Metrics for HairBSDF, Mp, lower

analyze401.0ms (3.5%)

Memory

38.2MiB live, 663.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.6s (22.7%)

Memory

57.3MiB live, 3 894.0MiB allocated

Samples

2.0s	8 256×	0	valid
25.0ms	128×	0	invalid

Precisions

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

const: 426.0ms (25.9% of total)

ival-div: 270.0ms (16.4% of total)

ival-<=: 263.0ms (16% of total)

ival-mult: 244.0ms (14.8% of total)

ival-add: 112.0ms (6.8% of total)

ival-log: 104.0ms (6.3% of total)

ival-exp: 83.0ms (5% of total)

ival-sub: 71.0ms (4.3% of total)

ival-and: 53.0ms (3.2% of total)

exact: 16.0ms (1% of total)

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

Bogosity

preprocess314.0ms (2.7%)

Memory

36.6MiB live, 419.7MiB allocated

Algorithm

1×	egg-herbie

Rules

6 404×	`lower-fma.f64`
6 404×	`lower-fma.f32`
3 478×	`lower-*.f64`
3 472×	`lower-*.f32`
1 904×	`lower-/.f64`

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)))))

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

Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain293.0ms (2.6%)

Memory

-6.2MiB live, 593.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	2	(-3.193022426144242e-29 1.7956483773429457e-31 -0.0001894201268441975 -3.7203712333067074e-11 4.048042029212344e-15)	35	(-1.520885462014121e-8 -9.716036933791635e-36 9.413933172683064e-38 8.172471660130009e-17 3.4069833620975487e-9)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
93	6	(-0.06810857355594635 8.61758106822548e-15 -4.6396110731615276e-27 -1.849629992594458e-27 6.007168096289206e-10)	40	(-6.106228753020729e-16 -8.185517883878948e-32 3.7647767996678154e-28 1.5234370629846323e-16 4.0545813857814017e-19)	`(/.f32 (*.f32 sinTheta_i sinTheta_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	6	(-2.6036275290728973e-23 -1.1563585757102233e-27 -0.0006196200847625732 9.258641535677817e-25 0.005434881430119276)	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	7	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	79
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	6	4
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	6	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	91
`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
-	18	237

Precision

0.05263157894736842

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	18	4	233

Precision?

0.043478260869565216

Recall?

1.0

Freqs

test

number	freq
0	237
1	18
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

89.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 16.0ms (24.8% of total)

const: 15.0ms (23.2% of total)

ival-div: 14.0ms (21.7% of total)

ival-log: 6.0ms (9.3% of total)

ival-exp: 4.0ms (6.2% of total)

ival-add: 4.0ms (6.2% of total)

ival-sub: 4.0ms (6.2% of total)

ival-true: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(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

▶

99.3%

(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 30 to 21 computations (30% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize76.0ms (0.7%)

Memory

1.5MiB live, 158.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	accuracy	99.6%	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓	accuracy	77.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	73.5%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

47.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-log: 11.0ms (31.3% of total)

ival-div: 7.0ms (19.9% of total)

ival-mult: 5.0ms (14.2% of total)

ival-sub: 4.0ms (11.4% of total)

const: 4.0ms (11.4% of total)

ival-exp: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.7%)

Memory

11.1MiB live, 166.7MiB allocated

Counts

4 → 144

Calls

Call 1

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

Calls

36 calls:

Time	Variable		Point	Expression
28.0ms	v	@	0	(log (/ 1 (* 2 v)))
20.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
13.0ms	v	@	inf	(log (/ 1 (* 2 v)))
2.0ms	v	@	0	(/ (* cosTheta_i cosTheta_O) v)
1.0ms	sinTheta_i	@	0	(/ (* sinTheta_i sinTheta_O) v)

rewrite425.0ms (3.7%)

Memory

-23.8MiB live, 756.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
4 860×	`lower-/.f64`
4 852×	`lower-/.f32`
3 374×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	41
0	34	35
1	147	32
2	1507	32
0	8189	32

Stop Event

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

Counts

4 → 137

Calls

Call 1

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

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

simplify438.0ms (3.8%)

Memory

-24.2MiB live, 498.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 482×	`lower-fma.f64`
8 482×	`lower-fma.f32`
7 282×	`lower-*.f64`
7 282×	`lower-*.f32`
3 012×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	2582
1	557	2542
2	2007	2257
3	6826	2143
0	8352	2027

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval48.0ms (0.4%)

Memory: 9.2MiB live, 45.5MiB allocated
Compiler: Compiled 7 812 to 952 computations (87.8% saved)

prune66.0ms (0.6%)

Memory

-11.8MiB live, 68.6MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	269	12	281
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	270	12	282

Accuracy

99.8%

Counts

282 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
▶	4.7%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
	99.2%	(/.f32 (exp.f32 (/.f32 (.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 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
▶	99.7%	(/.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 v #s(literal 2 binary32)))
	87.6%	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
▶	99.6%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
▶	99.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
	88.7%	(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))))
	4.7%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))
	99.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
	99.6%	(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	99.7%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))

Compiler

Compiled 682 to 430 computations (37% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize215.0ms (1.9%)

Memory

15.0MiB live, 209.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	accuracy	77.3%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	99.9%	(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.8%	(-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
✓	accuracy	99.7%	(exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
✓	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	99.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.0%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
✓	accuracy	99.9%	(/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
✓	accuracy	99.9%	(+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.7%	(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)))

Samples

128.0ms

256×

valid

Compiler

Compiled 386 to 45 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 35.0ms (38.6% of total)

ival-exp: 20.0ms (22% of total)

ival-div: 12.0ms (13.2% of total)

ival-mult: 12.0ms (13.2% of total)

const: 4.0ms (4.4% of total)

ival-sub: 3.0ms (3.3% of total)

ival-log: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series98.0ms (0.9%)

Memory

13.3MiB live, 174.0MiB allocated

Counts

17 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
20.0ms	v	@	inf	(* (/ 1/2 v) (exp (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v))))
11.0ms	cosTheta_i	@	0	(- (log (* v 2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))
3.0ms	v	@	-inf	(- (log (* v 2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))
2.0ms	v	@	0	(- (log (* v 2)) (+ (/ (+ (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) -1) v) 6931/10000))
2.0ms	v	@	-inf	(+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v))

rewrite352.0ms (3.1%)

Memory

15.0MiB live, 679.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 654×	`lower-/.f64`
4 642×	`lower-/.f32`
4 516×	`lower-*.f64`
4 502×	`lower-*.f32`
3 580×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	165
0	65	165
1	250	159
2	1752	159
0	8545	159

Stop Event

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

Counts

17 → 489

Calls

Call 1

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

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

simplify669.0ms (5.8%)

Memory

-166.9MiB live, 879.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 256×	`lower-*.f64`
8 256×	`lower-*.f32`
8 156×	`lower-fma.f64`
8 156×	`lower-fma.f32`
4 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	862	11278
1	2771	10956
0	8315	10258

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

eval182.0ms (1.6%)

Memory: 4.8MiB live, 401.3MiB allocated
Compiler: Compiled 51 974 to 3 663 computations (93% saved)

prune180.0ms (1.6%)

Memory

-4.6MiB live, 388.6MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 589	13	1 602
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	1 598	16	1 614

Accuracy

99.8%

Counts

1 614 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
✓	4.7%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
	87.6%	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	4.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
▶	99.6%	(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))))))
	13.6%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
▶	15.1%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) v)))
	99.6%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	79.0%	(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v))))))))
	99.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))
▶	99.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
▶	4.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	99.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
	99.6%	(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))

Compiler

Compiled 647 to 480 computations (25.8% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize157.0ms (1.4%)

Memory

2.1MiB live, 170.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)
✓	accuracy	99.9%	(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.8%	(-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32)))
✓	accuracy	99.7%	(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))))
✓	accuracy	100.0%	(neg.f32 sinTheta_O)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
✓	accuracy	99.8%	(fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.7%	(exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(neg.f32 cosTheta_i)
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) v)))
✓	accuracy	99.7%	(exp.f32 (/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) v))
✓	accuracy	73.6%	(/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	98.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)
✓	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))

Samples

87.0ms	247×	0	valid
3.0ms	9×	0	exit

Compiler

Compiled 306 to 44 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 29.0ms (42.5% of total)

ival-div: 13.0ms (19% of total)

ival-exp: 10.0ms (14.7% of total)

ival-add: 5.0ms (7.3% of total)

const: 4.0ms (5.9% of total)

ival-log: 3.0ms (4.4% of total)

ival-sub: 2.0ms (2.9% of total)

ival-neg: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

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

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

series57.0ms (0.5%)

Memory

9.4MiB live, 83.5MiB allocated

Counts

19 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
10.0ms	v	@	inf	(+ (* (+ (* sinTheta_i (neg sinTheta_O)) -1) (/ 1 v)) 6931/10000)
2.0ms	cosTheta_O	@	0	(/ (+ (* cosTheta_i cosTheta_O) (+ (* sinTheta_i (neg sinTheta_O)) -1)) v)
1.0ms	cosTheta_i	@	0	(- (log 2) (+ (/ (+ (* cosTheta_i cosTheta_O) (+ (* sinTheta_i (neg sinTheta_O)) -1)) v) 6931/10000))
1.0ms	cosTheta_O	@	0	(- (log 2) (+ (/ (+ (* cosTheta_i cosTheta_O) (+ (* sinTheta_i (neg sinTheta_O)) -1)) v) 6931/10000))
1.0ms	sinTheta_i	@	0	(- (log 2) (+ (/ (+ (* cosTheta_i cosTheta_O) (+ (* sinTheta_i (neg sinTheta_O)) -1)) v) 6931/10000))

rewrite339.0ms (3%)

Memory

7.4MiB live, 597.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 408×	`lower-fma.f64`
5 400×	`lower-fma.f32`
4 242×	`lower-*.f64`
4 234×	`lower-*.f32`
4 214×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	162
0	66	155
1	238	152
2	1786	152
0	8556	152

Stop Event

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

Counts

19 → 646

Calls

Call 1

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

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

simplify545.0ms (4.8%)

Memory

-15.9MiB live, 775.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 618×	`lower-fma.f64`
9 618×	`lower-fma.f32`
7 478×	`lower-*.f64`
7 478×	`lower-*.f32`
3 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	764	10340
1	2443	9568
0	8475	9042

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

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

eval449.0ms (3.9%)

Memory: -3.4MiB live, 259.5MiB allocated
Compiler: Compiled 32 277 to 3 465 computations (89.3% saved)

prune206.0ms (1.8%)

Memory

-18.6MiB live, 192.5MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 333	14	1 347
Fresh	5	5	10
Picked	3	2	5
Done	1	0	1
Total	1 342	21	1 363

Accuracy

99.8%

Counts

1 363 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	99.2%	(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))) v)
✓	99.7%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
	8.7%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) #s(literal 1 binary32)))
▶	27.4%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
	13.8%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_i)) (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
	6.7%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
	10.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal -1/6 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal 1/2 binary32)))) (neg.f32 v))) v)))
	9.2%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 cosTheta_i v)))) (.f32 cosTheta_O cosTheta_i)) v)))
	99.3%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v))) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)))))))
	99.6%	(/.f32 #s(literal 1 binary32) (.f32 v (exp.f32 (/.f32 (fma.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32)) (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i))) v))))
▶	99.6%	(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
	13.6%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	79.0%	(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v))))))))
✓	99.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.3%	(.f32 (exp.f32 (.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
▶	99.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
▶	15.1%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.6%	(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1 058 to 656 computations (38% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize202.0ms (1.8%)

Memory

20.0MiB live, 176.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
✓	accuracy	99.9%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	accuracy	99.8%	(-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	99.7%	(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.8%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	73.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
✓	accuracy	96.6%	(fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32))
✓	accuracy	93.1%	(fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (neg.f32 v)))
✓	accuracy	59.2%	(/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v))
✓	accuracy	99.9%	(/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
✓	accuracy	99.9%	(-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.8%	(-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (*.f32 v #s(literal 2 binary32))))
✓	accuracy	99.7%	(exp.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))

Samples

140.0ms

256×

valid

Compiler

Compiled 294 to 46 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 66.0ms (54.6% of total)

ival-div: 27.0ms (22.4% of total)

ival-exp: 8.0ms (6.6% of total)

ival-add: 5.0ms (4.1% of total)

ival-log: 5.0ms (4.1% of total)

ival-sub: 4.0ms (3.3% of total)

const: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series84.0ms (0.7%)

Memory

-3.6MiB live, 72.2MiB allocated

Counts

15 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
31.0ms	v	@	inf	(exp (- (log 2) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))))
21.0ms	cosTheta_i	@	inf	(+ (* (/ (* cosTheta_i cosTheta_i) (* v v)) (* 1/2 cosTheta_O)) (/ cosTheta_i (neg v)))
1.0ms	cosTheta_O	@	0	(+ (* (/ (* cosTheta_i cosTheta_i) (* v v)) (* 1/2 cosTheta_O)) (/ cosTheta_i (neg v)))
1.0ms	cosTheta_i	@	0	(/ (* cosTheta_i cosTheta_i) (* v v))
1.0ms	cosTheta_i	@	0	(+ (* (/ (* cosTheta_i cosTheta_i) (* v v)) (* 1/2 cosTheta_O)) (/ cosTheta_i (neg v)))

rewrite358.0ms (3.1%)

Memory

-0.3MiB live, 753.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 914×	`lower-*.f64`
5 900×	`lower-*.f32`
4 948×	`lower-/.f64`
4 936×	`lower-/.f32`
3 526×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	162
0	67	162
1	268	149
2	2113	149
0	9740	149

Stop Event

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

Counts

15 → 799

Calls

Call 1

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

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

simplify404.0ms (3.5%)

Memory

19.0MiB live, 812.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 812×	`lower-fma.f64`
10 812×	`lower-fma.f32`
7 624×	`lower-*.f64`
7 624×	`lower-*.f32`
3 776×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	844	9340
1	2748	8860
0	8791	8438

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

Inputs
(exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(+ (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (/ (* cosTheta_O (* cosTheta_i (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) v))
(+ (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 2))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))
(+ (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))) (/ (* cosTheta_O (exp (neg (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
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(* cosTheta_i (+ (* -1 (/ (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))))
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(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i)))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i)))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O)))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ 1 v))) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ 1 v))) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (+ (log (* 2 v)) (/ 1 v))) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(/ (- (+ (* -1 (* v (+ (log 2) (log v)))) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(* -1 (+ (log 2) (* -1 (log (/ 1 v)))))
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(* -1 (+ (log -2) (* -1 (log (/ -1 v)))))
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(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
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(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
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(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O 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 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
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(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
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(/ (pow cosTheta_i 2) (pow v 2))
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(/ (pow cosTheta_i 2) (pow v 2))
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(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
(/ (pow cosTheta_i 2) (pow v 2))
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(* cosTheta_i (- (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (/ 1 v)))
(* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))
(* (pow cosTheta_i 2) (- (* 1/2 (/ cosTheta_O (pow v 2))) (/ 1 (* cosTheta_i v))))
(* (pow cosTheta_i 2) (- (* 1/2 (/ cosTheta_O (pow v 2))) (/ 1 (* cosTheta_i v))))
(* (pow cosTheta_i 2) (- (* 1/2 (/ cosTheta_O (pow v 2))) (/ 1 (* cosTheta_i v))))
(* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))
(* (pow cosTheta_i 2) (- (* 1/2 (/ cosTheta_O (pow v 2))) (/ 1 (* cosTheta_i v))))
(* (pow cosTheta_i 2) (- (* 1/2 (/ cosTheta_O (pow v 2))) (/ 1 (* cosTheta_i v))))
(* (pow cosTheta_i 2) (- (* 1/2 (/ cosTheta_O (pow v 2))) (/ 1 (* cosTheta_i v))))
(* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))
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(/ (+ (* -1 cosTheta_i) (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) v))) v)
(/ (+ (* -1 cosTheta_i) (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) v))) v)
(* -1 (/ cosTheta_i v))
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(* -1 (/ (+ cosTheta_i (* -1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) v))) v))
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(* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
(* cosTheta_O (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (pow v 2))) (/ cosTheta_i (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (pow v 2))) (/ cosTheta_i (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (pow v 2))) (/ cosTheta_i (* cosTheta_O v)))))
1
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(* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2)))
(* (pow cosTheta_O 2) (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (+ (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))) (/ 1 (pow cosTheta_O 2)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (+ (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))) (/ 1 (pow cosTheta_O 2)))))
(* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2)))
(* (pow cosTheta_O 2) (+ (* -1 (/ cosTheta_i (* cosTheta_O v))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (- (/ cosTheta_i v) (/ 1 cosTheta_O)) cosTheta_O)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (- (/ cosTheta_i v) (/ 1 cosTheta_O)) cosTheta_O)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))
1
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(* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2)))
(* (pow cosTheta_i 2) (+ (* -1 (/ cosTheta_O (* cosTheta_i v))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ cosTheta_O (* cosTheta_i v))) (+ (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))) (/ 1 (pow cosTheta_i 2)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ cosTheta_O (* cosTheta_i v))) (+ (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))) (/ 1 (pow cosTheta_i 2)))))
(* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2)))
(* (pow cosTheta_i 2) (+ (* -1 (/ cosTheta_O (* cosTheta_i v))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (- (/ cosTheta_O v) (/ 1 cosTheta_i)) cosTheta_i)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (- (/ cosTheta_O v) (/ 1 cosTheta_i)) cosTheta_i)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))
(* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (pow v 2))
(/ (+ (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (* v (+ v (* -1 (* cosTheta_O cosTheta_i))))) (pow v 2))
(/ (+ (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (* v (+ v (* -1 (* cosTheta_O cosTheta_i))))) (pow v 2))
1
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1
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1
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(+ 1 (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* 1/2 (/ (pow cosTheta_i 3) (pow v 3))) (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (pow v 2))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) v)))) (+ (* -1 (/ (pow cosTheta_i 2) (pow v 2))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))) (* -1 (/ cosTheta_i v)))))
(* 2 (/ (pow v 2) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(/ (+ (* 2 (/ (pow v 2) (pow cosTheta_i 2))) (* 4 (/ (pow v 3) (* cosTheta_O (pow cosTheta_i 3))))) (pow cosTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -8 (/ (pow v 4) (pow cosTheta_i 4))) (* 4 (/ (pow v 4) (pow cosTheta_i 4)))) (pow cosTheta_O 2))) (* 2 (/ (pow v 2) (pow cosTheta_i 2)))) (* -4 (/ (pow v 3) (* cosTheta_O (pow cosTheta_i 3))))) (pow cosTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* 2 (/ (* v (+ (* -8 (/ (pow v 4) (pow cosTheta_i 4))) (* 4 (/ (pow v 4) (pow cosTheta_i 4))))) cosTheta_i)) (* 8 (/ (pow v 5) (pow cosTheta_i 5)))) (pow cosTheta_O 3))) (* 2 (/ (pow v 2) (pow cosTheta_i 2)))) (+ (* -8 (/ (pow v 4) (* (pow cosTheta_O 2) (pow cosTheta_i 4)))) (+ (* -4 (/ (pow v 3) (* cosTheta_O (pow cosTheta_i 3)))) (* 4 (/ (pow v 4) (* (pow cosTheta_O 2) (pow cosTheta_i 4))))))) (pow cosTheta_O 2))
(* 2 (/ (pow v 2) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(/ (+ (* 2 (/ (pow v 2) (pow cosTheta_i 2))) (* 4 (/ (pow v 3) (* cosTheta_O (pow cosTheta_i 3))))) (pow cosTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow v 4) (* cosTheta_O (pow cosTheta_i 4)))) (* 4 (/ (pow v 4) (* cosTheta_O (pow cosTheta_i 4))))) (* 4 (/ (pow v 3) (pow cosTheta_i 3)))) cosTheta_O)) (* 2 (/ (pow v 2) (pow cosTheta_i 2)))) (pow cosTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow v 5) (* cosTheta_O (pow cosTheta_i 5)))) (* -2 (/ (* v (+ (* -8 (/ (pow v 4) (pow cosTheta_i 4))) (* 4 (/ (pow v 4) (pow cosTheta_i 4))))) (* cosTheta_O cosTheta_i)))) (+ (* -8 (/ (pow v 4) (pow cosTheta_i 4))) (* 4 (/ (pow v 4) (pow cosTheta_i 4))))) cosTheta_O)) (* 4 (/ (pow v 3) (pow cosTheta_i 3)))) cosTheta_O)) (* 2 (/ (pow v 2) (pow cosTheta_i 2)))) (pow cosTheta_O 2))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (pow v 2))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))) (* -1 (/ cosTheta_O v)))))
(+ 1 (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* 1/2 (/ (pow cosTheta_O 3) (pow v 3))) (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (pow v 2))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) v)))) (+ (* -1 (/ (pow cosTheta_O 2) (pow v 2))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))) (* -1 (/ cosTheta_O v)))))
(* 2 (/ (pow v 2) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(/ (+ (* 2 (/ (pow v 2) (pow cosTheta_O 2))) (* 4 (/ (pow v 3) (* (pow cosTheta_O 3) cosTheta_i)))) (pow cosTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -8 (/ (pow v 4) (pow cosTheta_O 4))) (* 4 (/ (pow v 4) (pow cosTheta_O 4)))) (pow cosTheta_i 2))) (* 2 (/ (pow v 2) (pow cosTheta_O 2)))) (* -4 (/ (pow v 3) (* (pow cosTheta_O 3) cosTheta_i)))) (pow cosTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* 2 (/ (* v (+ (* -8 (/ (pow v 4) (pow cosTheta_O 4))) (* 4 (/ (pow v 4) (pow cosTheta_O 4))))) cosTheta_O)) (* 8 (/ (pow v 5) (pow cosTheta_O 5)))) (pow cosTheta_i 3))) (* 2 (/ (pow v 2) (pow cosTheta_O 2)))) (+ (* -8 (/ (pow v 4) (* (pow cosTheta_O 4) (pow cosTheta_i 2)))) (+ (* -4 (/ (pow v 3) (* (pow cosTheta_O 3) cosTheta_i))) (* 4 (/ (pow v 4) (* (pow cosTheta_O 4) (pow cosTheta_i 2))))))) (pow cosTheta_i 2))
(* 2 (/ (pow v 2) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(/ (+ (* 2 (/ (pow v 2) (pow cosTheta_O 2))) (* 4 (/ (pow v 3) (* (pow cosTheta_O 3) cosTheta_i)))) (pow cosTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -8 (/ (pow v 4) (* (pow cosTheta_O 4) cosTheta_i))) (* 4 (/ (pow v 4) (* (pow cosTheta_O 4) cosTheta_i)))) (* 4 (/ (pow v 3) (pow cosTheta_O 3)))) cosTheta_i)) (* 2 (/ (pow v 2) (pow cosTheta_O 2)))) (pow cosTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8 (/ (pow v 5) (* (pow cosTheta_O 5) cosTheta_i))) (* -2 (/ (* v (+ (* -8 (/ (pow v 4) (pow cosTheta_O 4))) (* 4 (/ (pow v 4) (pow cosTheta_O 4))))) (* cosTheta_O cosTheta_i)))) (+ (* -8 (/ (pow v 4) (pow cosTheta_O 4))) (* 4 (/ (pow v 4) (pow cosTheta_O 4))))) cosTheta_i)) (* 4 (/ (pow v 3) (pow cosTheta_O 3)))) cosTheta_i)) (* 2 (/ (pow v 2) (pow cosTheta_O 2)))) (pow cosTheta_i 2))
(* 2 (/ (pow v 2) (* (pow cosTheta_O 2) (pow cosTheta_i 2))))
(* (pow v 2) (+ (* 4 (/ v (* (pow cosTheta_O 3) (pow cosTheta_i 3)))) (* 2 (/ 1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
(* (pow v 2) (+ (* v (+ (* 4 (/ v (* (pow cosTheta_O 4) (pow cosTheta_i 4)))) (* 4 (/ 1 (* (pow cosTheta_O 3) (pow cosTheta_i 3)))))) (* 2 (/ 1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
(* (pow v 2) (+ (* v (+ (* v (+ (* -8 (/ (pow v 2) (* (pow cosTheta_O 6) (pow cosTheta_i 6)))) (* 4 (/ 1 (* (pow cosTheta_O 4) (pow cosTheta_i 4)))))) (* 4 (/ 1 (* (pow cosTheta_O 3) (pow cosTheta_i 3)))))) (* 2 (/ 1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))
1
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(- (+ 1 (* -1 (/ (+ (* -1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) (pow v 2)))) (* -1 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ 1 (* -1 (/ (+ (* 1/2 (* (pow cosTheta_O 3) (pow cosTheta_i 3))) (* cosTheta_O (* cosTheta_i (+ (* -1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2))))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (* -1 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) (* cosTheta_O cosTheta_i)) v)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* -1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))))) v)) (* -1/2 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v))) (+ (* -1 (* (pow cosTheta_O 2) (pow cosTheta_i 2))) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2))))) v)) (* cosTheta_O cosTheta_i)) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))
(+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))
(+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))
(+ 1 (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v)) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) v))) v)))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(exp (- (+ (log 2) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (log 2) 6931/10000))
(+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(+ (exp (- (log 2) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp (- (log 2) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))))
(exp (- (log 2) 6931/10000))
(+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1 (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1 (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)))
(- (+ (log 2) (/ 1 v)) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log 2) sinTheta_O))) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log 2) sinTheta_O))) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log 2) sinTheta_O))) (* 6931/10000 (/ 1 sinTheta_O))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) 6931/10000) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) 6931/10000) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) 6931/10000) sinTheta_O)))))
(- (+ (log 2) (/ 1 v)) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log 2) sinTheta_i))) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log 2) sinTheta_i))) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log 2) sinTheta_i))) (* 6931/10000 (/ 1 sinTheta_i))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) 6931/10000) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) 6931/10000) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) 6931/10000) sinTheta_i)))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log 2) 6931/10000)))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log 2) 6931/10000)))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (log 2) 6931/10000)))) v)
(- (log 2) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (log 2) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 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)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(/ 1 v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)

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

eval210.0ms (1.8%)

Memory: -13.3MiB live, 268.4MiB allocated
Compiler: Compiled 41 256 to 5 077 computations (87.7% saved)

prune203.0ms (1.8%)

Memory

13.3MiB live, 441.8MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1 373	26	1 399
Fresh	3	11	14
Picked	2	3	5
Done	0	2	2
Total	1 378	42	1 420

Accuracy

99.9%

Counts

1 420 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	11.2%	(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
	99.2%	(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))) v)
✓	99.7%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
	12.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_i) v)) cosTheta_i) v) cosTheta_O #s(literal 1 binary32)))
	20.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (.f32 v v)) cosTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 cosTheta_i v)) #s(literal 1 binary32))))
	8.7%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) #s(literal 1 binary32)))
	21.7%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 v v)) (neg.f32 (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
	28.5%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 v v)) (neg.f32 (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
	13.8%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_i)) (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
	7.9%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v (.f32 (.f32 v v) (neg.f32 cosTheta_i))) (.f32 v (*.f32 v v))) #s(literal 1 binary32)))
	23.9%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1 binary32)))
	13.6%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v v (.f32 (/.f32 (neg.f32 v) cosTheta_i) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))) (.f32 (/.f32 (neg.f32 v) cosTheta_i) (.f32 v v))) #s(literal 1 binary32)))
	12.5%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))) v) cosTheta_i) v) #s(literal 1 binary32)))
	20.0%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))
	6.7%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
	21.9%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i)))) #s(literal 1 binary32)))
	44.9%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
	31.0%	(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 cosTheta_i (.f32 v cosTheta_O))))) #s(literal 1 binary32)))
	10.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))
	10.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal -1/6 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal 1/2 binary32)))) (neg.f32 v))) v)))
	9.2%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_i) v))))) v)))
	20.7%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (neg.f32 (/.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) cosTheta_i)))))
	20.0%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O (.f32 v cosTheta_i)))))
	19.9%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O)))))
	19.1%	(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_O))) (/.f32 cosTheta_i (.f32 v cosTheta_O)))))
	99.3%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))))
	99.6%	(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (/.f32 (fma.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
	99.0%	(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	99.6%	(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
	99.6%	(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	13.6%	(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
	79.0%	(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v))))))))
✓	99.3%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	99.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
	99.3%	(.f32 (exp.f32 (.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
	50.0%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))))) (.f32 v (.f32 v v))) (fma.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))) (.f32 v v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (fma.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))) (.f32 v v)))))))
	99.6%	(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) (log.f32 v))) #s(literal 2 binary32)))
	99.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
✓	15.1%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.6%	(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 2 662 to 1 081 computations (59.4% saved)

regimes168.0ms (1.5%)

Memory

0.7MiB live, 214.7MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))) v) cosTheta_i) v) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_i) v)) cosTheta_i) v) cosTheta_O #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 cosTheta_i v)))) (.f32 cosTheta_O cosTheta_i)) v)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_i) v))))) v)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 v v)) (neg.f32 (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 cosTheta_i (.f32 v cosTheta_O))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 v v)) (neg.f32 (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (.f32 v v)) cosTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 cosTheta_i v)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v (.f32 (.f32 v v) (neg.f32 cosTheta_i))) (.f32 v (*.f32 v v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_O))) (/.f32 cosTheta_i (.f32 v cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O (.f32 v cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (neg.f32 (/.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal -1 binary32) cosTheta_i)) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v v (.f32 (/.f32 (neg.f32 v) cosTheta_i) (.f32 cosTheta_i (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))) (.f32 (/.f32 (neg.f32 v) cosTheta_i) (.f32 v v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_i)) (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal -1/6 binary32) v) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (*.f32 cosTheta_O cosTheta_O) #s(literal 1/2 binary32)))) (neg.f32 v))) v)))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O (neg.f32 cosTheta_i)) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.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 v #s(literal 2 binary32)))
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (/.f32 (fma.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.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 1 binary32) (.f32 v (exp.f32 (/.f32 (fma.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32)) (-.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 cosTheta_O cosTheta_i))) 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)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(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)))))
(fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_O)) (fma.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v))))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))))) v)
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))) (exp.f32 (fma.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) (log.f32 v))) #s(literal 2 binary32)))
(.f32 (exp.f32 (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)) (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))) (+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))))
(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)))) (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v))) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v)))))))
(/.f32 (exp.f32 (/.f32 (.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 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (-.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))))) (.f32 v (.f32 v v))) (fma.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))) (.f32 v v))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (fma.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) v) (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)))) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))))) (.f32 v v)))))))

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

Calls

9 calls:

23.0ms	(*.f32 cosTheta_i cosTheta_O)
21.0ms	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
19.0ms	cosTheta_O
19.0ms	sinTheta_i
18.0ms	sinTheta_O

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes99.0ms (0.9%)

Memory

-11.9MiB live, 181.0MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)

Calls

9 calls:

13.0ms	sinTheta_i
12.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
12.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	cosTheta_i
11.0ms	v

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes89.0ms (0.8%)

Memory

-0.2MiB live, 156.9MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

Calls

9 calls:

12.0ms	sinTheta_i
11.0ms	cosTheta_i
10.0ms	v
10.0ms	(*.f32 cosTheta_i cosTheta_O)
10.0ms	(+.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
99.2%	1	`cosTheta_i`
99.2%	1	`cosTheta_O`
99.2%	1	`sinTheta_i`
99.2%	1	`sinTheta_O`
99.2%	1	`v`
99.2%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.2%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes92.0ms (0.8%)

Memory

16.7MiB live, 178.0MiB allocated

Counts

34 → 2

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))

(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 cosTheta_i (*.f32 v cosTheta_O))))) #s(literal 1 binary32)))

Calls

9 calls:

16.0ms	sinTheta_i
11.0ms	v
10.0ms	cosTheta_O
9.0ms	(*.f32 cosTheta_i cosTheta_O)
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))))

Results

Accuracy	Segments	Branch
44.9%	1	`cosTheta_i`
44.9%	1	`cosTheta_O`
44.9%	1	`sinTheta_i`
44.9%	1	`sinTheta_O`
54.8%	2	`v`
44.9%	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)))))`
54.8%	2	`(+.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))))`
44.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
44.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes16.0ms (0.1%)

Memory

1.2MiB live, 40.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))) v) cosTheta_i) v) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_i) v)) cosTheta_i) v) cosTheta_O #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 cosTheta_i v)))) (.f32 cosTheta_O cosTheta_i)) v)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i cosTheta_i) v))))) v)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 v v)) (neg.f32 (/.f32 cosTheta_i v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (neg.f32 v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 v cosTheta_i)))) #s(literal 1 binary32)))

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))

Calls

3 calls:

6.0ms

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

sinTheta_i

Results

Accuracy	Segments	Branch
44.9%	1	`sinTheta_i`
44.9%	1	`v`
44.9%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`

Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes33.0ms (0.3%)

Memory

-11.1MiB live, 71.0MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (-.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))) v) cosTheta_i) v) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_i) v)) cosTheta_i) v) cosTheta_O #s(literal 1 binary32)))

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (*.f32 cosTheta_O (*.f32 (*.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (*.f32 v v)) #s(literal 1 binary32)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
23.9%	1	`cosTheta_i`
23.9%	1	`cosTheta_O`
23.9%	1	`sinTheta_O`
23.9%	1	`v`
23.9%	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)))))`
23.9%	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))))`
23.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
23.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
23.9%	1	`sinTheta_i`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes25.0ms (0.2%)

Memory

20.0MiB live, 58.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))

Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
20.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
20.0%	1	`cosTheta_O`
20.0%	1	`v`
20.0%	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))))`
20.0%	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)))))`
20.0%	1	`cosTheta_i`
20.0%	1	`sinTheta_i`
20.0%	1	`sinTheta_O`
20.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes23.0ms (0.2%)

Memory

-27.2MiB live, 50.5MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))

Outputs
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
11.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
11.2%	1	`v`
11.2%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
11.2%	1	`cosTheta_O`
11.2%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
11.2%	1	`cosTheta_i`
11.2%	1	`sinTheta_i`
11.2%	1	`sinTheta_O`
11.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes16.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))

Outputs
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
6.7%	1	`v`
6.7%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
6.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
6.7%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
6.7%	1	`sinTheta_i`
6.7%	1	`cosTheta_i`
6.7%	1	`cosTheta_O`
6.7%	1	`sinTheta_O`
6.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes16.0ms (0.1%)

Memory

-6.9MiB live, 34.8MiB allocated

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))

Outputs
#s(literal 1 binary32)

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
6.5%	1	`sinTheta_O`
6.5%	1	`cosTheta_i`
6.5%	1	`cosTheta_O`
6.5%	1	`sinTheta_i`
6.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
6.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
6.5%	1	`v`
6.5%	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)))))`
6.5%	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))))`

Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.5394580525402986e+23	-1.3649716015497433e+23

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify13.0ms (0.1%)

Memory

-23.7MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`*-commutative_binary32`
38×	`+-commutative_binary32`
36×	`sub-neg_binary32`
28×	`neg-sub0_binary32`
28×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	179
1	112	179
2	147	179
3	174	179
4	192	179
5	198	179
6	200	179

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(if (<=.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))) #s(literal -199999995563926167224320 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 cosTheta_i (.f32 v cosTheta_O))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
#s(literal 1 binary32)

Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(if (<=.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))) #s(literal -199999995563926167224320 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (neg.f32 (.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 cosTheta_i (.f32 v cosTheta_O))))) #s(literal 1 binary32))))
(if (<=.f32 (+.f32 (+.f32 #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))) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))))) #s(literal -199999995563926167224320 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_i) (.f32 v v)) (/.f32 cosTheta_i (.f32 v cosTheta_O))) (neg.f32 cosTheta_O)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32)))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (fma.f32 v (neg.f32 cosTheta_i) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_i))) (.f32 v v)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))))
(/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i (neg.f32 v)) #s(literal 1 binary32)))
#s(literal 1 binary32)

soundness1.1s (10%)

Memory

26.4MiB live, 985.9MiB allocated

Rules

10 812×	`lower-fma.f64`
10 812×	`lower-fma.f32`
9 618×	`lower-fma.f64`
9 618×	`lower-fma.f32`
9 370×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	41
0	34	35
1	147	32
2	1507	32
0	8189	32
0	187	2582
1	557	2542
2	2007	2257
3	6826	2143
0	8352	2027
0	764	10340
1	2443	9568
0	8475	9042
0	844	9340
1	2748	8860
0	8791	8438
0	862	11278
1	2771	10956
0	8315	10258
0	37	165
0	65	165
1	250	159
2	1752	159
0	8545	159

Stop Event

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

Compiler

Compiled 509 to 316 computations (37.9% saved)

preprocess73.0ms (0.6%)

Memory

-10.6MiB live, 185.2MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 788 to 466 computations (40.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze401.0ms (3.5%)

sample2.6s (22.7%)

preprocess314.0ms (2.7%)

explain293.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize76.0ms (0.7%)

series81.0ms (0.7%)

rewrite425.0ms (3.7%)

simplify438.0ms (3.8%)

eval48.0ms (0.4%)

prune66.0ms (0.6%)

simplify0.0ms (0%)

localize215.0ms (1.9%)

series98.0ms (0.9%)

rewrite352.0ms (3.1%)

simplify669.0ms (5.8%)

eval182.0ms (1.6%)

prune180.0ms (1.6%)

simplify0.0ms (0%)

localize157.0ms (1.4%)

series57.0ms (0.5%)

rewrite339.0ms (3%)

simplify545.0ms (4.8%)

eval449.0ms (3.9%)

prune206.0ms (1.8%)

simplify0.0ms (0%)

localize202.0ms (1.8%)

series84.0ms (0.7%)

rewrite358.0ms (3.1%)

simplify404.0ms (3.5%)

eval210.0ms (1.8%)

prune203.0ms (1.8%)

regimes168.0ms (1.5%)

regimes99.0ms (0.9%)

regimes89.0ms (0.8%)

regimes92.0ms (0.8%)

regimes16.0ms (0.1%)

regimes33.0ms (0.3%)

regimes25.0ms (0.2%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

bsearch1.0ms (0%)

simplify13.0ms (0.1%)

soundness1.1s (10%)

preprocess73.0ms (0.6%)

end0.0ms (0%)

Profiling