Metrics for HairBSDF, Mp, lower

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze508.0ms (4.9%)

Memory

9.5MiB live, 680.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample3.1s (30.4%)

Memory

41.0MiB live, 3 850.9MiB allocated

Samples

2.3s	8 256×	0	valid
27.0ms	124×	0	invalid

Precisions

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

ival-mult: 567.0ms (28.5% of total)

const: 424.0ms (21.3% of total)

ival-<=: 256.0ms (12.9% of total)

ival-div: 254.0ms (12.8% of total)

ival-log: 127.0ms (6.4% of total)

ival-add: 119.0ms (6% of total)

ival-sub: 90.0ms (4.5% of total)

ival-exp: 79.0ms (4% of total)

ival-and: 54.0ms (2.7% of total)

exact: 16.0ms (0.8% of total)

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

Bogosity

explain273.0ms (2.6%)

Memory

9.4MiB live, 450.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	4	(2.0113478929378105e-17 -7.978552014395023e-25 9.666269126029178e-34 8.3432919119005e-24 3.5016555627320756e-12)	34	(0.023105498403310776 -1.1149267273302677e-12 -3.6568646540804077e-31 1.5545906575931134e-12 3.511296001890126e-26)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
85	3	(1.3595842672970793e-25 -5.281475547093398e-32 -1.619798475827262e-17 -1.4349705348130806e-27 3.250882419161827e-12)	29	(-1.6359760050810706e-20 -6.3371286997802714e-24 -7.491343191666586e-15 -1.895067687400408e-27 8.5345398639008e-17)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) 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	5	(0.0066888052970170975 -2.171651051703464e-31 -4.93536870719692e-36 9.239911797635173e-28 0.0032245672773569822)	0	-	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	8	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	95
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	6	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	76
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	5	3
`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	0
-	19	236

Precision

0.05

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	19	3	233

Precision?

0.043478260869565216

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

94.0ms

512×

valid

Compiler

Compiled 428 to 88 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 19.0ms (26.6% of total)

ival-div: 17.0ms (23.8% of total)

ival-add: 11.0ms (15.4% of total)

const: 9.0ms (12.6% of total)

ival-log: 6.0ms (8.4% of total)

ival-exp: 4.0ms (5.6% of total)

ival-sub: 4.0ms (5.6% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess157.0ms (1.5%)

Memory

25.7MiB live, 206.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 25 to 21 computations (16% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 5 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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

▶

99.5%

(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)

simplify117.0ms (1.1%)

Memory

-13.1MiB live, 196.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	64	(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
cost-diff	320	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
cost-diff	3136	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	133
0	34	125
1	63	124
2	151	124
3	471	124
4	1717	124
5	5047	124
0	8134	113

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (0.7%)

Memory

-18.1MiB live, 111.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
accuracy	0.13642991472247268	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
accuracy	7.377561402589538	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	7.525866347447079	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

63.0ms

256×

valid

Compiler

Compiled 268 to 44 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 13.0ms (39.2% of total)

ival-mult: 7.0ms (21.1% of total)

const: 4.0ms (12.1% of total)

ival-log: 3.0ms (9.1% of total)

ival-exp: 2.0ms (6% of total)

ival-add: 2.0ms (6% of total)

ival-sub: 2.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory

11.0MiB live, 129.4MiB allocated

Counts

8 → 69

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	v	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
22.0ms	v	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
7.0ms	v	@	inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
5.0ms	cosTheta_i	@	-inf	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))
3.0ms	sinTheta_O	@	0	((exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) (/ 1 (* 2 v)) (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (/ (* sinTheta_i sinTheta_O) v) (/ (* cosTheta_i cosTheta_O) v) (log (/ 1 (* 2 v))) (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)))

simplify190.0ms (1.8%)

Memory

-19.7MiB live, 166.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	1904
1	1058	1832
2	3695	1644
0	8210	1523

Stop Event

1×	iter limit
1×	node limit

Counts

69 → 69

Calls

Call 1

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

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

rewrite230.0ms (2.2%)

Memory

5.4MiB live, 333.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	89
0	34	75
1	147	68
2	1507	68
0	8245	68

Stop Event

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

Counts

8 → 654

Calls

Call 1

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

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

eval90.0ms (0.9%)

Memory: 27.7MiB live, 182.4MiB allocated
Compiler: Compiled 26 475 to 3 655 computations (86.2% saved)

prune14.0ms (0.1%)

Memory

2.1MiB live, 39.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	698	6	704
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	699	6	705

Accuracy

99.9%

Counts

705 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
▶	99.8%	(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
▶	99.4%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
▶	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
▶	15.3%	#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 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))))
▶	4.6%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))

Compiler

Compiled 382 to 280 computations (26.7% saved)

simplify108.0ms (1%)

Memory

-29.7MiB live, 129.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	421
0	71	404
1	137	385
2	329	385
3	962	381
4	3626	381
0	8219	381

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (1.6%)

Memory

-17.1MiB live, 205.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)
accuracy	0.046875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.05698716654524322	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy	0.0625	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.046875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.05698716654524322	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)))
accuracy	0.0625	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.12889523235004197	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))))
accuracy	0.05698716654524322	(exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
accuracy	0.12889523235004197	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))))
accuracy	0.6892945864448266	(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
accuracy	31.29385686626767	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
accuracy	0.0	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))
accuracy	0.0	(exp.f32 #s(literal 6931/10000 binary32))
accuracy	0.296875	(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
accuracy	30.522777196404576	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v)))
accuracy	0.031550060925979805	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
accuracy	0.046875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))
accuracy	0.0625	(-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))
accuracy	0.078125	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))

Samples

114.0ms

256×

valid

Compiler

Compiled 827 to 99 computations (88% saved)

Precisions

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

ival-mult: 33.0ms (36.5% of total)

ival-sub: 17.0ms (18.8% of total)

ival-div: 13.0ms (14.4% of total)

ival-exp: 9.0ms (10% of total)

const: 7.0ms (7.7% of total)

ival-add: 5.0ms (5.5% of total)

ival-log: 5.0ms (5.5% of total)

exact: 1.0ms (1.1% of total)

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

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

series106.0ms (1%)

Memory

35.0MiB live, 190.3MiB allocated

Counts

20 → 193

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	v	@	inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (/ -1 v) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))
8.0ms	v	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (/ -1 v) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))
7.0ms	v	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (/ -1 v) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))
6.0ms	cosTheta_i	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (/ -1 v) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))
6.0ms	cosTheta_O	@	inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (exp 6931/10000) -1/2) (exp 6931/10000) (/ -1 v) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (/ 1/2 v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) (* (* (exp 6931/10000) -1/2) (/ -1 v)) (+ (* sinTheta_O sinTheta_i) 1) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))

simplify163.0ms (1.6%)

Memory

4.4MiB live, 233.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	985	6375
1	3165	6116
0	8194	5706

Stop Event

1×	iter limit
1×	node limit

Counts

193 → 193

Calls

Call 1

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

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

rewrite192.0ms (1.9%)

Memory

-27.0MiB live, 298.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	258
0	71	238
1	328	229
2	2882	229
0	8301	229

Stop Event

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

Counts

20 → 770

Calls

Call 1

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

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

eval208.0ms (2%)

Memory: 28.6MiB live, 298.6MiB allocated
Compiler: Compiled 59 428 to 5 033 computations (91.5% saved)

prune43.0ms (0.4%)

Memory

13.2MiB live, 89.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1 596	9	1 605
Fresh	0	1	1
Picked	5	0	5
Done	0	0	0
Total	1 601	10	1 611

Accuracy

99.9%

Counts

1 611 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
▶	4.6%	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
▶	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v)) (log.f32 (.f32 #s(literal 2 binary32) v))))
▶	98.8%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
▶	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	12.5%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
	99.4%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
▶	99.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O)))))

Compiler

Compiled 676 to 508 computations (24.9% saved)

simplify205.0ms (2%)

Memory

-12.8MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O))))
cost-diff	0	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O)))))
cost-diff	256	(-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v))
cost-diff	864	(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O)
cost-diff	0	(-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O))
cost-diff	0	(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)
cost-diff	0	#s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))
cost-diff	0	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
cost-diff	0	(*.f32 #s(literal 2 binary32) v)
cost-diff	0	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
cost-diff	0	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32)))
cost-diff	0	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff	0	#s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
cost-diff	0	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
cost-diff	0	(/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
cost-diff	0	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v)) (log.f32 (.f32 #s(literal 2 binary32) v)))
cost-diff	2944	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v)) (log.f32 (.f32 #s(literal 2 binary32) v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	531
0	96	529
1	178	510
2	367	502
3	954	492
4	2932	472
5	7082	472
0	8179	462

Stop Event

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

Calls

Call 1

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

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

localize305.0ms (3%)

Memory

-37.5MiB live, 130.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12889523235004197	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O))))
accuracy	0.1679687513436143	(-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v))
accuracy	0.36328125	(/.f32 #s(literal 6931/10000 binary32) sinTheta_O)
accuracy	14.50374947224464	(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O)
accuracy	0.0078125	(/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)
accuracy	0.031550060925979805	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
accuracy	0.20493045792320105	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
accuracy	2.2598682119718103	#s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))
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)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
accuracy	0.05698716654524322	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32)))
accuracy	31.293856856680414	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
accuracy	0.0	(*.f32 cosTheta_i cosTheta_O)
accuracy	0.031550060925979805	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
accuracy	7.377561402589538	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy	30.308064383877102	#s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
accuracy	0.031550060925979805	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v)) (log.f32 (.f32 #s(literal 2 binary32) v))))
accuracy	0.046875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
accuracy	0.0518825391677947	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
accuracy	0.078125	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v)) (log.f32 (.f32 #s(literal 2 binary32) v)))

Samples

198.0ms

256×

valid

Compiler

Compiled 916 to 126 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-div: 85.0ms (59.2% of total)

ival-sub: 24.0ms (16.7% of total)

ival-mult: 11.0ms (7.7% of total)

ival-exp: 7.0ms (4.9% of total)

ival-add: 6.0ms (4.2% of total)

ival-log: 5.0ms (3.5% of total)

const: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series103.0ms (1%)

Memory

18.0MiB live, 61.6MiB allocated

Counts

23 → 186

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
49.0ms	sinTheta_O	@	inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* 2 v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (* (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) sinTheta_O) (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (/ 6931/10000 sinTheta_O))
4.0ms	v	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* 2 v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (* (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) sinTheta_O) (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (/ 6931/10000 sinTheta_O))
4.0ms	sinTheta_O	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* 2 v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (* (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) sinTheta_O) (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (/ 6931/10000 sinTheta_O))
4.0ms	sinTheta_i	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* 2 v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (* (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) sinTheta_O) (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (/ 6931/10000 sinTheta_O))
4.0ms	sinTheta_O	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (* cosTheta_i cosTheta_O) v) (* cosTheta_i cosTheta_O) (/ (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (* 2 v)) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (* 2 v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (* (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) sinTheta_O) (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* cosTheta_i cosTheta_O) -1) (/ 6931/10000 sinTheta_O))

simplify201.0ms (2%)

Memory

5.1MiB live, 82.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	943	6108
1	3009	5820
0	8527	5432

Stop Event

1×	iter limit
1×	node limit

Counts

186 → 186

Calls

Call 1

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

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

rewrite465.0ms (4.5%)

Memory

-18.6MiB live, 63.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	413
0	96	407
1	485	390
2	4631	390
0	9410	388

Stop Event

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

Counts

23 → 460

Calls

Call 1

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

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

eval89.0ms (0.9%)

Memory: 6.5MiB live, 81.1MiB allocated
Compiler: Compiled 30 986 to 3 205 computations (89.7% saved)

prune40.0ms (0.4%)

Memory

-0.3MiB live, 39.1MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	636	7	643
Fresh	0	5	5
Picked	2	3	5
Done	0	0	0
Total	638	15	653

Accuracy

99.9%

Counts

653 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
	99.5%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
✓	4.6%	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
▶	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
▶	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
✓	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v)) (log.f32 (.f32 #s(literal 2 binary32) v))))
	98.8%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
✓	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
▶	12.5%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v)))
	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	12.5%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
▶	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
	99.4%	#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(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O))) #s(literal 1/2 binary32)) v))
▶	99.4%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	99.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 #s(approx (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v))) sinTheta_O)))))

Compiler

Compiled 1 080 to 748 computations (30.7% saved)

simplify167.0ms (1.6%)

Memory

25.4MiB live, 68.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	455
0	86	453
1	163	434
2	322	426
3	818	426
4	2551	426
5	6701	426
0	8065	422

Stop Event

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

Calls

Call 1

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

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

localize697.0ms (6.8%)

Memory

-6.1MiB live, 153.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
accuracy	0.05698716654524322	(exp.f32 #s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
accuracy	0.10547483999982853	#s(approx (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
accuracy	0.12889523235004197	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
accuracy	0.0078125	(/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v)
accuracy	0.031550060925979805	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v)))
accuracy	2.2598682119718103	#s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v))
accuracy	29.890692159501167	#s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O))
accuracy	0.0	(/.f32 #s(literal 1/2 binary32) v)
accuracy	0.05698716654524322	(exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32)))
accuracy	0.12889523235004197	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
accuracy	31.293856856680414	#s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))
accuracy	0.0	(/.f32 cosTheta_i v)
accuracy	0.031550060925979805	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
accuracy	0.25	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
accuracy	30.308064383877102	#s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
accuracy	0.046875	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
accuracy	0.078125	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v)))
accuracy	0.09480301070191874	#s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))
accuracy	0.20493045792320105	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))

Samples

671.0ms

256×

valid

Compiler

Compiled 793 to 120 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 516.0ms

ival-neg: 240.0ms (46.5% of total)

ival-mult: 230.0ms (44.6% of total)

ival-div: 14.0ms (2.7% of total)

ival-sub: 8.0ms (1.6% of total)

ival-exp: 7.0ms (1.4% of total)

ival-add: 7.0ms (1.4% of total)

ival-log: 5.0ms (1% of total)

const: 4.0ms (0.8% of total)

exact: 1.0ms (0.2% of total)

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

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

series336.0ms (3.3%)

Memory

-19.0MiB live, 98.1MiB allocated

Counts

23 → 183

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
245.0ms	cosTheta_i	@	inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (+ (* cosTheta_i cosTheta_O) -1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)))
26.0ms	v	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (+ (* cosTheta_i cosTheta_O) -1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)))
21.0ms	sinTheta_i	@	-inf	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (+ (* cosTheta_i cosTheta_O) -1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)))
4.0ms	v	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (+ (* cosTheta_i cosTheta_O) -1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)))
3.0ms	cosTheta_i	@	0	((exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (* cosTheta_O (/ cosTheta_i v)) (/ cosTheta_i v) (* (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)))) (/ 1/2 v) (exp (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v))) (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (exp (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v)))) (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/ (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) v) (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (* (/ 1/2 v) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000))) (exp (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000)) (+ (* cosTheta_i cosTheta_O) -1) (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (+ (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (- 6931/10000 (/ 1 v)))

simplify241.0ms (2.3%)

Memory

26.9MiB live, 299.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	964	6289
1	3081	6028
0	8815	5620

Stop Event

1×	iter limit
1×	node limit

Counts

183 → 183

Calls

Call 1

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

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

rewrite206.0ms (2%)

Memory

-1.3MiB live, 323.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	417
0	86	411
1	418	392
2	3631	392
0	9643	388

Stop Event

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

Counts

23 → 342

Calls

Call 1

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

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

eval62.0ms (0.6%)

Memory: -3.4MiB live, 155.9MiB allocated
Compiler: Compiled 24 372 to 2 439 computations (90% saved)

prune28.0ms (0.3%)

Memory

-12.1MiB live, 70.6MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	543	2	545
Fresh	0	7	7
Picked	1	4	5
Done	1	2	3
Total	545	15	560

Accuracy

99.9%

Counts

560 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
	99.5%	(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
✓	4.6%	(/.f32 (exp.f32 #s(approx (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
✓	4.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) #s(literal 6931/10000 binary32))))
	99.9%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
	98.8%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
✓	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
✓	12.5%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v)))
	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
	12.5%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
✓	12.4%	(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
	99.4%	#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(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v)) sinTheta_O))) #s(literal 1/2 binary32)) v))
✓	99.4%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	99.0%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (*.f32 #s(approx (- (- (/ 6931/10000 sinTheta_O) (/ sinTheta_i v)) (/ (/ 1 sinTheta_O) v)) (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v))) sinTheta_O)))))
	98.5%	#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) #s(approx (- 6931/10000 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))

Compiler

Compiled 1 501 to 607 computations (59.6% saved)

regimes75.0ms (0.7%)

Memory

-11.7MiB live, 146.8MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

11.0ms	cosTheta_i
10.0ms	(*.f32 cosTheta_i cosTheta_O)
9.0ms	sinTheta_i
9.0ms	v
7.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes56.0ms (0.5%)

Memory

20.8MiB live, 137.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

9 calls:

9.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
8.0ms	sinTheta_O
7.0ms	cosTheta_i
6.0ms	cosTheta_O
5.0ms	sinTheta_i

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes45.0ms (0.4%)

Memory

6.3MiB live, 130.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`cosTheta_i`
99.4%	1	`cosTheta_O`
99.4%	1	`sinTheta_i`
99.4%	1	`sinTheta_O`
99.4%	1	`v`
99.4%	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)))))`
99.4%	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))))`
99.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.4%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes37.0ms (0.4%)

Memory

-29.8MiB live, 89.7MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

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

Results

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

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes25.0ms (0.2%)

Memory

30.8MiB live, 69.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) 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	cosTheta_O
3.0ms	v
3.0ms	cosTheta_i
3.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
12.5%	1	`cosTheta_O`
12.5%	1	`sinTheta_i`
12.5%	1	`v`
12.5%	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)))))`
12.5%	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))))`
17.3%	2	`(*.f32 cosTheta_i cosTheta_O)`
17.2%	2	`(*.f32 sinTheta_i sinTheta_O)`
16.0%	2	`cosTheta_i`
12.5%	1	`sinTheta_O`

Compiler

Compiled 60 to 78 computations (-30% saved)

regimes3.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
17.3%	2	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 3 to 6 computations (-100% saved)

regimes22.0ms (0.2%)

Memory

-21.2MiB live, 58.9MiB allocated

Accuracy

Total -2.5b remaining (-8.9%)

Threshold costs -2.5b (-8.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

9 calls:

4.0ms	sinTheta_O
3.0ms	(*.f32 cosTheta_i cosTheta_O)
2.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	cosTheta_O
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
12.4%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
12.4%	1	`cosTheta_O`
12.4%	1	`sinTheta_O`
12.4%	1	`v`
12.4%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
12.4%	1	`sinTheta_i`
12.4%	1	`cosTheta_i`
12.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
12.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 60 to 78 computations (-30% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8084119561298803e-29	-1.6604684877229598e-29

Compiler

Compiled 28 to 29 computations (-3.6% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8084119561298803e-29	-1.6604684877229598e-29

Compiler

Compiled 28 to 29 computations (-3.6% saved)

simplify27.0ms (0.3%)

Memory

-11.5MiB live, 66.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	275
1	121	275
2	149	275
3	173	275
4	181	275
5	183	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2990763/166153499473114484112975882535043072 binary32)) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2990763/166153499473114484112975882535043072 binary32)) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))

Outputs
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(exp.f32 (-.f32 (+.f32 (/.f32 #s(approx (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 #s(literal 2 binary32) v))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
#s(approx (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))) (.f32 (exp.f32 #s(approx (+ ( (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)) 6931/10000) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (-.f32 #s(approx (+ (* cosTheta_i cosTheta_O) -1) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2990763/166153499473114484112975882535043072 binary32)) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 #s(approx (- (+ (* cosTheta_i cosTheta_O) -1) (* sinTheta_i sinTheta_O)) (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) v))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2990763/166153499473114484112975882535043072 binary32)) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -2990763/166153499473114484112975882535043072 binary32)) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))) (exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- ( cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O))))
(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(exp.f32 #s(approx (- (+ 6931/10000 (/ (- (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) 1) v)) (log (* 2 v))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))

soundness943.0ms (9.2%)

Memory

45.3MiB live, 1 022.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	985	6375
1	3165	6116
0	8194	5706
0	68	413
0	96	407
1	485	390
2	4631	390
0	9410	388
0	943	6108
1	3009	5820
0	8527	5432
0	329	1904
1	1058	1832
2	3695	1644
0	8210	1523
0	21	89
0	34	75
1	147	68
2	1507	68
0	8245	68
0	964	6289
1	3081	6028
0	8815	5620

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

Compiler

Compiled 609 to 406 computations (33.3% saved)

preprocess71.0ms (0.7%)

Memory

-3.3MiB live, 116.3MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1 140 to 700 computations (38.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze508.0ms (4.9%)

sample3.1s (30.4%)

explain273.0ms (2.6%)

preprocess157.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify117.0ms (1.1%)

localize75.0ms (0.7%)

series82.0ms (0.8%)

simplify190.0ms (1.8%)

rewrite230.0ms (2.2%)

eval90.0ms (0.9%)

prune14.0ms (0.1%)

simplify108.0ms (1%)

localize164.0ms (1.6%)

series106.0ms (1%)

simplify163.0ms (1.6%)

rewrite192.0ms (1.9%)

eval208.0ms (2%)

prune43.0ms (0.4%)

simplify205.0ms (2%)

localize305.0ms (3%)

series103.0ms (1%)

simplify201.0ms (2%)

rewrite465.0ms (4.5%)

eval89.0ms (0.9%)

prune40.0ms (0.4%)

simplify167.0ms (1.6%)

localize697.0ms (6.8%)

series336.0ms (3.3%)

simplify241.0ms (2.3%)

rewrite206.0ms (2%)

eval62.0ms (0.6%)

prune28.0ms (0.3%)

regimes75.0ms (0.7%)

regimes56.0ms (0.5%)

regimes45.0ms (0.4%)

regimes37.0ms (0.4%)

regimes25.0ms (0.2%)

regimes3.0ms (0%)

regimes22.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify27.0ms (0.3%)

soundness943.0ms (9.2%)

preprocess71.0ms (0.7%)

end0.0ms (0%)

Profiling