	8187	392

Stop Event

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

Calls

Call 1

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

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

localize180.0ms (1.9%)

Memory

-4.6MiB live, 208.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
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	0.0546875	(-.f32 (+.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	0.0725338620835176	(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	0.0078125	(/.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))
accuracy	0.021816259768442016	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
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	0.09056841516343635	(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	0.0078125	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	0.09056841516343635	(exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy	1.17169145589697	(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
accuracy	31.30452604847076	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
accuracy	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.35546875	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	30.52795665423161	#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	0.01171875	(.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)))))
accuracy	0.021816259768442016	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.05078125	(-.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)))
accuracy	0.07419021474955706	(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))))

Samples

97.0ms

256×

valid

Compiler

Compiled 855 to 103 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 16.0ms (21.4% of total)

const: 16.0ms (21.4% of total)

ival-div: 15.0ms (20.1% of total)

ival-exp: 11.0ms (14.7% of total)

ival-sub: 6.0ms (8% of total)

ival-add: 5.0ms (6.7% of total)

ival-log: 5.0ms (6.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series154.0ms (1.6%)

Memory

12.9MiB live, 124.0MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
46.0ms	v	@	-inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp 6931/10000) (* (* (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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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 (- (+ 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))) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)))
19.0ms	cosTheta_O	@	0	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp 6931/10000) (* (* (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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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 (- (+ 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))) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)))
13.0ms	sinTheta_i	@	-inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp 6931/10000) (* (* (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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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 (- (+ 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))) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)))
11.0ms	cosTheta_i	@	0	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp 6931/10000) (* (* (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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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 (- (+ 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))) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)))
10.0ms	v	@	inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (exp 6931/10000) (* (* (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) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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 (- (+ 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))) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)))

simplify247.0ms (2.6%)

Memory

-6.2MiB live, 197.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1247	9030
1	4106	8802
0	8292	8258

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite255.0ms (2.6%)

Memory

26.2MiB live, 183.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	279
0	75	256
1	340	246
2	2980	246
0	8568	246

Stop Event

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

Counts

20 → 665

Calls

Call 1

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

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

eval257.0ms (2.7%)

Memory: -43.3MiB live, 169.3MiB allocated
Compiler: Compiled 44 113 to 4 281 computations (90.3% saved)

prune274.0ms (2.8%)

Memory

38.1MiB live, 76.1MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1 075	11	1 086
Fresh	1	1	2
Picked	5	0	5
Done	0	0	0
Total	1 081	12	1 093

Accuracy

99.9%

Counts

1 093 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 #s(literal 2 binary32) v))
	99.7%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
▶	97.4%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
	99.7%	(/.f32 (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 2 binary32) v))
	4.6%	(/.f32 #s(approx (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
	87.3%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (.f32 #s(literal 2 binary32) v))))))
▶	99.8%	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 (.f32 #s(literal 2 binary32) v)))))
▶	98.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
	99.8%	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
	99.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))

Compiler

Compiled 750 to 588 computations (21.6% saved)

simplify407.0ms (4.2%)

Memory

-13.5MiB live, 183.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))
cost-diff	0	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
cost-diff	3136	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
cost-diff	0	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
cost-diff	0	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
cost-diff	0	(/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))))
cost-diff	0	(exp.f32 #s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32))))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))
cost-diff	0	(/.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 #s(literal 6931/10000 binary32))
cost-diff	3136	(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) (log.f32 (.f32 #s(literal 2 binary32) v))))
cost-diff	3264	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 (.f32 #s(literal 2 binary32) v)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	494
0	80	488
1	154	485
2	326	453
3	825	453
4	2530	453
5	6472	453
0	8046	445

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.5%)

Memory

-18.5MiB live, 224.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
accuracy	0.0725338620835176	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.26866546604789915	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))
accuracy	0.45162597493059975	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	0.04296875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
accuracy	0.09056841516343635	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
accuracy	0.26866546604789915	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))
accuracy	0.428815092366513	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.28125	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))))
accuracy	0.3671875	(/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))
accuracy	30.52795665423161	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
accuracy	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))
accuracy	0.0078125	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32))))
accuracy	0.09056841516343635	(exp.f32 #s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32)))
accuracy	31.31332206690549	#s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32))
accuracy	0.01171875	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 (.f32 #s(literal 2 binary32) v)))))
accuracy	0.05078125	(-.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) (log.f32 (.f32 #s(literal 2 binary32) v)))
accuracy	0.0720840618352491	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
accuracy	0.07419021474955706	(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) (log.f32 (.f32 #s(literal 2 binary32) v))))

Samples

99.0ms

256×

valid

Compiler

Compiled 878 to 114 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-div: 29.0ms (37.3% of total)

ival-exp: 12.0ms (15.4% of total)

ival-mult: 12.0ms (15.4% of total)

ival-sub: 8.0ms (10.3% of total)

ival-add: 6.0ms (7.7% of total)

ival-log: 5.0ms (6.4% of total)

const: 4.0ms (5.1% of total)

exact: 1.0ms (1.3% of total)

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

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

series68.0ms (0.7%)

Memory

-9.0MiB live, 119.7MiB allocated

Counts

23 → 240

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	v	@	-inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (exp 6931/10000) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ 1 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ v (* (exp 6931/10000) 1/2)) (* (exp 6931/10000) 1/2) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (+ (* cosTheta_i cosTheta_O) -1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))))
7.0ms	cosTheta_O	@	-inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (exp 6931/10000) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ 1 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ v (* (exp 6931/10000) 1/2)) (* (exp 6931/10000) 1/2) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (+ (* cosTheta_i cosTheta_O) -1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))))
4.0ms	v	@	0	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (exp 6931/10000) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ 1 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ v (* (exp 6931/10000) 1/2)) (* (exp 6931/10000) 1/2) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (+ (* cosTheta_i cosTheta_O) -1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))))
4.0ms	v	@	inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (exp 6931/10000) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ 1 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ v (* (exp 6931/10000) 1/2)) (* (exp 6931/10000) 1/2) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (+ (* cosTheta_i cosTheta_O) -1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))))
3.0ms	sinTheta_i	@	-inf	((* (exp 6931/10000) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))))) (exp (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v)))) (exp 6931/10000) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ 1 (/ v (* (exp 6931/10000) 1/2))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ v (* (exp 6931/10000) 1/2)) (* (exp 6931/10000) 1/2) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (log (* 2 v))) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (+ (* cosTheta_i cosTheta_O) -1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))))

simplify194.0ms (2%)

Memory

13.1MiB live, 276.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1260	9037
1	4134	8760
0	8417	8215

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

rewrite166.0ms (1.7%)

Memory

33.5MiB live, 277.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	390
0	80	380
1	383	365
2	3269	364
0	8572	346

Stop Event

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

Counts

23 → 454

Calls

Call 1

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

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

eval103.0ms (1.1%)

Memory: -20.3MiB live, 218.8MiB allocated
Compiler: Compiled 33 570 to 3 006 computations (91% saved)

prune37.0ms (0.4%)

Memory

9.8MiB live, 93.4MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	737	7	744
Fresh	4	3	7
Picked	1	4	5
Done	0	0	0
Total	742	14	756

Accuracy

99.9%

Counts

756 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(/.f32 (.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 #s(literal 2 binary32) v))
	99.7%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
	99.7%	(/.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))
✓	98.1%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
▶	99.6%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
▶	4.6%	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
	99.7%	(.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)))
	99.7%	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 #s(literal 2 binary32)))) v))
✓	99.8%	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 (.f32 #s(literal 2 binary32) v)))))
▶	99.8%	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))
▶	99.6%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (exp.f32 #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 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))

Compiler

Compiled 707 to 564 computations (20.2% saved)

simplify118.0ms (1.2%)

Memory

-20.8MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
cost-diff	0	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
cost-diff	0	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
cost-diff	3680	(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v))
cost-diff	0	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
cost-diff	2944	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
cost-diff	0	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v))
cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)))
cost-diff	0	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(*.f32 #s(literal 2 binary32) v)
cost-diff	0	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
cost-diff	0	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(/.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 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 (+.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)) (log.f32 (.f32 #s(literal 2 binary32) v)))
cost-diff	2944	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	520
0	71	517
1	137	516
2	258	512
3	545	512
4	1207	512
5	2963	512
6	5851	512
0	8044	480

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (1%)

Memory

6.9MiB live, 207.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05410839469303148	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
accuracy	0.07731717523070682	(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy	1.9373237176006706	(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	3.1093160913762237	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
accuracy	0.043960341738232045	#s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))
accuracy	0.0546875	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
accuracy	0.0725338620835176	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.26085296604789915	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)))
accuracy	0.04296875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v))
accuracy	0.043960341738232045	#s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))
accuracy	0.09056841516343635	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)))
accuracy	0.26085296604789915	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)))
accuracy	0	(*.f32 #s(literal 2 binary32) v)
accuracy	0.0078125	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
accuracy	0.09056841516343635	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32)))
accuracy	29.346063541507018	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
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))
accuracy	0.043960341738232045	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
accuracy	0.0546875	(-.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)) (log.f32 (.f32 #s(literal 2 binary32) v)))
accuracy	0.0725338620835176	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))

Samples

61.0ms	240×	0	valid
4.0ms	16×	0	exit

Compiler

Compiled 922 to 83 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 9.0ms (21.9% of total)

ival-mult: 9.0ms (21.9% of total)

ival-exp: 7.0ms (17% of total)

ival-sub: 6.0ms (14.6% of total)

const: 4.0ms (9.7% of total)

ival-add: 3.0ms (7.3% of total)

ival-log: 3.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series76.0ms (0.8%)

Memory

0.8MiB live, 168.8MiB allocated

Counts

22 → 190

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
16.0ms	sinTheta_i	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (* 2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (+ (/ -1 v) 6931/10000))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (exp (+ (/ -1 v) 6931/10000)))
5.0ms	v	@	inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (* 2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (+ (/ -1 v) 6931/10000))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (exp (+ (/ -1 v) 6931/10000)))
5.0ms	sinTheta_O	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (* 2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (+ (/ -1 v) 6931/10000))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (exp (+ (/ -1 v) 6931/10000)))
5.0ms	cosTheta_i	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (* 2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (+ (/ -1 v) 6931/10000))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (exp (+ (/ -1 v) 6931/10000)))
4.0ms	v	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (* 2 v) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 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)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (exp (+ (/ -1 v) 6931/10000))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (exp (+ (/ -1 v) 6931/10000)))

simplify171.0ms (1.8%)

Memory

17.3MiB live, 208.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	987	6021
1	3218	5787
0	8756	5419

Stop Event

1×	iter limit
1×	node limit

Counts

190 → 190

Calls

Call 1

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

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

rewrite261.0ms (2.7%)

Memory

-3.5MiB live, 237.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	368
0	69	366
1	299	363
2	2191	363
0	9331	339

Stop Event

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

Counts

22 → 421

Calls

Call 1

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

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

eval158.0ms (1.6%)

Memory: 7.7MiB live, 164.2MiB allocated
Compiler: Compiled 28 642 to 2 726 computations (90.5% saved)

prune48.0ms (0.5%)

Memory

-20.1MiB live, 56.5MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	612	5	617
Fresh	2	3	5
Picked	1	4	5
Done	2	2	4
Total	617	14	631

Accuracy

99.9%

Counts

631 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(/.f32 (.f32 (exp.f32 (/.f32 #s(approx (- ( cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) (.f32 (neg.f32 sinTheta_i) sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (.f32 #s(literal 2 binary32) v))
	99.6%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 #s(approx (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
	99.7%	(/.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))
✓	97.4%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
✓	99.6%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v))) (*.f32 #s(literal 2 binary32) v))
✓	4.6%	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
	99.6%	(.f32 (.f32 (exp.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
	99.7%	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 #s(literal 2 binary32)))) v))
✓	99.8%	(.f32 (exp.f32 #s(literal 6931/10000 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) (log.f32 (.f32 #s(literal 2 binary32) v)))))
✓	99.8%	(exp.f32 (-.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)) (log.f32 (.f32 #s(literal 2 binary32) v))))
✓	99.6%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
	96.1%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
	13.9%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) v) (exp.f32 #s(literal -6931/10000 binary32)))))

Compiler

Compiled 1 354 to 521 computations (61.5% saved)

regimes113.0ms (1.2%)

Memory

23.8MiB live, 148.5MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

32.0ms	v
21.0ms	(*.f32 cosTheta_i cosTheta_O)
11.0ms	sinTheta_i
9.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
8.0ms	cosTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes319.0ms (3.3%)

Memory

1.0MiB live, 120.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs

(exp.f32 (-.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)) (log.f32 (*.f32 #s(literal 2 binary32) v))))

Calls

9 calls:

121.0ms	(+.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))))
83.0ms	sinTheta_O
76.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	cosTheta_i
7.0ms	sinTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes71.0ms (0.7%)

Memory

4.3MiB live, 82.2MiB allocated

Counts

17 → 1

Calls

Call 1

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

Outputs

(/.f32 (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 2 binary32) v))

Calls

9 calls:

22.0ms	sinTheta_O
14.0ms	(*.f32 sinTheta_i sinTheta_O)
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	cosTheta_O
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.7%	1	`cosTheta_i`
99.7%	1	`cosTheta_O`
99.7%	1	`sinTheta_i`
99.7%	1	`sinTheta_O`
99.7%	1	`v`
99.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes59.0ms (0.6%)

Memory

-24.2MiB live, 56.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

17.0ms	(*.f32 sinTheta_i sinTheta_O)
16.0ms	sinTheta_i
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	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.6%	1	`cosTheta_i`
99.6%	1	`cosTheta_O`
99.6%	1	`sinTheta_i`
99.6%	1	`sinTheta_O`
99.6%	1	`v`
99.6%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.6%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes38.0ms (0.4%)

Memory

18.4MiB live, 58.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

14.0ms	sinTheta_O
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	cosTheta_i
3.0ms	sinTheta_i
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
42.3%	1	`cosTheta_i`
42.3%	1	`cosTheta_O`
42.3%	1	`sinTheta_i`
42.3%	1	`sinTheta_O`
42.3%	1	`v`
42.3%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
42.3%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
42.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
42.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes32.0ms (0.3%)

Memory

-3.8MiB live, 34.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

9 calls:

12.0ms	v
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	sinTheta_O
2.0ms	cosTheta_O
2.0ms	sinTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes54.0ms (0.6%)

Memory

-18.4MiB live, 28.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

9 calls:

43.0ms	(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)))))
2.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	v
1.0ms	sinTheta_i
1.0ms	sinTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

simplify41.0ms (0.4%)

Memory

3.2MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	222
1	92	222
2	115	222
3	129	222
4	141	222
5	143	222

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness650.0ms (6.7%)

Memory

1.5MiB live, 473.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	326	1885
1	1054	1815
2	3693	1627
0	8207	1506
0	21	83
0	34	71
1	147	64
2	1507	64
0	8245	64
0	987	6021
1	3218	5787
0	8756	5419
0	1247	9030
1	4106	8802
0	8292	8258

Stop Event

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

Compiler

Compiled 471 to 320 computations (32.1% saved)

preprocess53.0ms (0.5%)

Memory

26.9MiB live, 102.6MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1 118 to 742 computations (33.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze529.0ms (5.5%)

sample3.0s (30.9%)

explain296.0ms (3.1%)

preprocess169.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify113.0ms (1.2%)

localize53.0ms (0.5%)

series29.0ms (0.3%)

simplify164.0ms (1.7%)

rewrite191.0ms (2%)

eval145.0ms (1.5%)

prune15.0ms (0.2%)

simplify119.0ms (1.2%)

localize180.0ms (1.9%)

series154.0ms (1.6%)

simplify247.0ms (2.6%)

rewrite255.0ms (2.6%)

eval257.0ms (2.7%)

prune274.0ms (2.8%)

simplify407.0ms (4.2%)

localize144.0ms (1.5%)

series68.0ms (0.7%)

simplify194.0ms (2%)

rewrite166.0ms (1.7%)

eval103.0ms (1.1%)

prune37.0ms (0.4%)

simplify118.0ms (1.2%)

localize95.0ms (1%)

series76.0ms (0.8%)

simplify171.0ms (1.8%)

rewrite261.0ms (2.7%)

eval158.0ms (1.6%)

prune48.0ms (0.5%)

regimes113.0ms (1.2%)

regimes319.0ms (3.3%)

regimes71.0ms (0.7%)

regimes59.0ms (0.6%)

regimes38.0ms (0.4%)

regimes32.0ms (0.3%)

regimes54.0ms (0.6%)

simplify41.0ms (0.4%)

soundness650.0ms (6.7%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling