Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze423.0ms (4.2%)

Memory

48.0MiB live, 423.9MiB allocated; 68ms collecting garbage

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)

sample2.5s (24.6%)

Memory

99.1MiB live, 2 743.8MiB allocated; 604ms collecting garbage

Samples

1.8s	8 256×	0	valid
26.0ms	139×	0	invalid

Precisions

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

const: 388.0ms (25% of total)

ival-div: 257.0ms (16.5% of total)

ival-mult: 228.0ms (14.7% of total)

ival-<=: 221.0ms (14.2% of total)

ival-exp: 119.0ms (7.7% of total)

ival-log: 106.0ms (6.8% of total)

ival-sub: 80.0ms (5.1% of total)

ival-add: 78.0ms (5% of total)

ival-and: 56.0ms (3.6% of total)

exact: 17.0ms (1.1% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain311.0ms (3.1%)

Memory

-31.9MiB live, 260.7MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	2	(0.0030880728736519814 1.6054021696779854e-21 9.669877776242562e-27 1.2103924279076792e-38 4.902870096603134e-20)	22	(1.2539979471481999e-11 -2.571712451392827e-32 -1.3094037542989216e-27 1.0900865368398597e-16 6.358418461482069e-19)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
88	3	(-1.278975770440429e-29 -3.1462472283624004e-25 -3.196086050265396e-23 -1.022002851390398e-21 7.665306167581321e-10)	28	(3.8136919660246937e-35 -3.2842119708220707e-6 1.0394118724411527e-27 2.715606839439999e-22 4.3746425926194377e-10)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
1	7	(5.323703320400254e-17 -2.763085683838577e-19 -0.00023438104835804552 3.04049459221023e-11 0.0016355249099433422)	1	(-1.662742420194263e-6 -1.1982704955420374e-38 -1.1095932110526025e-23 1.4910837080606143e-6 0.016457339748740196)	`(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	0	-	0	-	`(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	-	`#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	9	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	90
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	8	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	79
`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	7	4
`log.f32`	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`	oflow-rescue	1	0
↳	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	5
-	23	227

Precision

0.041666666666666664

Recall

0.16666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	3	2
-	23	1	226

Precision?

0.14285714285714285

Recall?

0.6666666666666666

Freqs

test

number	freq
0	232
1	23
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

93.0ms

512×

valid

Compiler

Compiled 295 to 67 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 32.0ms (45.4% of total)

ival-mult: 10.0ms (14.2% of total)

const: 7.0ms (9.9% of total)

ival-log: 6.0ms (8.5% of total)

ival-add: 5.0ms (7.1% of total)

ival-sub: 5.0ms (7.1% of total)

ival-exp: 4.0ms (5.7% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess230.0ms (2.3%)

Memory

32.5MiB live, 116.8MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	481
1	440	419
2	1130	402
3	3600	400
0	21	25
0	34	23
1	64	20
2	130	20
3	346	20
4	1416	19
0	8303	17

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(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

▶

99.2%

(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)

simplify197.0ms (1.9%)

Memory

-5.8MiB live, 101.7MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
cost-diff	2	(+.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	34	125
1	64	116
2	130	116
3	346	115
4	1416	111
0	8303	104

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

localize77.0ms (0.8%)

Memory

-25.9MiB live, 65.1MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08896857118096385	(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	0.15596092277708387	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	7.401515123866403	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	7.801872835049811	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

43.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 7.0ms (27.9% of total)

ival-mult: 5.0ms (19.9% of total)

const: 4.0ms (15.9% of total)

ival-log: 3.0ms (11.9% of total)

ival-exp: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

ival-sub: 2.0ms (8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series141.0ms (1.4%)

Memory

-3.8MiB live, 99.1MiB allocated; 10ms collecting garbage

Counts

7 → 56

Calls

Call 1

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

Calls

15 calls:

Time	Variable		Point	Expression
58.0ms	v	@	0	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))))
36.0ms	sinTheta_O	@	-inf	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))))
21.0ms	v	@	-inf	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))))
8.0ms	v	@	inf	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))))
3.0ms	sinTheta_O	@	0	((+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))))

simplify149.0ms (1.5%)

Memory

1.7MiB live, 92.6MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	1633
1	996	1580
2	4269	1444
0	8288	1365

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 56

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

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

rewrite222.0ms (2.2%)

Memory

31.1MiB live, 167.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	74
0	34	62
1	137	57
2	1213	57
0	8896	55

Stop Event

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

Counts

7 → 210

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: -15.4MiB live, 86.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 11 199 to 1 561 computations (86.1% saved)

prune12.0ms (0.1%)

Memory

-18.6MiB live, 28.0MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	249	10	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	10	260

Accuracy

99.8%

Counts

260 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.0%	(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))))))
▶	99.7%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
	85.6%	(/.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))))
	44.2%	(.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
	99.2%	(.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
▶	99.3%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
▶	99.2%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 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 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
	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 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))

Compiler

Compiled 726 to 498 computations (31.4% saved)

simplify155.0ms (1.5%)

Memory

-52.6MiB live, 158.9MiB allocated; 59ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	534
0	88	470
1	185	467
2	433	466
3	1350	463
4	7059	463
0	8854	463

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.5%)

Memory

28.7MiB live, 162.5MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05860474615471505	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
accuracy	0.08569303767586274	(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
accuracy	1.2225460735004194	(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))))))
accuracy	7.393702623866403	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy	0.0546875	(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v))))
accuracy	0.08896857118096385	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))))
accuracy	0.15596092277708387	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.31640625	(fma.f32 #s(literal 6931/10000 binary32) v (*.f32 cosTheta_O cosTheta_i))
accuracy	0.0546875	(+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
accuracy	0.08896857118096385	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
accuracy	0.09532685223025764	#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
accuracy	0.15596092277708387	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.3515625	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	29.686876337857623	#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	0.00390625	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) v))
accuracy	0.01953125	(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
accuracy	0.04296875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
accuracy	0.09726230433356563	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32)))

Samples

86.0ms	249×	0	valid
2.0ms	7×	0	exit

Compiler

Compiled 481 to 50 computations (89.6% saved)

Precisions

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

ival-div: 17.0ms (27.3% of total)

ival-mult: 11.0ms (17.7% of total)

ival-exp: 10.0ms (16.1% of total)

ival-add: 7.0ms (11.3% of total)

ival-sub: 7.0ms (11.3% of total)

ival-log: 5.0ms (8% of total)

const: 4.0ms (6.4% of total)

exact: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

series204.0ms (2%)

Memory

-19.7MiB live, 269.4MiB allocated; 36ms collecting garbage

Counts

22 → 173

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
36.0ms	cosTheta_i	@	0	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ (* sinTheta_O sinTheta_i) 1)) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (log (/ 1 (* 2 v))) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
30.0ms	cosTheta_O	@	-inf	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ (* sinTheta_O sinTheta_i) 1)) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (log (/ 1 (* 2 v))) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
18.0ms	cosTheta_i	@	inf	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ (* sinTheta_O sinTheta_i) 1)) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (log (/ 1 (* 2 v))) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
17.0ms	v	@	-inf	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ (* sinTheta_O sinTheta_i) 1)) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (log (/ 1 (* 2 v))) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
17.0ms	v	@	0	((+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp 6931/10000)) (/ 1/2 v) (exp 6931/10000) (/ 1 (* 2 v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ (* sinTheta_O sinTheta_i) 1)) v) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v) (log (/ 1 (* 2 v))) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))

simplify172.0ms (1.7%)

Memory

-2.5MiB live, 267.9MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	991	6749
1	3524	6603
0	8347	6228

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 173

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

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

rewrite232.0ms (2.3%)

Memory

23.6MiB live, 278.4MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	359
0	88	305
1	414	302
2	3598	301
0	8253	301

Stop Event

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

Counts

22 → 431

Calls

Call 1

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

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

eval64.0ms (0.6%)

Memory: -12.7MiB live, 122.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 24 973 to 2 652 computations (89.4% saved)

prune23.0ms (0.2%)

Memory

-5.9MiB live, 50.5MiB allocated; 4ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	512	13	525
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	519	16	535

Accuracy

99.8%

Counts

535 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.4%	(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32)))))))
	92.6%	(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 2 binary32)) (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (.f32 #s(literal 2 binary32) v)))))))
	93.0%	(/.f32 (exp.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) (exp.f32 (log.f32 v))))
	13.2%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (/.f32 (.f32 (neg.f32 sinTheta_i) sinTheta_O) v))) (.f32 #s(literal 2 binary32) v))
▶	99.7%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (*.f32 #s(literal 2 binary32) v))
▶	4.6%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
▶	99.7%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
	99.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
	44.2%	(.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))))))
▶	99.2%	(.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.7%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/.f32 (-.f32 (fma.f32 #s(literal 6931/10000 binary32) v (.f32 cosTheta_O cosTheta_i)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (neg.f32 (log.f32 (.f32 #s(literal 2 binary32) v)))))
	99.6%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))))
	99.3%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
	99.3%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v))))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
▶	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 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))

Compiler

Compiled 1 250 to 811 computations (35.1% saved)

simplify124.0ms (1.2%)

Memory

-1.0MiB live, 134.6MiB allocated; 10ms collecting garbage

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	437
0	96	417
1	196	412
2	460	410
3	1594	410
0	8589	410

Stop Event

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

Calls

Call 1

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

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

localize158.0ms (1.6%)

Memory

13.0MiB live, 260.4MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.0703125	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v))
accuracy	0.09008016324105539	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)))
accuracy	0.15596092277708387	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy	0.015261291389095776	#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 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))
accuracy	0.10310964670953074	(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
accuracy	0.12889523235004197	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
accuracy	0.3515625	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
accuracy	0.01171875	(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
accuracy	0.03515625	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
accuracy	0.09532685223025764	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
accuracy	0.09726230433356563	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
accuracy	0.0	(*.f32 #s(literal 2 binary32) v)
accuracy	0.00390625	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
accuracy	0.09726230433356563	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
accuracy	30.447174003252826	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
accuracy	0.0546875	(-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.08569303767586274	(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v)))))
accuracy	1.2225460735004194	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 #s(literal 2 binary32) v))))))
accuracy	6.185067072359914	#s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32))

Samples

115.0ms	249×	0	valid
3.0ms	7×	0	exit

Compiler

Compiled 406 to 58 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-exp: 28.0ms (29.9% of total)

ival-div: 21.0ms (22.5% of total)

ival-sub: 13.0ms (13.9% of total)

ival-mult: 12.0ms (12.8% of total)

ival-add: 8.0ms (8.6% of total)

ival-log: 7.0ms (7.5% of total)

const: 4.0ms (4.3% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series162.0ms (1.6%)

Memory

6.5MiB live, 244.3MiB allocated; 15ms collecting garbage

Counts

22 → 239

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
24.0ms	v	@	-inf	((exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (* (* (/ 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 (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (exp 6931/10000)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (log (/ 1/2 v)) (/ (+ (* sinTheta_i sinTheta_O) 1) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
19.0ms	sinTheta_O	@	inf	((exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (* (* (/ 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 (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (exp 6931/10000)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (log (/ 1/2 v)) (/ (+ (* sinTheta_i sinTheta_O) 1) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
14.0ms	cosTheta_i	@	inf	((exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (* (* (/ 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 (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (exp 6931/10000)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (log (/ 1/2 v)) (/ (+ (* sinTheta_i sinTheta_O) 1) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
13.0ms	v	@	inf	((exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (* (* (/ 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 (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (exp 6931/10000)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (log (/ 1/2 v)) (/ (+ (* sinTheta_i sinTheta_O) 1) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))
12.0ms	v	@	0	((exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (* 2 v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (* 2 v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (* (* (/ 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 (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (exp 6931/10000)) (exp (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (+ (log (/ 1/2 v)) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (log (/ 1/2 v)) (/ (+ (* sinTheta_i sinTheta_O) 1) v) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))

simplify205.0ms (2%)

Memory

-4.5MiB live, 270.5MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1388	9601
1	5037	9310
0	9438	8789

Stop Event

1×	iter limit
1×	node limit

Counts

239 → 239

Calls

Call 1

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

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

rewrite338.0ms (3.3%)

Memory

57.7MiB live, 340.9MiB allocated; 168ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	331
0	96	311
1	458	306
2	3295	304
0	8340	304

Stop Event

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

Counts

22 → 276

Calls

Call 1

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

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

eval108.0ms (1.1%)

Memory: -12.7MiB live, 134.0MiB allocated; 55ms collecting garbage
Compiler: Compiled 26 225 to 2 781 computations (89.4% saved)

prune48.0ms (0.5%)

Memory

-6.0MiB live, 41.1MiB allocated; 1ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	544	14	558
Fresh	6	4	10
Picked	5	0	5
Done	0	1	1
Total	555	19	574

Accuracy

99.9%

Counts

574 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32)))) v)
	99.7%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (-.f32 #s(literal 6931/10000 binary32) #s(approx (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 2 binary32) v))
▶	4.6%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
	44.2%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (.f32 #s(literal 2 binary32) v))) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32)))))))
	99.7%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
▶	99.7%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))))))
	97.8%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 #s(approx (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
	14.6%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 #s(approx (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (* 2 v)))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
▶	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
▶	99.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
	44.2%	(.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 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))) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 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))) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))
	99.2%	(.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.3%	(.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.6%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))))
	99.3%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
▶	99.3%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v))))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
	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))) #s(approx (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (exp.f32 (/.f32 #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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))

Compiler

Compiled 1 406 to 973 computations (30.8% saved)

simplify134.0ms (1.3%)

Memory

42.2MiB live, 135.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	575
0	103	540
1	201	538
2	444	530
3	1239	530
4	4716	530
0	8110	530

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (1.7%)

Memory

11.6MiB live, 240.7MiB allocated; 49ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08896857118096385	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v))))))
accuracy	0.11328125	(/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i)
accuracy	0.15596092277708387	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
accuracy	13.004098830644438	(*.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 (/.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) cosTheta_i) (/.f32 cosTheta_O v))))
accuracy	0.0546875	(-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))))
accuracy	0.08569303767586274	(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v)))))
accuracy	1.2225460735004194	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))))))
accuracy	6.185067072359914	#s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32))
accuracy	0.03515625	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
accuracy	0.09532685223025764	#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))
accuracy	0.09726230433356563	(exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
accuracy	0.13670773235004197	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))
accuracy	0.0	(+.f32 v v)
accuracy	0.00390625	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
accuracy	0.09726230433356563	(exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32)))
accuracy	30.447174003252826	#s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))
accuracy	0.01953125	(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v)
accuracy	0.04296875	(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
accuracy	0.05859375	(-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
accuracy	0.08273477892758926	(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))

Samples

118.0ms	249×	0	valid
3.0ms	7×	0	exit

Compiler

Compiled 517 to 65 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 24.0ms (25.5% of total)

ival-log: 14.0ms (14.9% of total)

ival-add: 11.0ms (11.7% of total)

ival-exp: 11.0ms (11.7% of total)

const: 11.0ms (11.7% of total)

ival-mult: 10.0ms (10.6% of total)

ival-sub: 9.0ms (9.6% of total)

ival-neg: 2.0ms (2.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series493.0ms (4.9%)

Memory

-36.8MiB live, 489.7MiB allocated; 239ms collecting garbage

Counts

25 → 283

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
151.0ms	cosTheta_i	@	inf	((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))) (* (neg cosTheta_i) (neg (+ (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i) (/ cosTheta_O v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (neg cosTheta_i) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (log (/ 1/2 v)) (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i))
93.0ms	v	@	0	((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))) (* (neg cosTheta_i) (neg (+ (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i) (/ cosTheta_O v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (neg cosTheta_i) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (log (/ 1/2 v)) (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i))
38.0ms	sinTheta_i	@	0	((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))) (* (neg cosTheta_i) (neg (+ (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i) (/ cosTheta_O v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (neg cosTheta_i) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (log (/ 1/2 v)) (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i))
36.0ms	v	@	-inf	((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))) (* (neg cosTheta_i) (neg (+ (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i) (/ cosTheta_O v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (neg cosTheta_i) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (log (/ 1/2 v)) (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i))
28.0ms	v	@	inf	((exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))) (/ 1/2 (exp (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))) (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (log v) (/ (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ v v)) (exp (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0)) (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (+ v v) (* (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000))) (/ 1/2 v) (exp (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v))))) (/ (exp (/ (* cosTheta_O cosTheta_i) v)) (exp (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))))) (exp (/ (* cosTheta_O cosTheta_i) v)) (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))) (* (neg cosTheta_i) (neg (+ (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i) (/ cosTheta_O v)))) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (neg cosTheta_i) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000) (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (log (/ 1/2 v)) (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ (* sinTheta_i sinTheta_O) 1) v)) cosTheta_i))

simplify216.0ms (2.1%)

Memory

48.3MiB live, 279.4MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1545	10767
1	5486	10503
0	8096	9914

Stop Event

1×	iter limit
1×	node limit

Counts

283 → 283

Calls

Call 1

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

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

rewrite205.0ms (2%)

Memory

1.8MiB live, 232.0MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	424
0	103	389
1	509	362
2	3889	355
0	8678	355

Stop Event

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

Counts

25 → 316

Calls

Call 1

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

Outputs
(.f32 (exp.f32 (-.f32 (log.f32 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 v) #s(literal 0 binary32))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 (exp.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) #s(literal 2 binary32)) (.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))))
(/.f32 (/.f32 v (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (neg.f32 v) (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))
(/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(+.f32 (cosh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (sinh.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(exp.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(.f32 #s(literal 0 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (neg.f32 v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 #s(literal 0 binary32))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 v (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (pow.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32))) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(/.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))
(-.f32 (-.f32 (log.f32 v) #s(literal 0 binary32)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(-.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(-.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))))
(-.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 6931/10000 binary32))
(-.f32 (-.f32 (-.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 0 binary32))
(-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))
(+.f32 (-.f32 (log.f32 v) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(log.f32 v)
(.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32)) #s(literal 0 binary32))
(.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32)))) (fma.f32 v v #s(literal 0 binary32)))
(/.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))))) #s(literal 0 binary32))
(/.f32 (neg.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(+.f32 (/.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32)) (/.f32 (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32)))
(neg.f32 (/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) (.f32 (cosh.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))))
(+.f32 (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))))
(+.f32 (cosh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) (sinh.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))))
(exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32)))
#s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))
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(*.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32)))
(*.f32 #s(literal 1 binary32) (log.f32 #s(literal 0 binary32)))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))) (fabs.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) v))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32)))) (fabs.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32))))))))
(/.f32 (pow.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 #s(literal 1/2 binary32)) (fma.f32 (log.f32 v) (log.f32 v) (log.f32 (pow.f32 v (log.f32 #s(literal 1/2 binary32)))))))
(/.f32 (log.f32 #s(literal 0 binary32)) (fabs.f32 (+.f32 #s(literal 0 binary32) (log.f32 #s(literal 0 binary32)))))
(/.f32 (log.f32 #s(literal 0 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32)))
(/.f32 (log.f32 #s(literal 0 binary32)) (+.f32 #s(literal 0 binary32) (log.f32 #s(literal 0 binary32))))
(/.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(-.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 2 binary32)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 0 binary32)))
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32)))) (log.f32 (fma.f32 v v #s(literal 0 binary32))))
(-.f32 (log.f32 #s(literal 0 binary32)) (*.f32 #s(literal -6931/10000 binary32) (log.f32 #s(literal 0 binary32))))
(-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 v))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 #s(literal 0 binary32) (log.f32 #s(literal 0 binary32)))
(fma.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 (pow.f32 #s(literal 6931/10000 binary32) #s(literal 3/2 binary32)) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 #s(literal 48038761/100000000 binary32) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) (pow.f32 #s(literal 6931/10000 binary32) #s(literal 3/2 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) #s(literal 48038761/100000000 binary32) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) #s(literal 332956652491/1000000000000 binary32) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) #s(literal -1 binary32) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 #s(literal 0 binary32)) #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32)))
(fma.f32 #s(literal 332956652491/1000000000000 binary32) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 #s(literal 1/2 binary32)))
(fma.f32 #s(literal 0 binary32) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(fma.f32 (log.f32 v) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 (log.f32 (log.f32 #s(literal 0 binary32)))) #s(literal 3 binary32))
(pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 4 binary32))
(pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 9 binary32))
(pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 6 binary32))
(pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 3/2 binary32))
(pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 3 binary32))
(pow.f32 (log.f32 #s(literal 0 binary32)) #s(literal 2 binary32))
(fabs.f32 (-.f32 (log.f32 (fma.f32 v v #s(literal 0 binary32))) (log.f32 (*.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32))))))
(fabs.f32 (-.f32 (log.f32 (neg.f32 v)) (log.f32 #s(literal -1/2 binary32))))
(fabs.f32 (-.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal -1 binary32))))
(fabs.f32 (-.f32 (log.f32 v) (log.f32 #s(literal 1/2 binary32))))
(fabs.f32 (-.f32 (log.f32 #s(literal 0 binary32)) #s(literal 0 binary32)))
(fabs.f32 (log.f32 #s(literal 0 binary32)))
(+.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 v #s(literal 3 binary32))))) (log.f32 (fma.f32 v v #s(literal 0 binary32))))
(+.f32 (cosh.f32 (.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32))) (sinh.f32 (.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32))))
(+.f32 (neg.f32 (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+.f32 (log.f32 #s(literal 0 binary32)) (log.f32 #s(literal 0 binary32)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (neg.f32 (log.f32 v)))
(+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32) (*.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32)) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32)) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32)))
(neg.f32 (log.f32 #s(literal 0 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i)))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i)))))
(/.f32 (neg.f32 (+.f32 (log.f32 #s(literal 0 binary32)) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))) (neg.f32 (neg.f32 cosTheta_i)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) (.f32 cosTheta_i (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (*.f32 cosTheta_i cosTheta_i))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 2 binary32))) (*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 0 binary32))) cosTheta_i))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 3 binary32))) (*.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 0 binary32))) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) #s(literal 2 binary32))) cosTheta_i))
(/.f32 (+.f32 (log.f32 #s(literal 0 binary32)) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (neg.f32 cosTheta_i))
(/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i)
(-.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) cosTheta_i) (/.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) cosTheta_i))
(+.f32 (/.f32 (log.f32 #s(literal 0 binary32)) cosTheta_i) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) cosTheta_i))
(neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 0 binary32))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 cosTheta_i)))

eval89.0ms (0.9%)

Memory: -15.4MiB live, 134.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 30 573 to 3 785 computations (87.6% saved)

prune34.0ms (0.3%)

Memory

-12.1MiB live, 78.2MiB allocated; 5ms collecting garbage

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	590	9	599
Fresh	2	11	13
Picked	3	2	5
Done	0	1	1
Total	595	23	618

Accuracy

99.9%

Counts

618 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f32 (exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 1/2 binary32)))) v)
	3.2%	(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
	99.7%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) (-.f32 #s(literal 6931/10000 binary32) #s(approx (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 2 binary32) v))
✓	4.6%	(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))
	44.2%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (.f32 #s(literal 2 binary32) v))) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))) (pow.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 2 binary32)))))))
	99.7%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (*.f32 (exp.f32 (+.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 #s(literal 2 binary32)))) v))
✓	99.7%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (+.f32 v v))))))
	97.8%	(/.f32 #s(approx (exp (/ (* cosTheta_O cosTheta_i) v)) #s(literal 1 binary32)) (exp.f32 #s(approx (- (/ (+ (* sinTheta_O sinTheta_i) 1) v) (- 6931/10000 (log (+ v v)))) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
	44.2%	(/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 3 binary32)) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (pow.f32 (log.f32 v) #s(literal 2 binary32)))))))
	99.3%	(/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)))) (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 v) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))))
	14.6%	(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 #s(approx (- (log v) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)) (-.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) (log.f32 v)) #s(literal 6931/10000 binary32)))))
	99.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(approx (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	44.2%	(.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 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))) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 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))) (pow.f32 (+.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32))))))
	97.5%	(.f32 (exp.f32 #s(approx (+ (- (- (/ ( cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) #s(literal 0 binary32))
	99.2%	(.f32 (exp.f32 #s(approx (+ (log (/ 1/2 v)) (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.3%	(.f32 #s(approx (exp (+ (log (/ 1/2 v)) (/ (- ( cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 #s(literal 6931/10000 binary32)))
	99.6%	(exp.f32 (+.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) (neg.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)))))
	99.3%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))
	99.2%	(exp.f32 #s(approx (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))) (.f32 (neg.f32 cosTheta_i) (neg.f32 (+.f32 #s(approx (/ (- (+ (log (/ 1/2 v)) 6931/10000) (/ (+ ( sinTheta_i sinTheta_O) 1) v)) cosTheta_i) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))) cosTheta_i)) (/.f32 cosTheta_O v))))))
✓	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
	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))) #s(approx (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (exp.f32 (/.f32 #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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 #s(literal 2 binary32) v)))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))))

Compiler

Compiled 2 720 to 931 computations (65.8% saved)

regimes118.0ms (1.2%)

Memory

-0.3MiB live, 186.2MiB allocated; 33ms collecting garbage

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

17.0ms	sinTheta_O
17.0ms	(+.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))))
15.0ms	cosTheta_i
11.0ms	cosTheta_O
11.0ms	sinTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes626.0ms (6.2%)

Memory

-107.4MiB live, 82.4MiB allocated; 1.0s collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

584.0ms	(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)))))
5.0ms	sinTheta_i
5.0ms	cosTheta_O
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	v

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes57.0ms (0.6%)

Memory

-67.7MiB live, 62.0MiB allocated; 22ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

11.0ms	sinTheta_O
3.0ms	cosTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.3%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.3%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.3%	1	`cosTheta_i`
99.3%	1	`cosTheta_O`
99.3%	1	`sinTheta_i`
99.3%	1	`sinTheta_O`
99.3%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes26.0ms (0.3%)

Memory

46.0MiB live, 46.0MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

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	sinTheta_O
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
97.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.8%	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))))`
97.8%	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)))))`
97.8%	1	`cosTheta_i`
97.8%	1	`cosTheta_O`
97.8%	1	`sinTheta_i`
97.8%	1	`sinTheta_O`
97.8%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes55.0ms (0.5%)

Memory

-49.9MiB live, 50.9MiB allocated; 15ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

26.0ms	v
12.0ms	(*.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))))
2.0ms	sinTheta_O
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
97.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
97.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.5%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
97.5%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
97.5%	1	`cosTheta_i`
97.5%	1	`cosTheta_O`
97.5%	1	`sinTheta_i`
97.5%	1	`sinTheta_O`
97.5%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes16.0ms (0.2%)

Memory

39.9MiB live, 39.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))
(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v 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 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 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 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))

Calls

9 calls:

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

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes14.0ms (0.1%)

Memory

-13.4MiB live, 32.1MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

(/.f32 (exp.f32 #s(approx (+ (+ 6931/10000 (/ (- (* cosTheta_O cosTheta_i) (+ (* sinTheta_O sinTheta_i) 1)) v)) 0) #s(literal 6931/10000 binary32))) (+.f32 v v))

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

Calls

9 calls:

4.0ms	v
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	cosTheta_O
1.0ms	sinTheta_i
1.0ms	cosTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes12.0ms (0.1%)

Memory

-14.2MiB live, 30.1MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 (exp.f32 #s(approx (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) #s(literal 6931/10000 binary32))) #s(literal 0 binary32))

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

Calls

9 calls:

3.0ms	cosTheta_i
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	cosTheta_O
1.0ms	v
1.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
3.2%	1	`sinTheta_O`
3.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
3.2%	1	`cosTheta_i`
3.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
3.2%	1	`sinTheta_i`
3.2%	1	`cosTheta_O`
3.2%	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)))))`
3.2%	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))))`
3.2%	1	`v`

Compiler

Compiled 60 to 78 computations (-30% saved)

simplify49.0ms (0.5%)

Memory

23.3MiB live, 70.0MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	194
1	155	194
2	298	192
3	706	192
4	2546	192

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations1.3s (12.4%)

Memory

23.3MiB live, 1 074.1MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	991	6749
1	3524	6603
0	8347	6228
0	66	331
0	96	311
1	458	306
2	3295	304
0	8340	304
0	21	74
0	34	62
1	137	57
2	1213	57
0	8896	55
0	297	1633
1	996	1580
2	4269	1444
0	8288	1365
0	1545	10767
1	5486	10503
0	8096	9914
0	56	359
0	88	305
1	414	302
2	3598	301
0	8253	301
0	69	424
0	103	389
1	509	362
2	3889	355
0	8678	355
0	1388	9601
1	5037	9310
0	9438	8789

Stop Event

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

Compiler

Compiled 207 to 83 computations (59.9% saved)

preprocess106.0ms (1%)

Memory

-32.6MiB live, 58.7MiB allocated; 8ms collecting garbage

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 960 to 624 computations (35% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze423.0ms (4.2%)

sample2.5s (24.6%)

explain311.0ms (3.1%)

preprocess230.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify197.0ms (1.9%)

localize77.0ms (0.8%)

series141.0ms (1.4%)

simplify149.0ms (1.5%)

rewrite222.0ms (2.2%)

eval51.0ms (0.5%)

prune12.0ms (0.1%)

simplify155.0ms (1.5%)

localize155.0ms (1.5%)

series204.0ms (2%)

simplify172.0ms (1.7%)

rewrite232.0ms (2.3%)

eval64.0ms (0.6%)

prune23.0ms (0.2%)

simplify124.0ms (1.2%)

localize158.0ms (1.6%)

series162.0ms (1.6%)

simplify205.0ms (2%)

rewrite338.0ms (3.3%)

eval108.0ms (1.1%)

prune48.0ms (0.5%)

simplify134.0ms (1.3%)

localize168.0ms (1.7%)

series493.0ms (4.9%)

simplify216.0ms (2.1%)

rewrite205.0ms (2%)

eval89.0ms (0.9%)

prune34.0ms (0.3%)

regimes118.0ms (1.2%)

regimes626.0ms (6.2%)

regimes57.0ms (0.6%)

regimes26.0ms (0.3%)

regimes55.0ms (0.5%)

regimes16.0ms (0.2%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

simplify49.0ms (0.5%)

derivations1.3s (12.4%)

preprocess106.0ms (1%)

end0.0ms (0%)

Profiling