Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze467.0ms (4%)

Memory

45.6MiB live, 717.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.7s (23.2%)

Memory

20.0MiB live, 3 494.3MiB allocated

Samples

2.1s	8 256×	0	valid
56.0ms	156×	0	invalid

Precisions

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

const: 489.0ms (27.7% of total)

ival-<=: 343.0ms (19.5% of total)

ival-div: 307.0ms (17.4% of total)

ival-mult: 196.0ms (11.1% of total)

ival-log: 115.0ms (6.5% of total)

ival-add: 84.0ms (4.8% of total)

ival-exp: 83.0ms (4.7% of total)

ival-sub: 75.0ms (4.3% of total)

ival-and: 52.0ms (2.9% of total)

exact: 16.0ms (0.9% of total)

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

Bogosity

explain244.0ms (2.1%)

Memory

20.1MiB live, 494.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	3	(-1.435019170440483e-38 2.5107015708017312e-36 -2.402665398357119e-27 -5.4684449317122085e-24 1.670215851845569e-6)	31	(3.5636952546875614e-34 -4.028692379698384e-10 1.0905431986013821e-36 2.1635142388731765e-7 2.8521275889026997e-24)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
88	4	(1.9952367307109927e-17 1.7924597928966875e-34 0.0012901707086712122 4.967863467320853e-29 2.897631929954514e-7)	20	(3.5636952546875614e-34 -4.028692379698384e-10 1.0905431986013821e-36 2.1635142388731765e-7 2.8521275889026997e-24)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
2	5	(6.618935058674184e-24 -5.290336576186409e-36 -1.114763083999312e-18 4.817448592617332e-22 0.0035247853957116604)	2	(-0.0015154422726482153 -6.383268753251323e-38 1.288516697384652e-26 -3.569811200983786e-38 0.012918341904878616)	`(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	87
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	10	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	95
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	5	3

Confusion

	Predicted +	Predicted -
+	1	1
-	25	229

Precision

0.038461538461538464

Recall

0.5

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	1	0
-	25	1	228

Precision?

0.07142857142857142

Recall?

1.0

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

83.0ms

512×

valid

Compiler

Compiled 295 to 67 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 16.0ms (29.3% of total)

ival-mult: 9.0ms (16.5% of total)

const: 7.0ms (12.8% of total)

ival-sub: 6.0ms (11% of total)

ival-log: 6.0ms (11% of total)

ival-add: 5.0ms (9.2% of total)

ival-exp: 4.0ms (7.3% of total)

exact: 1.0ms (1.8% of total)

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

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

preprocess168.0ms (1.4%)

Memory

8.6MiB live, 163.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	481
1	462	447
2	1368	440
3	4991	440
0	21	25
0	34	23
1	63	22
2	151	22
3	471	22
4	1717	22
5	5048	22
0	8160	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
▶	99.7%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Status

Accuracy

Program

▶

99.7%

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

Compiler

Compiled 25 to 21 computations (16% saved)

simplify118.0ms (1%)

Memory

5.5MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	1	(+.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	1	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	2	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 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	5048	124
0	8160	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)

localize49.0ms (0.4%)

Memory

-3.3MiB live, 70.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.04753876953688403	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	0.08002240229362001	(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	7.3296646609301	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy	7.547976092253238	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

38.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 7.0ms (26% of total)

ival-mult: 5.0ms (18.6% of total)

ival-add: 4.0ms (14.8% of total)

ival-log: 4.0ms (14.8% of total)

const: 3.0ms (11.1% of total)

ival-exp: 2.0ms (7.4% of total)

ival-sub: 2.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-24.6MiB live, 56.5MiB allocated

Counts

7 → 66

Calls

Call 1

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

Outputs
(* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(- 6931/10000 (+ (/ 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))
(* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- (+ (* 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)))))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 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))))))))
(- (+ 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
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ 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
3.0ms	cosTheta_O	@	-inf	((- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
3.0ms	sinTheta_O	@	0	((- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
3.0ms	cosTheta_i	@	0	((- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	v	@	-inf	((- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
2.0ms	cosTheta_O	@	0	((- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))

simplify179.0ms (1.5%)

Memory

47.2MiB live, 273.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	326	1885
1	1054	1815
2	3707	1627
0	8201	1506

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 66

Calls

Call 1

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

rewrite245.0ms (2.1%)

Memory

-8.9MiB live, 276.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	34	71
1	147	64
2	1507	64
0	8186	64

Stop Event

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

Counts

7 → 613

Calls

Call 1

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

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

eval113.0ms (1%)

Memory: -8.5MiB live, 182.8MiB allocated
Compiler: Compiled 25 113 to 3 476 computations (86.2% saved)

prune16.0ms (0.1%)

Memory

13.7MiB live, 52.6MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	652	9	661
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	653	9	662

Accuracy

99.8%

Counts

662 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
▶	99.3%	(.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)))
	87.6%	(.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))))))
	99.7%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
▶	99.7%	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
	63.0%	(exp.f32 (+.f32 (+.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) v)) v) (.f32 v v)) (pow.f32 v #s(literal -3 binary32))) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
▶	40.5%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
▶	4.7%	#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 460 to 400 computations (13% saved)

simplify186.0ms (1.6%)

Memory

-72.3MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
cost-diff	0	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
cost-diff	1	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
cost-diff	4	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
cost-diff	1	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	1	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
cost-diff	1	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
cost-diff	2	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
cost-diff	1	(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
cost-diff	1	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	4	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	477
0	94	446
1	178	430
2	384	416
3	1153	416
4	4510	416
0	8283	416

Stop Event

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

Calls

Call 1

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

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

localize198.0ms (1.7%)

Memory

36.3MiB live, 315.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
accuracy	1.7144158537768894	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	2.1019138857643167	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
accuracy	4.1496861789880874	(/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)
accuracy	0.05078125	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.06883256294247907	(exp.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.1398614625143295	(.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)))
accuracy	0.3046875	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.06883256294247907	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
accuracy	0.1398614625143295	(.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)))
accuracy	0.3046875	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.5423565436015676	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
accuracy	0.0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.3046875	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	28.327001131127023	#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	0.05078125	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.06640625	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
accuracy	0.08002240229362001	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
accuracy	0.24181948444470008	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))

Samples

105.0ms	238×	0	valid
57.0ms	18×	0	exit

Compiler

Compiled 459 to 56 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-div: 59.0ms (44.1% of total)

ival-mult: 28.0ms (20.9% of total)

ival-exp: 24.0ms (17.9% of total)

ival-add: 6.0ms (4.5% of total)

ival-log: 6.0ms (4.5% of total)

ival-sub: 5.0ms (3.7% of total)

const: 4.0ms (3% of total)

exact: 1.0ms (0.7% of total)

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

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

series328.0ms (2.8%)

Memory

-1.5MiB live, 239.6MiB allocated

Counts

24 → 251

Calls

Call 1

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

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(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 (* sinTheta_O sinTheta_i)))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) cosTheta_i) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) cosTheta_i) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
-1
(- (* cosTheta_O cosTheta_i) 1)
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(/ v (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ v cosTheta_O)) cosTheta_i)
(/ (- (+ (/ v cosTheta_O) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ v cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (pow cosTheta_i 2)) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (pow cosTheta_i 3)) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(* cosTheta_O (- (+ (* 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 (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ v cosTheta_i)) cosTheta_O)
(/ (- (+ (/ v cosTheta_i) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ v cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))
(/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ (* sinTheta_O sinTheta_i) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(* -1 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (/ (+ (/ v sinTheta_O) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(+ (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) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(* sinTheta_O (- (+ (* 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 (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(/ (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (- (* -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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (/ (+ (/ v sinTheta_i) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ 1/2 v)
(* 1/2 (/ (exp 6931/10000) v))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(+ (log 1/2) (* -1 (log v)))
(/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* v (+ (* -6931/10000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* 48038761/100000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (* 48038761/100000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
6931/10000
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(/ (+ (* 1/2 (exp 6931/10000)) (* 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 (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))
(- (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))))
(- (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000)))))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000))))))
(- (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 2) (exp -6931/10000)))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000)) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000))) (+ (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 3) (exp -6931/10000))))))))) (+ (* 1/6 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 2) (exp -6931/10000)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (exp -6931/10000)))) (+ (* 1/2 (/ (- (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000)) (/ (exp (+ (log 1/2) (log (/ 1 v)))) (exp -6931/10000))) (pow v 3))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* v (exp -6931/10000))) (+ (/ (exp (+ (log 1/2) (log (/ 1 v)))) (* (pow v 3) (exp -6931/10000))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* (pow v 2) (exp -6931/10000))))))))))
(exp (+ (log 1/2) (log (/ 1 v))))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v)))
(+ (exp (+ (log 1/2) (log (/ 1 v)))) (+ (* 1/6 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (+ (log 1/2) (log (/ 1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))))
(+ (log 1/2) (log (/ 1 v)))
(- (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
10000/6931
(+ 10000/6931 (* -100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 10000/6931 (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))) (* 100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 10000/6931 (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3)))) (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* 100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(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 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (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))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (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))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* 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 (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))
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(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
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(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
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(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))

Calls

15 calls:

Time	Variable		Point	Expression
83.0ms	v	@	-inf	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
83.0ms	cosTheta_O	@	-inf	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
48.0ms	v	@	0	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
21.0ms	sinTheta_O	@	0	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
17.0ms	cosTheta_i	@	0	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (* (* (exp 6931/10000) (/ 1/2 v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* (exp 6931/10000) (/ 1/2 v)) (/ (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (exp (- (/ 1 v) 6931/10000))) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (log (/ 1/2 v)) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (exp (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))

simplify563.0ms (4.8%)

Memory

-17.1MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1489	9710
1	4908	9253
0	8141	8744

Stop Event

1×	iter limit
1×	node limit

Counts

251 → 251

Calls

Call 1

Inputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(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 (* sinTheta_O sinTheta_i)))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) cosTheta_i) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) cosTheta_i) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
-1
(- (* cosTheta_O cosTheta_i) 1)
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(/ v (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ v cosTheta_O)) cosTheta_i)
(/ (- (+ (/ v cosTheta_O) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ v cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (pow cosTheta_i 2)) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (pow cosTheta_i 3)) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(* cosTheta_O (- (+ (* 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 (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ v cosTheta_i)) cosTheta_O)
(/ (- (+ (/ v cosTheta_i) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ v cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))
(/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ (* sinTheta_O sinTheta_i) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v)))
(* -1 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (/ (+ (/ v sinTheta_O) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(+ (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) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 3))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))))))))
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(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(/ (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (* sinTheta_O (- (* -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 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (/ (+ (/ v sinTheta_i) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
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(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
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(/ 1/2 v)
(* 1/2 (/ (exp 6931/10000) v))
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6931/10000
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10000/6931
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1
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(+ (* -1 (/ (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(exp (+ (log -1/2) (log (/ -1 v))))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(+ (log -1/2) (log (/ -1 v)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(+ 10000/6931 (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ 10000/6931 (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v)) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) cosTheta_i (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (.f32 cosTheta_O (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) v))) cosTheta_i (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.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 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (*.f32 v v))) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #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) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(+ (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* v (exp (- (/ 1 v) 6931/10000)))))
(fma.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/6 binary32) (.f32 (.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) cosTheta_i) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 v v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_i (/.f32 #s(literal 1 binary32) (-.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 (/ (* (pow cosTheta_O 3) cosTheta_i) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32)))) (/.f32 cosTheta_i (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_i (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (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))
-1
#s(literal -1 binary32)
(- (* cosTheta_O cosTheta_i) 1)
(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) cosTheta_i (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) v)) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(fma.f32 (fma.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) v))) cosTheta_i (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(* -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)
(/ (* 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_O cosTheta_i) (/.f32 sinTheta_i v) (/.f32 (/.f32 #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 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(*.f32 (-.f32 cosTheta_O (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_i)) cosTheta_i)
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(/ (exp (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (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 (- (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) (/ (* sinTheta_O sinTheta_i) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(* cosTheta_i (- (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(.f32 (+.f32 (/.f32 cosTheta_O v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)))) cosTheta_i)
(/ v (* cosTheta_O cosTheta_i))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ v cosTheta_O)) cosTheta_i)
(/.f32 (-.f32 (/.f32 v cosTheta_O) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i))) cosTheta_i)
(/ (- (+ (/ v cosTheta_O) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/.f32 (-.f32 (fma.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 (.f32 cosTheta_i cosTheta_i) (pow.f32 cosTheta_O #s(literal 3 binary32)))) (/.f32 v cosTheta_O)) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ v cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 v #s(literal 4 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 4 binary32)))) (/.f32 v cosTheta_O)) (-.f32 (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i)) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 (.f32 cosTheta_i cosTheta_i) (pow.f32 cosTheta_O #s(literal 3 binary32))))))) 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)
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(*.f32 (-.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) cosTheta_i)
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(.f32 (-.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v))) cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 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 (/ (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(/.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 v cosTheta_O))) cosTheta_i)
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(/.f32 (neg.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) cosTheta_i) (neg.f32 (/.f32 (.f32 (.f32 v v) (-.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))))) cosTheta_i) (/.f32 v cosTheta_O))) cosTheta_i)
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(/.f32 (neg.f32 (-.f32 (/.f32 (neg.f32 v) cosTheta_O) (/.f32 (-.f32 (/.f32 (neg.f32 (-.f32 (.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 cosTheta_O #s(literal 4 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) cosTheta_i)) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32)))))) cosTheta_i) (/.f32 (.f32 (.f32 v v) (-.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))) cosTheta_i))) cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(* -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)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 sinTheta_i v)) (/.f32 cosTheta_O v)))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O (.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_O (.f32 (.f32 cosTheta_i (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_O (*.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) v) #s(literal 1/2 binary32)))
(+ (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000)))))) (/ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/6 binary32) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/2 binary32))) cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 v v)) #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (log (/ 1/2 v)) (/ (* sinTheta_O sinTheta_i) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))) cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (pow cosTheta_i 2)) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (*.f32 v v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_O (/.f32 #s(literal 1 binary32) (-.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 (/ (* cosTheta_O (pow cosTheta_i 3)) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_O (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)) #s(literal 1/2 binary32))) cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) cosTheta_O (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(fma.f32 (fma.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) #s(literal 1/2 binary32))) cosTheta_O (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O)) v)) v))) cosTheta_O (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))) cosTheta_O)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(*.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O)) cosTheta_O)
(* cosTheta_O (- (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))
(.f32 (+.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v)))) cosTheta_O)
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ v cosTheta_i)) cosTheta_O)
(/.f32 (-.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O))) cosTheta_O)
(/ (- (+ (/ v cosTheta_i) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/.f32 (-.f32 (fma.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_O cosTheta_O))) (/.f32 v cosTheta_i)) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ v cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
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(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(.f32 (-.f32 cosTheta_i (/.f32 (.f32 sinTheta_i sinTheta_O) cosTheta_O)) cosTheta_O)
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(*.f32 (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
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(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
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(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
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(/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000)))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))) (/ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (exp (- (/ 1 v) 6931/10000))))
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(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v)) #s(literal 1/2 binary32)) (.f32 sinTheta_i (/.f32 (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)))
(+ (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O (.f32 (neg.f32 sinTheta_i) (/.f32 (.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)) v))) sinTheta_O (*.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(fma.f32 (fma.f32 (/.f32 sinTheta_O (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32))) (/.f32 sinTheta_i (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))) sinTheta_O (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 4 binary32))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (.f32 v v)))) sinTheta_O (/.f32 sinTheta_i (.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v))) sinTheta_O (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (.f32 v v)) #s(literal 1/2 binary32)) (.f32 sinTheta_i (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) v))) sinTheta_O (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(fma.f32 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) v) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
(* 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_O sinTheta_O) (/.f32 cosTheta_i 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 (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
(* sinTheta_O (- (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v)))
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v)) sinTheta_O)
(/ (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 sinTheta_i sinTheta_i)) (/.f32 v sinTheta_i)) sinTheta_O))
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) (/.f32 v sinTheta_i))) (/.f32 (.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_i sinTheta_i) sinTheta_O))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (/.f32 v sinTheta_i))) (fma.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_O)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) (/.f32 (.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_i sinTheta_i) sinTheta_O)))) 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 (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (-.f32 (.f32 (/.f32 cosTheta_O sinTheta_O) (/.f32 cosTheta_i v)) (/.f32 sinTheta_i v)) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) sinTheta_O) #s(literal -1 binary32) sinTheta_i) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O))
(* -1 (/ (+ (/ v sinTheta_i) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 sinTheta_i sinTheta_i)) (/.f32 v sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 v sinTheta_i) (/.f32 (-.f32 (.f32 (neg.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) sinTheta_O)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32)))) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 v v)) (.f32 sinTheta_i sinTheta_i))) sinTheta_O))) sinTheta_O)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 v sinTheta_i) (/.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) sinTheta_O) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 v #s(literal 3 binary32))) (pow.f32 sinTheta_i #s(literal 3 binary32))))) sinTheta_O) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 v v)) (.f32 sinTheta_i sinTheta_i))) sinTheta_O))) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) sinTheta_i) (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_O sinTheta_O) (/.f32 cosTheta_i v))) (neg.f32 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)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_i cosTheta_O)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* 1/2 (/ (exp 6931/10000) v))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (fma.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)) v (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_i sinTheta_O)) v)
(+ (log 1/2) (* -1 (log v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
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(+ (* -1 (/ (- (+ (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) (exp -6931/10000))) (+ (* -1 (- (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))) (+ (* -1/6 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))) (* 1/2 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))))))) v)) (* 1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) (exp -6931/10000)))) (+ (* -1 (- (* -1 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (exp -6931/10000))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) (* 1/2 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000))))) v))) (* -1 (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))) v)) (/ (exp (+ (log -1/2) (log (/ -1 v)))) (exp -6931/10000)))
(-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (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 (-.f32 (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32)) (-.f32 (fma.f32 (fma.f32 (neg.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))) (-.f32 (.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (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 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32))) (fma.f32 (neg.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))))))) v)) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32))) (fma.f32 (neg.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))))) v)) (.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(exp (+ (log -1/2) (log (/ -1 v))))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) v))
(fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.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 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)))) v))
(+ (exp (+ (log -1/2) (log (/ -1 v)))) (* -1 (/ (+ (* -1 (* (exp (+ (log -1/2) (log (/ -1 v)))) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (+ (log -1/2) (log (/ -1 v)))) (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (neg.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) v)) #s(literal 1/6 binary32))) v))) v))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))
(- (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ (* sinTheta_O sinTheta_i) v))
(-.f32 (+.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal -1 binary32) v))) (log.f32 #s(literal -1/2 binary32))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+ 10000/6931 (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 #s(literal 10000/6931 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) v) #s(literal -1000000000000/332956652491 binary32) (.f32 #s(literal 100000000/48038761 binary32) (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v))
(+ 10000/6931 (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 #s(literal 10000/6931 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) v) #s(literal -10000000000000000/2307722558415121 binary32) (.f32 #s(literal 1000000000000/332956652491 binary32) (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 binary32) (.f32 #s(literal 100000000/48038761 binary32) (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) v) #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (*.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v)) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) v) #s(literal -1/2 binary32) (neg.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O))) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v)) v))

rewrite277.0ms (2.4%)

Memory

2.9MiB live, 285.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	301
0	94	278
1	410	262
2	3400	262
0	9238	253

Stop Event

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

Counts

24 → 903

Calls

Call 1

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

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

eval559.0ms (4.8%)

Memory: 27.5MiB live, 227.8MiB allocated
Compiler: Compiled 43 952 to 5 499 computations (87.5% saved)

prune67.0ms (0.6%)

Memory

-8.4MiB live, 76.5MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1 065	18	1 083
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	1 074	18	1 092

Accuracy

99.9%

Counts

1 092 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
	87.3%	(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	61.3%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	87.3%	(/.f32 (exp.f32 (.f32 (-.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.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))))
	99.0%	(/.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.7%	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
▶	99.7%	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
	37.5%	#s(approx (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
	4.7%	#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))
	4.7%	#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 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))))
▶	98.2%	#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 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
▶	4.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
	32.2%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))))
	40.5%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
	99.3%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(approx (+ (* cosTheta_O cosTheta_i) -1) #s(literal -1 binary32)) v))))
▶	43.5%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
	99.2%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) #s(approx (* (* (/ 1/2 v) (exp 6931/10000)) (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))) (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))))

Compiler

Compiled 1 306 to 1 052 computations (19.4% saved)

simplify426.0ms (3.6%)

Memory

-11.1MiB live, 102.1MiB 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	3	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
cost-diff	0	(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
cost-diff	0	(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff	1	(.f32 (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff	0	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #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 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
cost-diff	1	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
cost-diff	2	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	2	(.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
cost-diff	4	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	591
0	101	557
1	188	552
2	392	545
3	1014	529
4	3166	525
5	7322	525
0	8079	512

Stop Event

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

Calls

Call 1

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

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

localize663.0ms (5.6%)

Memory

23.8MiB live, 181.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.060856702881171926	(exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))
accuracy	0.10243766442805155	(/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
accuracy	1.6118168412449672	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
accuracy	4.1496861789880874	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
accuracy	0.01171875	(.f32 (.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.0234375	(*.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.06883256294247907	(exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
accuracy	0.5748287424055216	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	0.03353500976844202	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
accuracy	0.046875	(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
accuracy	0.059010011486112825	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
accuracy	0.5730783779244437	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.3046875	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	28.327001131127023	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
accuracy	0.08002240229362001	(exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
accuracy	0.2265625000052485	(.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
accuracy	0.24181948444470008	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v)))
accuracy	7.255045514687999	(/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O)

Samples

383.0ms	238×	0	valid
6.0ms	18×	0	exit

Compiler

Compiled 469 to 58 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-div: 21.0ms (26.6% of total)

ival-add: 17.0ms (21.6% of total)

ival-mult: 13.0ms (16.5% of total)

ival-exp: 12.0ms (15.2% of total)

ival-sub: 8.0ms (10.1% of total)

const: 4.0ms (5.1% of total)

ival-log: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

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

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

series78.0ms (0.7%)

Memory

-30.5MiB live, 125.8MiB allocated

Counts

24 → 245

Calls

Call 1

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

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))))
(+ (* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))) (* cosTheta_O cosTheta_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))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (/ -1 v)) v))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) (pow v 2))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (/ -1 v))) (pow v 2))))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (/ -1 v))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 3))))))))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(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))
(/ (* cosTheta_O cosTheta_i) sinTheta_O)
(/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) cosTheta_i) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) cosTheta_i) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
-1
(- (* cosTheta_O cosTheta_i) 1)
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) 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))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* v (exp (- (/ 1 v) 6931/10000)))))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(/ v (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ v cosTheta_O)) cosTheta_i)
(/ (- (+ (/ v cosTheta_O) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ v cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* 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) (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_i))))
(* -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 (/ (+ (* -1 (/ v cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(+ (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))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (/ -1 v))) (pow v 2))))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (/ -1 v))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 3))))))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(+ (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 (- (/ (* cosTheta_O (pow cosTheta_i 2)) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (pow cosTheta_i 3)) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_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 (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ v cosTheta_i)) cosTheta_O)
(/ (- (+ (/ v cosTheta_i) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ v cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* 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) (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_O))))
(* -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 (/ (+ (* -1 (/ v cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O)))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(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 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ (* sinTheta_O sinTheta_i) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))) sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))) sinTheta_i)))))
(* -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 (/ (+ (/ v sinTheta_O) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(+ (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 (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(+ (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 (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(/ (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))))
(* -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 (/ (+ (/ v sinTheta_i) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ 1/2 v)
(* 1/2 (/ (exp 6931/10000) v))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* v (+ (* -6931/10000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* 48038761/100000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (* 48038761/100000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(* 2 (* v (exp (- (/ 1 v) 6931/10000))))
6931/10000
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(exp 6931/10000)
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))
(/ (+ 1/2 (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)
(/ (+ 1/2 (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)
(/ (+ 1/2 (+ (* 1/12 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v))))) v)
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(/ 1/2 (* v (exp -6931/10000)))
(/ (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v)
(/ (+ (* 1/2 (/ (- (+ (* 1/2 (/ 1 (exp -6931/10000))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (pow v 2))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000))))) v)
(/ (+ (* 1/2 (/ (- (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (+ (* 1/6 (/ 1 (exp -6931/10000))) (+ (* 1/2 (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (+ (* 1/2 (/ 1 (exp -6931/10000))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))))) (pow v 3))) (+ (* 1/2 (/ (- (+ (* 1/2 (/ 1 (exp -6931/10000))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (pow v 2))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))))) v)
(- (+ 1 (/ (* 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))
10000/6931
(+ 10000/6931 (* -100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 10000/6931 (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))) (* 100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 10000/6931 (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3)))) (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* 100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))))
(* 2 (* v (exp -6931/10000)))
(* v (+ (* 2 (exp -6931/10000)) (* 2 (/ (exp -6931/10000) v))))
(* v (+ (* 2 (exp -6931/10000)) (+ (* 2 (/ (exp -6931/10000) v)) (/ (exp -6931/10000) (pow v 2)))))
(* v (+ (* 1/3 (/ (exp -6931/10000) (pow v 3))) (+ (* 2 (exp -6931/10000)) (+ (* 2 (/ (exp -6931/10000) v)) (/ (exp -6931/10000) (pow v 2))))))
(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 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (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))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (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))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v)))
(* -1 (/ (- (* -1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v)) (* 1/2 (- (* cosTheta_O cosTheta_i) 1))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* -1/12 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v))) v)) (* 1/2 (- (* cosTheta_O cosTheta_i) 1))) v)) 1/2) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000))))) v))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))))) (* 1/2 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (* 1/6 (/ 1 (exp -6931/10000)))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))))) v))) v)) (* -1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000))))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) 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)))
(+ 10000/6931 (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ 10000/6931 (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -2 (/ (exp -6931/10000) v)))))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -1 (/ (+ (* 2 (exp -6931/10000)) (/ (exp -6931/10000) v)) v)))))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/3 (/ (exp -6931/10000) v))) v)) (* 2 (exp -6931/10000))) v)))))

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	v	@	inf	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (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_i cosTheta_O) sinTheta_O) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)))
8.0ms	cosTheta_i	@	0	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (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_i cosTheta_O) sinTheta_O) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)))
7.0ms	cosTheta_O	@	-inf	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (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_i cosTheta_O) sinTheta_O) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)))
5.0ms	cosTheta_i	@	-inf	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (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_i cosTheta_O) sinTheta_O) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)))
5.0ms	cosTheta_i	@	inf	((/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (/ 1 (* 2 v)) (exp (+ (/ 1 (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (log (/ 1 (* 2 v))))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (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_i cosTheta_O) sinTheta_O) (/ 1 (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)))

simplify211.0ms (1.8%)

Memory

10.4MiB live, 249.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1408	8329
1	4687	8132
0	8153	7689

Stop Event

1×	iter limit
1×	node limit

Counts

245 → 245

Calls

Call 1

Inputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))))
(+ (* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))) (* cosTheta_O cosTheta_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))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (/ -1 v)) v))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) (pow v 2))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (/ -1 v))) (pow v 2))))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (/ -1 v))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 3))))))))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(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))
(/ (* cosTheta_O cosTheta_i) sinTheta_O)
(/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O cosTheta_i) (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) cosTheta_i) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) cosTheta_i) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_O (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
-1
(- (* cosTheta_O cosTheta_i) 1)
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) 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))) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v))
(* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(* 1/2 (/ (exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)) (* v (exp (- (/ 1 v) 6931/10000)))))
(exp (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(/ v (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ v cosTheta_O)) cosTheta_i)
(/ (- (+ (/ v cosTheta_O) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ v cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* 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) (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_i))))
(* -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 (/ (+ (* -1 (/ v cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(+ (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))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (/ -1 v))) (pow v 2))))))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (/ -1 v))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 3))))))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(+ (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 (- (/ (* cosTheta_O (pow cosTheta_i 2)) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (pow cosTheta_i 3)) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_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 (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ v cosTheta_i)) cosTheta_O)
(/ (- (+ (/ v cosTheta_i) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ v cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* 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) (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_O))))
(* -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 (/ (+ (* -1 (/ v cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O)))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000)))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(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 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ (* sinTheta_O sinTheta_i) (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* -1 sinTheta_O) (/ (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))) sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))) sinTheta_i)))))
(* -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 (/ (+ (/ v sinTheta_O) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(+ (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 (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(+ (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 (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(/ (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (+ sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))))
(* -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 (/ (+ (/ v sinTheta_i) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ 1/2 v)
(* 1/2 (/ (exp 6931/10000) v))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(* v (+ (* -6931/10000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* 48038761/100000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (* 48038761/100000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(* 2 (* v (exp (- (/ 1 v) 6931/10000))))
6931/10000
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(exp 6931/10000)
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))
(/ (+ 1/2 (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)
(/ (+ 1/2 (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)
(/ (+ 1/2 (+ (* 1/12 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v))))) v)
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(/ 1/2 (* v (exp -6931/10000)))
(/ (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v)
(/ (+ (* 1/2 (/ (- (+ (* 1/2 (/ 1 (exp -6931/10000))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (pow v 2))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000))))) v)
(/ (+ (* 1/2 (/ (- (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (+ (* 1/6 (/ 1 (exp -6931/10000))) (+ (* 1/2 (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (+ (* 1/2 (/ 1 (exp -6931/10000))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))))) (pow v 3))) (+ (* 1/2 (/ (- (+ (* 1/2 (/ 1 (exp -6931/10000))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp -6931/10000))) (pow v 2))) (+ (* 1/2 (/ (- (/ (* cosTheta_O cosTheta_i) (exp -6931/10000)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))))) v)
(- (+ 1 (/ (* 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))
10000/6931
(+ 10000/6931 (* -100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 10000/6931 (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))) (* 100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 10000/6931 (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3)))) (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* 100000000/48038761 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))))
(* 2 (* v (exp -6931/10000)))
(* v (+ (* 2 (exp -6931/10000)) (* 2 (/ (exp -6931/10000) v))))
(* v (+ (* 2 (exp -6931/10000)) (+ (* 2 (/ (exp -6931/10000) v)) (/ (exp -6931/10000) (pow v 2)))))
(* v (+ (* 1/3 (/ (exp -6931/10000) (pow v 3))) (+ (* 2 (exp -6931/10000)) (+ (* 2 (/ (exp -6931/10000) v)) (/ (exp -6931/10000) (pow v 2))))))
(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 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (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))))) (* -1 (/ (+ (* -1 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (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))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)))) v)) (* -1/2 (exp 6931/10000))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v)))
(* -1 (/ (- (* -1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v)) (* 1/2 (- (* cosTheta_O cosTheta_i) 1))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* -1/12 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v))) v)) (* 1/2 (- (* cosTheta_O cosTheta_i) 1))) v)) 1/2) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000))))) v))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))))) (* 1/2 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (* 1/6 (/ 1 (exp -6931/10000)))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))))) v))) v)) (* -1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000))))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) 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)))
(+ 10000/6931 (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ 10000/6931 (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -2 (/ (exp -6931/10000) v)))))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -1 (/ (+ (* 2 (exp -6931/10000)) (/ (exp -6931/10000) v)) v)))))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/3 (/ (exp -6931/10000) v))) v)) (* 2 (exp -6931/10000))) v)))))

Outputs
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))))
(fma.f32 (neg.f32 sinTheta_i) sinTheta_O #s(literal -1 binary32))
(+ (* -1 (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))) (* cosTheta_O cosTheta_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) (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v)) #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 cosTheta_O cosTheta_O) (/.f32 (exp.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v))) #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))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.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 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(+ (exp (- 6931/10000 (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(fma.f32 (fma.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 v v)) #s(literal 1/2 binary32))) cosTheta_i (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 cosTheta_O #s(literal 3 binary32)) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32))) cosTheta_i (*.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v))) cosTheta_i (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
(* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v))
(*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 2))) (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 v v))) (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))))))
(fma.f32 (fma.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_O) cosTheta_i) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/4 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (* (exp 6931/10000) (exp (/ -1 v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp 6931/10000) (exp (/ -1 v))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (* (exp 6931/10000) (exp (/ -1 v)))) (pow v 3))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.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 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/12 binary32))) cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) (.f32 v v))) #s(literal 1/2 binary32))) cosTheta_i (*.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))) v) #s(literal 1/2 binary32)))
(* 1/2 (/ (exp (/ -1 v)) v))
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 1/2 binary32))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) (pow v 2))))
(.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v v))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (/ -1 v))) (pow v 2))))))
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(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
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(* -1 (/ (+ (* -1 (/ v cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
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(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
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(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (/ -1 v))) (pow v 2))))))
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(+ (* 1/2 (/ (exp (/ -1 v)) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (/ -1 v))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 3))))))))
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(+ (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))))
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(+ (* cosTheta_O (- (/ (* cosTheta_O (pow cosTheta_i 2)) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(fma.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O) (*.f32 v v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (/.f32 (/.f32 cosTheta_i v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_O (/.f32 #s(literal 1 binary32) (-.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 (/ (* cosTheta_O (pow cosTheta_i 3)) (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 4)))) (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)))))) (/ cosTheta_i (* v (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ 1 (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) cosTheta_O (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (fma.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i v) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v))) cosTheta_O)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_O))))
(*.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O)) cosTheta_O)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(.f32 (-.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i 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)
(/ (+ (* -1 (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ v cosTheta_i)) cosTheta_O)
(/.f32 (-.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O))) cosTheta_O)
(/ (- (+ (/ v cosTheta_i) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/.f32 (-.f32 (fma.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_O cosTheta_O))) (/.f32 v cosTheta_i)) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ v cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(/.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 v #s(literal 4 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (.f32 (pow.f32 cosTheta_i #s(literal 4 binary32)) (pow.f32 cosTheta_O #s(literal 3 binary32)))) (/.f32 v cosTheta_i)) (-.f32 (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O)) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (.f32 (pow.f32 cosTheta_i #s(literal 3 binary32)) (.f32 cosTheta_O cosTheta_O)))))) cosTheta_O)
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(*.f32 (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_O)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_i) v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O))) cosTheta_O))))
(*.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(.f32 (-.f32 (.f32 (/.f32 sinTheta_O cosTheta_O) (/.f32 sinTheta_i 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))
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 cosTheta_i cosTheta_i) cosTheta_O)) (/.f32 v cosTheta_i))) cosTheta_O)
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) cosTheta_O) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (pow.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (neg.f32 (.f32 v v)) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_i))))) cosTheta_O) (/.f32 v cosTheta_i))) cosTheta_O)
(* -1 (/ (+ (* -1 (/ v cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (pow (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 (neg.f32 v) cosTheta_i) (/.f32 (-.f32 (/.f32 (neg.f32 (-.f32 (.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) cosTheta_O) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (pow.f32 cosTheta_i #s(literal 4 binary32)))) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (pow.f32 cosTheta_i #s(literal 3 binary32)))))) cosTheta_O) (/.f32 (.f32 (.f32 v v) (-.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_i))) cosTheta_O))) cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O)))
(*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_O)) sinTheta_O)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))))
(.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (.f32 v v)) #s(literal 1/2 binary32)) (.f32 sinTheta_O (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_i (*.f32 (neg.f32 sinTheta_O) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) v))) sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000)))))
(.f32 (/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))))
(fma.f32 (.f32 sinTheta_O (.f32 (/.f32 sinTheta_i (.f32 v v)) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) #s(literal -1/2 binary32) (.f32 (/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (pow.f32 v #s(literal 3 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal 1/4 binary32) (.f32 (.f32 (/.f32 sinTheta_O (.f32 v v)) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal -1/2 binary32))) sinTheta_i (.f32 (/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1/2 binary32)))
(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
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(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 (-.f32 (.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 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)))
(+ (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))))))))
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(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
(/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))
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(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_O (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 (-.f32 (fma.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i 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) (/ (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))) sinTheta_i)))
(.f32 (.f32 sinTheta_O (+.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_O)) sinTheta_i) #s(literal -1 binary32))) sinTheta_i)
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 (-.f32 (.f32 (/.f32 cosTheta_O sinTheta_i) (/.f32 cosTheta_i 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)
(* -1 (/ v (* sinTheta_O sinTheta_i)))
(/.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))
(/ (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 v sinTheta_O)) sinTheta_i))
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/.f32 (-.f32 (neg.f32 (fma.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 sinTheta_O #s(literal 3 binary32)))) (/.f32 v sinTheta_O))) (/.f32 (.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 sinTheta_O) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ v sinTheta_O)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(/.f32 (-.f32 (neg.f32 (fma.f32 (pow.f32 v #s(literal 4 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 4 binary32)))) (/.f32 v sinTheta_O))) (fma.f32 (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) sinTheta_i) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 sinTheta_O #s(literal 3 binary32))))))) sinTheta_i)
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) sinTheta_i) #s(literal -1 binary32) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (/ 1 sinTheta_O))) sinTheta_i)))))
(.f32 (neg.f32 sinTheta_i) (-.f32 sinTheta_O (/.f32 (.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_O)) sinTheta_O) 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_O sinTheta_i) (/.f32 cosTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) sinTheta_O))
(* -1 (/ (+ (/ v sinTheta_O) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 v sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(/.f32 (neg.f32 (-.f32 (/.f32 v sinTheta_O) (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) sinTheta_i) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 v v)) (*.f32 sinTheta_O sinTheta_O)))) sinTheta_i))) sinTheta_i)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_O 2))) sinTheta_i)) (/ v sinTheta_O)) sinTheta_i))
(/.f32 (neg.f32 (-.f32 (/.f32 v sinTheta_O) (/.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) (pow.f32 sinTheta_O #s(literal 4 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) sinTheta_i) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))))) sinTheta_i) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 v v)) (.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
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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 (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))
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(+ (* 1/2 (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (* v (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (* cosTheta_O cosTheta_i) v)))) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (/ (* cosTheta_O cosTheta_i) v))) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal 1/4 binary32) (.f32 (/.f32 (/.f32 (.f32 (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (pow.f32 v #s(literal 4 binary32))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) #s(literal -1/12 binary32))) sinTheta_O (.f32 (.f32 (/.f32 sinTheta_i (.f32 v v)) (exp.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) #s(literal -1/2 binary32))) sinTheta_O (.f32 (/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) v)) #s(literal 1/2 binary32)))
(+ (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 (-.f32 (.f32 (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (.f32 v v)) #s(literal 1/2 binary32)) (.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)))
(+ (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 (fma.f32 (neg.f32 sinTheta_i) (/.f32 (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)) v) (.f32 (fma.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (.f32 v v)) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v))) (pow.f32 v #s(literal 3 binary32))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (pow.f32 (exp.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(fma.f32 (fma.f32 sinTheta_O (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32))) (/.f32 (/.f32 sinTheta_i v) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)))) sinTheta_O (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 4))) (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)))))) (* -1 (/ sinTheta_i (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)))))) (/ 1 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 sinTheta_O (pow.f32 v #s(literal 3 binary32))) (/.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 4 binary32))) (/.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)))) sinTheta_O (/.f32 (/.f32 sinTheta_i v) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)))) sinTheta_O (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))
(* 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_O sinTheta_O) (/.f32 cosTheta_i 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) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_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)
(/ (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 sinTheta_i sinTheta_i)) (/.f32 v sinTheta_i)) sinTheta_O))
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/.f32 (-.f32 (neg.f32 (fma.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_O))) (/.f32 v sinTheta_i))) (/.f32 (.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_i sinTheta_i) sinTheta_O))) sinTheta_O)
(/ (- (+ (* -1 (/ v sinTheta_i)) (* -1 (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(/.f32 (-.f32 (neg.f32 (fma.f32 (pow.f32 v #s(literal 4 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (.f32 (pow.f32 sinTheta_i #s(literal 4 binary32)) (pow.f32 sinTheta_O #s(literal 3 binary32)))) (/.f32 v sinTheta_i))) (fma.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) (.f32 sinTheta_O sinTheta_O))) (/.f32 (.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_i sinTheta_i) sinTheta_O)))) sinTheta_O)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (fma.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) sinTheta_O) #s(literal -1 binary32) (/.f32 sinTheta_i v)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))))
(neg.f32 (fma.f32 (-.f32 sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O)) sinTheta_O #s(literal 1 binary32)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) v)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(.f32 (-.f32 sinTheta_i (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (/ (+ (/ v sinTheta_i) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 v v) sinTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 sinTheta_i sinTheta_i)) (/.f32 v sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 v sinTheta_i) (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 3 binary32)) sinTheta_O) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32))) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 v v)) (*.f32 sinTheta_i sinTheta_i)))) sinTheta_O))) sinTheta_O)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (pow sinTheta_i 2))) sinTheta_O)) (/ v sinTheta_i)) sinTheta_O))
(/.f32 (neg.f32 (-.f32 (/.f32 v sinTheta_i) (/.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (pow.f32 v #s(literal 4 binary32)) sinTheta_O) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 3 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (.f32 (pow.f32 v #s(literal 3 binary32)) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (pow.f32 sinTheta_i #s(literal 3 binary32)))))) sinTheta_O) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 v v)) (.f32 sinTheta_i sinTheta_i))) sinTheta_O))) 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)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (*.f32 sinTheta_i sinTheta_O)) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* 1/2 (/ (exp 6931/10000) v))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
(/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))
(/.f32 v (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))
(* v (+ (* -6931/10000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(.f32 (fma.f32 (/.f32 v (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32))) #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v)
(* v (+ (* v (- (* 48038761/100000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
(.f32 (fma.f32 (fma.f32 (/.f32 v (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32))) #s(literal 48038761/100000000 binary32) (/.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 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)))) v)
(* v (+ (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (* 48038761/100000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))))) (* 6931/10000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))))
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(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
(* 2 (* v (exp (- (/ 1 v) 6931/10000))))
(.f32 (.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
6931/10000
#s(literal 6931/10000 binary32)
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 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))
(fma.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(fma.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))) (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) (.f32 v v))) #s(literal 1/2 binary32) (.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 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) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
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(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))) v)
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(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))) v)
(/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 3 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/12 binary32) (fma.f32 (/.f32 (.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 v v)) #s(literal 1/4 binary32) (.f32 #s(literal 1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))))) v)
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))
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(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))
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(/ (+ 1/2 (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)
(/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)
(/.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 1/4 binary32) (.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* 1/12 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O cosTheta_i) 1) v))))) v)
(/.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/12 binary32) (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 1/4 binary32) (.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal 1/2 binary32)))) #s(literal 1/2 binary32)) v)
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(-.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 v v)) #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(/ 1/2 (* v (exp -6931/10000)))
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(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) #s(literal -1/2 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ (* 1/4 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v)) (* 1/2 (- (* cosTheta_O cosTheta_i) 1))) v)) 1/2) v))
(neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) v) #s(literal 1/4 binary32) (*.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 1/2 binary32))) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* -1/12 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v))) v)) (* 1/2 (- (* cosTheta_O cosTheta_i) 1))) v)) 1/2) v))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 3 binary32)) v) #s(literal -1/12 binary32) (.f32 #s(literal -1/4 binary32) (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)))) v)) v)) #s(literal 1/2 binary32)) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) v) #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 3 binary32)) v) #s(literal 1/6 binary32) (*.f32 (pow.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) v)) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
(* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(/.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) v) (exp.f32 #s(literal 6931/10000 binary32))))) v)
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000))))) v))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(/.f32 (neg.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (.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 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))))) v) #s(literal 1/2 binary32) (.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -1/2 binary32))) v) #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))))) (* 1/2 (/ (- (+ (* -1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (* 1/6 (/ 1 (exp -6931/10000)))) (+ (* -1 (- (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (+ (* -1 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))))) (* 1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000)))))) v))) v)) (* -1/2 (+ (* -1 (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (/ 1 (exp -6931/10000))))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))
(/.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 (.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/6 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/6 binary32))) (-.f32 (.f32 (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32)) (-.f32 (.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 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))))))) v) #s(literal 1/2 binary32) (.f32 (-.f32 (.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 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) (exp.f32 #s(literal -6931/10000 binary32)))))) #s(literal -1/2 binary32))) v)) v) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) 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 (fma.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) (fma.f32 (neg.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 (-.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (.f32 sinTheta_i sinTheta_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))
(+ 10000/6931 (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 #s(literal 10000/6931 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)) v) #s(literal -1000000000000/332956652491 binary32) (.f32 #s(literal 100000000/48038761 binary32) (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v))
(+ 10000/6931 (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -100000000/48038761 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 #s(literal 10000/6931 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 3 binary32)) v) #s(literal -10000000000000000/2307722558415121 binary32) (.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_i sinTheta_O)) #s(literal 2 binary32)))) v)) (.f32 #s(literal -100000000/48038761 binary32) (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -2 (/ (exp -6931/10000) v)))))
(.f32 (neg.f32 v) (.f32 #s(literal -2 binary32) (+.f32 (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) (exp.f32 #s(literal -6931/10000 binary32)))))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -1 (/ (+ (* 2 (exp -6931/10000)) (/ (exp -6931/10000) v)) v)))))
(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (fma.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal 2 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) v)))
(* -1 (* v (+ (* -2 (exp -6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (exp -6931/10000)) (* -1/3 (/ (exp -6931/10000) v))) v)) (* 2 (exp -6931/10000))) v)))))
(.f32 (neg.f32 v) (-.f32 (.f32 #s(literal -2 binary32) (exp.f32 #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (.f32 (exp.f32 #s(literal -6931/10000 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (exp.f32 #s(literal -6931/10000 binary32))) v)) v)))

rewrite163.0ms (1.4%)

Memory

27.0MiB live, 256.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	367
0	101	341
1	443	328
2	3951	328
0	8364	321

Stop Event

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

Counts

24 → 531

Calls

Call 1

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

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

eval122.0ms (1%)

Memory: -8.7MiB live, 231.2MiB allocated
Compiler: Compiled 34 585 to 4 027 computations (88.4% saved)

prune28.0ms (0.2%)

Memory

5.2MiB live, 83.4MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	726	14	740
Fresh	12	1	13
Picked	4	1	5
Done	0	0	0
Total	742	16	758

Accuracy

99.9%

Counts

758 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.3%	(/.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (/.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 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
	61.7%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	99.4%	(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
▶	99.7%	(exp.f32 (-.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
	4.7%	#s(approx (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)))
▶	4.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
	4.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))
▶	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(approx (+ ( cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	99.1%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ (+ ( cosTheta_i cosTheta_O) -1) v) 6931/10000) (*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O)))))
✓	4.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
	35.5%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (pow.f32 (exp.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
	33.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
	42.3%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 (/.f32 #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))))
	99.2%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (+.f32 (+.f32 (/.f32 (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)))))

Compiler

Compiled 1 122 to 905 computations (19.3% saved)

simplify108.0ms (0.9%)

Memory

-13.7MiB live, 144.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	580
0	103	570
1	187	562
2	384	562
3	997	550
4	3151	550
5	7871	550
0	8335	523

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (1.3%)

Memory

16.9MiB live, 294.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v) #s(literal 6931/10000 binary32))
accuracy	0.08002240229362001	(exp.f32 (-.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.2265625000052485	(.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)
accuracy	7.255045514687999	(/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O)
accuracy	0.10243766442805155	(/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v))
accuracy	1.6118168412449672	(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
accuracy	4.1496861789880874	(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)
accuracy	6.358592768115248	#s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)))
accuracy	0.03353500976844202	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(approx (+ ( cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
accuracy	0.046875	(+.f32 (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
accuracy	0.059010011486112825	(exp.f32 (+.f32 (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
accuracy	0.08361881355593465	#s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))
accuracy	0.0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.3359375	(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v)
accuracy	28.327001131127023	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
accuracy	0.01171875	(.f32 (.f32 (exp.f32 (/.f32 #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)))
accuracy	0.0234375	(.f32 (exp.f32 (/.f32 #s(approx (+ ( cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.06883256294247907	(exp.f32 (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v))
accuracy	0.08361881355593465	#s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))

Samples

107.0ms	238×	0	valid
7.0ms	18×	0	exit

Compiler

Compiled 426 to 59 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 21.0ms (24.2% of total)

ival-sub: 19.0ms (21.9% of total)

ival-mult: 16.0ms (18.5% of total)

ival-exp: 13.0ms (15% of total)

ival-add: 8.0ms (9.2% of total)

ival-log: 5.0ms (5.8% of total)

const: 4.0ms (4.6% of total)

exact: 1.0ms (1.2% of total)

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

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

series93.0ms (0.8%)

Memory

6.9MiB live, 171.0MiB allocated

Counts

25 → 248

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	cosTheta_O	@	-inf	((* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (exp (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)) (/ (* cosTheta_i cosTheta_O) sinTheta_O) (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000))
9.0ms	cosTheta_i	@	inf	((* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (exp (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)) (/ (* cosTheta_i cosTheta_O) sinTheta_O) (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000))
8.0ms	v	@	inf	((* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (exp (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)) (/ (* cosTheta_i cosTheta_O) sinTheta_O) (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000))
6.0ms	v	@	-inf	((* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (exp (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)) (/ (* cosTheta_i cosTheta_O) sinTheta_O) (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000))
6.0ms	cosTheta_i	@	0	((* (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp 6931/10000)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (/ 1/2 v)) (exp (/ (+ (* cosTheta_i cosTheta_O) -1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* (exp 6931/10000) 1/2) v) (* (exp 6931/10000) 1/2) (exp 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000))) (/ 1/2 v) (exp (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000)) (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+ 1 (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v) (* (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) sinTheta_O) (exp (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v)))) (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/ 1 sinTheta_O)) (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (+ (* cosTheta_i cosTheta_O) -1) (+ (/ (+ (* cosTheta_i cosTheta_O) -1) v) 6931/10000) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v)) (/ (* cosTheta_i cosTheta_O) sinTheta_O) (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000))

simplify174.0ms (1.5%)

Memory

-12.6MiB live, 306.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1305	7792
1	4346	7554
0	8100	7165

Stop Event

1×	iter limit
1×	node limit

Counts

248 → 248

Calls

Call 1

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

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

rewrite309.0ms (2.6%)

Memory

16.4MiB live, 261.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	425
0	103	415
1	446	401
2	3976	401
0	8174	386

Stop Event

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

Counts

25 → 550

Calls

Call 1

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

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

eval174.0ms (1.5%)

Memory: -20.8MiB live, 171.0MiB allocated
Compiler: Compiled 40 382 to 4 207 computations (89.6% saved)

prune58.0ms (0.5%)

Memory

16.0MiB live, 92.4MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	820	7	827
Fresh	6	4	10
Picked	2	3	5
Done	0	1	1
Total	828	15	843

Accuracy

99.9%

Counts

843 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f32 (.f32 #s(approx (exp (/ (- ( cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) v))
	99.7%	(/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v) #s(literal 6931/10000 binary32)) (log.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 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) sinTheta_O) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_O)) sinTheta_O)) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
	62.1%	(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O)) v))) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.4%	(/.f32 #s(approx (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v))) (*.f32 (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v))))
	96.6%	(exp.f32 #s(approx (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
	4.7%	#s(approx (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)))
✓	4.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
✓	99.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(approx (+ ( cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	99.1%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (/ (+ ( cosTheta_i cosTheta_O) -1) v) 6931/10000) (*.f32 (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)) cosTheta_O)))))
✓	4.7%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
	99.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (pow.f32 (exp.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
	99.8%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (pow.f32 (E.f32) (/.f32 #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%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 (/.f32 #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%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))))

Compiler

Compiled 2 246 to 761 computations (66.1% saved)

regimes169.0ms (1.4%)

Memory

10.0MiB live, 173.5MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

36.0ms	cosTheta_O
34.0ms	sinTheta_O
23.0ms	(*.f32 sinTheta_i sinTheta_O)
18.0ms	(+.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))))
12.0ms	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)

regimes166.0ms (1.4%)

Memory

-29.8MiB live, 175.0MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

39.0ms	sinTheta_O
26.0ms	cosTheta_i
24.0ms	(+.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))))
21.0ms	(*.f32 sinTheta_i sinTheta_O)
18.0ms	cosTheta_O

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)

regimes216.0ms (1.8%)

Memory

34.4MiB live, 73.9MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

170.0ms	v
6.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
6.0ms	sinTheta_i
6.0ms	sinTheta_O
6.0ms	cosTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes101.0ms (0.9%)

Memory

0.1MiB live, 78.0MiB allocated

Counts

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

Calls

9 calls:

16.0ms	v
6.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	sinTheta_i
5.0ms	sinTheta_O
5.0ms	cosTheta_O

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes36.0ms (0.3%)

Memory

0.8MiB live, 42.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

10.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	v
3.0ms	cosTheta_O
3.0ms	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)

regimes42.0ms (0.4%)

Memory

-34.8MiB live, 44.2MiB 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(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) (exp.f32 #s(literal 6931/10000 binary32))) v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) v))
#s(approx (/ (exp (/ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) v)) (/ (exp (- (/ 1 v) 6931/10000)) (/ 1/2 v))) (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 #s(approx (- (+ (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) 6931/10000) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))))

Outputs

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

Calls

9 calls:

13.0ms	cosTheta_i
9.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
3.0ms	v
3.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
40.8%	1	`cosTheta_i`
40.8%	1	`cosTheta_O`
40.8%	1	`sinTheta_i`
40.8%	1	`sinTheta_O`
40.8%	1	`v`
40.8%	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)))))`
40.8%	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))))`
40.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
40.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes23.0ms (0.2%)

Memory

3.6MiB live, 42.7MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
4.7%	1	`sinTheta_O`
4.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
4.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
4.7%	1	`cosTheta_i`
4.7%	1	`cosTheta_O`
4.7%	1	`sinTheta_i`
4.7%	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)))))`
4.7%	1	`v`
4.7%	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))))`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes10.0ms (0.1%)

Memory

24.2MiB live, 24.2MiB 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(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(literal 6931/10000 binary32))))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
4.7%	1	`sinTheta_O`
4.7%	1	`cosTheta_O`
4.7%	1	`cosTheta_i`
4.7%	1	`sinTheta_i`
4.7%	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)))))`
4.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
4.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
4.7%	1	`v`
4.7%	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))))`

Compiler

Compiled 60 to 78 computations (-30% saved)

simplify160.0ms (1.4%)

Memory

-22.4MiB live, 54.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	313
1	137	277
2	283	270
3	711	270
4	2227	270
5	6179	270

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness1.5s (12.5%)

Memory

17.8MiB live, 1 026.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1408	8329
1	4687	8132
0	8153	7689
0	60	301
0	94	278
1	410	262
2	3400	262
0	9238	253
0	326	1885
1	1054	1815
2	3707	1627
0	8201	1506
0	69	425
0	103	415
1	446	401
2	3976	401
0	8174	386
0	1489	9710
1	4908	9253
0	8141	8744
0	21	83
0	34	71
1	147	64
2	1507	64
0	8186	64
0	66	367
0	101	341
1	443	328
2	3951	328
0	8364	321
0	1305	7792
1	4346	7554
0	8100	7165

Stop Event

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

Compiler

Compiled 971 to 649 computations (33.2% saved)

preprocess65.0ms (0.5%)

Memory

-14.9MiB live, 103.6MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 870 to 354 computations (59.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze467.0ms (4%)

sample2.7s (23.2%)

explain244.0ms (2.1%)

preprocess168.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify118.0ms (1%)

localize49.0ms (0.4%)

series32.0ms (0.3%)

simplify179.0ms (1.5%)

rewrite245.0ms (2.1%)

eval113.0ms (1%)

prune16.0ms (0.1%)

simplify186.0ms (1.6%)

localize198.0ms (1.7%)

series328.0ms (2.8%)

simplify563.0ms (4.8%)

rewrite277.0ms (2.4%)

eval559.0ms (4.8%)

prune67.0ms (0.6%)

simplify426.0ms (3.6%)

localize663.0ms (5.6%)

series78.0ms (0.7%)

simplify211.0ms (1.8%)

rewrite163.0ms (1.4%)

eval122.0ms (1%)

prune28.0ms (0.2%)

simplify108.0ms (0.9%)

localize153.0ms (1.3%)

series93.0ms (0.8%)

simplify174.0ms (1.5%)

rewrite309.0ms (2.6%)

eval174.0ms (1.5%)

prune58.0ms (0.5%)

regimes169.0ms (1.4%)

regimes166.0ms (1.4%)

regimes216.0ms (1.8%)

regimes101.0ms (0.9%)

regimes36.0ms (0.3%)

regimes42.0ms (0.4%)

regimes23.0ms (0.2%)

regimes10.0ms (0.1%)

simplify160.0ms (1.4%)

soundness1.5s (12.5%)

preprocess65.0ms (0.5%)

end0.0ms (0%)

Profiling