Metrics for HairBSDF, Mp, lower

analyze811.0ms (4.9%)

Memory

-28.2MiB live, 581.4MiB 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)

sample5.6s (33.5%)

Memory

73.9MiB live, 4 225.2MiB allocated

Samples

4.8s	8 256×	0	valid
56.0ms	151×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-mult: 1.4s (36.9% of total)

const: 579.0ms (15.3% of total)

ival-<=: 535.0ms (14.1% of total)

ival-log: 383.0ms (10.1% of total)

ival-sub: 324.0ms (8.5% of total)

ival-div: 268.0ms (7.1% of total)

ival-add: 129.0ms (3.4% of total)

ival-exp: 99.0ms (2.6% of total)

ival-and: 54.0ms (1.4% of total)

exact: 16.0ms (0.4% of total)

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

Bogosity

preprocess276.0ms (1.7%)

Memory

-45.3MiB live, 507.3MiB 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)))))

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)

explain236.0ms (1.4%)

Memory

-11.1MiB live, 506.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
97	7	(-0.338855117559433 -9.429950310196888e-13 -3.0391690378250066e-16 5.785036388492542e-33 0.0003866506740450859)	34	(-1.130583839881183e-7 -1.7042582954808254e-37 -1.2299447484792614e-12 4.178192548926093e-33 1.4160842637389592e-11)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
92	4	(-1.966747378598357e-34 7.8256484463055e-30 -2.173931079596514e-7 -1.4660381651421985e-22 7.648787259087261e-20)	37	(-1.4585229109798092e-5 -1.2896845932258368e-37 -1.4618835954117445e-26 -7.914592555498886e-30 1.779338238060032e-29)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
2	7	(-5.138319702608168e-29 2.680667369532419e-23 -5.0349813207617444e-9 2.519118652344332e-6 0.005265739746391773)	2	(-1.853981679289518e-8 6.602381478248488e-16 -0.022073835134506226 -3.3605404897917896e-30 0.02517029084265232)	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) v)`
0	0	-	0	-	`(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
0	0	-	0	-	`sinTheta_i`
0	0	-	0	-	`v`
0	0	-	0	-	`cosTheta_i`
0	0	-	0	-	`(+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))`
0	0	-	0	-	`sinTheta_O`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) v)`
0	0	-	0	-	`(*.f32 sinTheta_i sinTheta_O)`
0	0	-	0	-	`(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 cosTheta_i cosTheta_O)`
0	0	-	0	-	`#s(literal 6931/10000 binary32)`
0	0	-	0	-	`(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))`
0	0	-	0	-	`(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	11	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	83
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	9	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	80
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	7	3

Confusion

	Predicted +	Predicted -
+	0	2
-	27	227

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	0
-	27	1	226

Precision?

0.06666666666666667

Recall?

1.0

Freqs

test

number	freq
0	229
1	27

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

80.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

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

ival-div: 15.0ms (27.5% of total)

ival-mult: 10.0ms (18.3% of total)

const: 8.0ms (14.7% of total)

ival-log: 7.0ms (12.8% of total)

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

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

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

ival-true: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.7%

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

Compiler

Compiled 30 to 21 computations (30% saved)

simplify224.0ms (1.3%)

Memory

36.5MiB live, 427.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	320	(-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	2944	(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)))))

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

Stop Event

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

Calls

Call 1

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

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

localize62.0ms (0.4%)

Memory

-29.9MiB live, 128.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
✓	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	75.6%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	75.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)

Samples

40.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 9.0ms (34.4% of total)

ival-mult: 5.0ms (19.1% of total)

ival-log: 3.0ms (11.5% of total)

const: 3.0ms (11.5% of total)

ival-exp: 2.0ms (7.6% of total)

ival-add: 2.0ms (7.6% of total)

ival-sub: 2.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (0.5%)

Memory

0.5MiB live, 159.1MiB allocated

Counts

7 → 276

Calls

Call 1

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

Outputs
#<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))))>
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#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>

Calls

69 calls:

Time	Variable		Point	Expression
31.0ms	v	@	0	(log (/ 1 (* 2 v)))
19.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
6.0ms	v	@	inf	(log (/ 1 (* 2 v)))
2.0ms	v	@	-inf	(/ 1 (* 2 v))
1.0ms	v	@	0	(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))

rewrite370.0ms (2.2%)

Memory

25.0MiB live, 691.6MiB 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	72
0	34	60
1	147	55
2	1507	55
0	8245	55

Stop Event

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

Counts

7 → 473

Calls

Call 1

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

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

simplify397.0ms (2.4%)

Memory

21.7MiB live, 618.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 284×	`lower-fma.f64`
11 284×	`lower-fma.f32`
6 636×	`lower-*.f64`
6 636×	`lower-*.f32`
3 122×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	4128
1	891	3918
2	3129	3629
0	8250	3465

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval138.0ms (0.8%)

Memory: -21.2MiB live, 135.0MiB allocated
Compiler: Compiled 25 794 to 2 907 computations (88.7% saved)

prune92.0ms (0.6%)

Memory

15.7MiB live, 176.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	743	6	749
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	744	6	750

Accuracy

99.8%

Counts

750 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 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 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
▶	86.0%	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
▶	4.6%	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
▶	99.8%	(.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)) (/.f32 #s(literal -1 binary32) v)))))
▶	99.7%	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
▶	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))

Compiler

Compiled 378 to 220 computations (41.8% saved)

simplify281.0ms (1.7%)

Memory

17.5MiB live, 377.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	64	(+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v))
✓	cost-diff	2944	(exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
✓	cost-diff	3872	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓	cost-diff	320	(/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v))
✓	cost-diff	2944	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	cost-diff	64	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	2944	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	cost-diff	64	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	96	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))

Rules

4 828×	`lower-fma.f64`
4 820×	`lower-fma.f32`
3 032×	`lower-*.f64`
3 016×	`lower-*.f32`
2 312×	`lower-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	385
0	93	374
1	165	369
2	316	348
3	873	338
4	2459	335
5	6002	335
0	8143	335

Stop Event

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

Calls

Call 1

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

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

localize230.0ms (1.4%)

Memory

-6.3MiB live, 192.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v))
✓	accuracy	95.3%	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓	accuracy	93.6%	(exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v)))
✓	accuracy	87.2%	(/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v)
✓	accuracy	99.9%	(+.f32 (+.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓	accuracy	99.9%	(+.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v)) #s(literal 6931/10000 binary32))
✓	accuracy	99.7%	(exp.f32 (+.f32 (+.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	accuracy	67.4%	(/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (.f32 v v))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	accuracy	100.0%	(/.f32 #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 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #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)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.9%	(.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)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))

Samples

115.0ms	233×	0	valid
8.0ms	23×	0	exit

Compiler

Compiled 387 to 56 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 41.0ms (42% of total)

ival-div: 14.0ms (14.3% of total)

ival-exp: 12.0ms (12.3% of total)

ival-add: 12.0ms (12.3% of total)

ival-log: 7.0ms (7.2% of total)

const: 7.0ms (7.2% of total)

ival-neg: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

series282.0ms (1.7%)

Memory

-7.2MiB live, 264.0MiB allocated

Counts

24 → 816

Calls

Call 1

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

Outputs
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O 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_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ 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 (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
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#<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_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 (/ (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -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))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -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))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -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)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) 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)) (+ (/ (log (/ 1/2 v)) 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)) (+ (/ (log (/ 1/2 v)) 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 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -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)) (+ (/ (log (/ 1/2 v)) 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)) (+ (/ (log (/ 1/2 v)) 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)) (+ (/ (log (/ 1/2 v)) 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 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* 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) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))))) 1) v)>
#<alt (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)>

Calls

204 calls:

Time	Variable		Point	Expression
31.0ms	sinTheta_i	@	-inf	(/ (+ (* (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) v) (neg v)) (* v v))
22.0ms	cosTheta_O	@	inf	(exp (+ (neg (log (* v 2))) (/ (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) v)))
22.0ms	v	@	0	(* (/ 1 v) (* 1/2 (exp 6931/10000)))
19.0ms	sinTheta_O	@	0	(exp (+ (neg (log (* v 2))) (/ (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) v)))
16.0ms	v	@	-inf	(+ (neg (log (* v 2))) (/ (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) v))

rewrite435.0ms (2.6%)

Memory

10.7MiB live, 403.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 620×	`lower-/.f64`
4 604×	`lower-/.f32`
4 132×	`lower-fma.f64`
4 124×	`lower-fma.f32`
3 570×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	266
0	93	253
1	371	245
2	2672	243
0	8124	240

Stop Event

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

Counts

24 → 885

Calls

Call 1

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

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

simplify585.0ms (3.5%)

Memory

27.6MiB live, 609.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 866×	`lower-fma.f64`
7 866×	`lower-fma.f32`
6 176×	`lower-*.f64`
6 176×	`lower-*.f32`
5 956×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1064	16259
1	3515	15290
0	8137	14696

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

Calls

Call 1

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

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

eval587.0ms (3.5%)

Memory: -183.5MiB live, 393.0MiB allocated
Compiler: Compiled 50 457 to 4 312 computations (91.5% saved)

prune257.0ms (1.5%)

Memory

16.7MiB live, 459.7MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1 756	16	1 772
Fresh	1	0	1
Picked	5	0	5
Done	0	0	0
Total	1 762	16	1 778

Accuracy

99.9%

Counts

1 778 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.0%	(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v)))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	4.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
	99.7%	(/.f32 (exp.f32 (fma.f32 v (/.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (.f32 v v)) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
	83.7%	(/.f32 (exp.f32 (.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) sinTheta_O)) (neg.f32 sinTheta_O))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32))))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (fma.f32 v (/.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (.f32 v v)) #s(literal 6931/10000 binary32)))))
	99.8%	(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 #s(literal 6931/10000 binary32)))
▶	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_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
▶	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	4.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
	97.7%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
▶	13.9%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
	99.7%	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
▶	97.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))

Compiler

Compiled 688 to 494 computations (28.2% saved)

simplify320.0ms (1.9%)

Memory

-29.1MiB live, 376.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
✓	cost-diff	3520	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓	cost-diff	64	(-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
✓	cost-diff	544	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
✓	cost-diff	0	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	cost-diff	0	(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)
✓	cost-diff	0	(exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)))

Rules

8 456×	`lower-fma.f64`
8 446×	`lower-fma.f32`
4 114×	`lower-*.f64`
4 100×	`lower-*.f32`
1 846×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	466
0	91	460
1	164	439
2	360	439
3	1015	434
4	4117	434
0	8188	432

Stop Event

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

Calls

Call 1

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

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

localize192.0ms (1.2%)

Memory

12.4MiB live, 407.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
✓	accuracy	99.8%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
✓	accuracy	99.8%	(/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
✓	accuracy	99.7%	(exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓	accuracy	99.8%	(exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
✓	accuracy	98.7%	(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)
✓	accuracy	100.0%	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	100.0%	(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓	accuracy	98.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	100.0%	(neg.f32 sinTheta_O)
✓	accuracy	99.9%	(/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)
✓	accuracy	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)))
✓	accuracy	99.8%	(exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v))

Samples

99.0ms	205×	0	exit
20.0ms	51×	0	valid

Compiler

Compiled 468 to 55 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 26.0ms (30.1% of total)

ival-div: 22.0ms (25.5% of total)

ival-exp: 13.0ms (15.1% of total)

const: 10.0ms (11.6% of total)

ival-add: 9.0ms (10.4% of total)

ival-neg: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series155.0ms (0.9%)

Memory

15.5MiB live, 246.0MiB allocated

Counts

24 → 936

Calls

Call 1

Inputs
#<alt (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (exp.f32 (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v))>
#<alt (/.f32 (fma.f32 v #s(literal 6931/10000 binary32) (fma.f32 sinTheta_i (neg.f32 sinTheta_O) #s(literal -1 binary32))) v)>
#<alt (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))>
#<alt (/.f32 (*.f32 cosTheta_O cosTheta_i) v)>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<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))>
#<alt (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)>
#<alt (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))>
#<alt (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))>
#<alt (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))>
#<alt (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))>
#<alt (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))>
#<alt (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))>
#<alt (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))>
#<alt (neg.f32 sinTheta_O)>
#<alt (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v)>
#<alt (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))>
#<alt (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))>
#<alt (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))>

Outputs
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 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)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))) v))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))) (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v)))>
#<alt (+ (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))) (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v)))>
#<alt (+ (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))>
#<alt (* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) 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 (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))>
#<alt (+ (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)))>
#<alt (+ (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))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (- (* 6931/10000 v) 1) v))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (* 6931/10000 v) 1) v))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v))>
#<alt (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)>
#<alt 6931/10000>
#<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 6931/10000>
#<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 (/ (- (* 6931/10000 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 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (/ (- (* 6931/10000 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 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))>
#<alt (+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))>
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#<alt (* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))>
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#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))>
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#<alt (* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))>
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#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))>
#<alt (+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v)))>
#<alt (+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)) v)) (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)))) v)) (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) v)))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt 1>
#<alt (+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))>
#<alt 1>
#<alt (+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
#<alt (+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)>
#<alt (/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)>
#<alt (/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
#<alt (+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)>
#<alt (/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)>
#<alt (/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))>
#<alt (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))>
#<alt (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt (* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt (* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (- (+ 6931/10000 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))>

Calls

234 calls:

Time	Variable		Point	Expression
25.0ms	sinTheta_i	@	-inf	(/ 1 (* (/ 1/2 v) (exp (- (/ (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_O cosTheta_i)) v) (+ (/ 1 v) -6931/10000)))))
22.0ms	sinTheta_O	@	0	(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (* (/ 1 (* v v)) (* (+ (* sinTheta_O sinTheta_i) 1) (+ (* sinTheta_O sinTheta_i) 1))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
4.0ms	sinTheta_i	@	0	(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (* (/ 1 (* v v)) (* (+ (* sinTheta_O sinTheta_i) 1) (+ (* sinTheta_O sinTheta_i) 1))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))
3.0ms	sinTheta_O	@	0	(exp (/ (* (/ 1 (* v v)) (* (+ (* sinTheta_O sinTheta_i) 1) (+ (* sinTheta_O sinTheta_i) 1))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v)))))
3.0ms	v	@	inf	(/ (exp (/ 48038761/100000000 (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))) (exp (/ (* (/ 1 (* v v)) (* (+ (* sinTheta_O sinTheta_i) 1) (+ (* sinTheta_O sinTheta_i) 1))) (- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))))))

rewrite359.0ms (2.2%)

Memory

-18.5MiB live, 704.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 352×	`lower-/.f64`
5 326×	`lower-/.f32`
4 150×	`lower-*.f64`
4 138×	`lower-*.f32`
3 638×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	313
0	89	296
1	347	261
2	2853	242
0	9016	242

Stop Event

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

Counts

24 → 1 055

Calls

Call 1

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

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

simplify523.0ms (3.1%)

Memory

0.3MiB live, 1 049.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 228×	`lower-*.f64`
6 228×	`lower-*.f32`
4 940×	`lower-fma.f64`
4 940×	`lower-fma.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1811	24496
1	5949	23665
0	8106	22556

Stop Event

1×	iter limit
1×	node limit

Counts

936 → 936

Calls

Call 1

Inputs
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))
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6931/10000
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)))))
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1) v)
6931/10000
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6931/10000
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(* 1/2 (/ (exp 6931/10000) v))
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(* 1/2 (/ (exp 6931/10000) v))
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(* 1/2 (/ (exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) v))
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(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
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(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)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (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)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (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 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (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 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v)
(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ (- (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2)))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (pow v 2))
(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2))
(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i)))))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/ 1 (pow v 2))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(/ 1 (pow v 2))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i 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 (- (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))) (* -1 (/ sinTheta_O v))))
(/ (* 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))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)
(/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)
(/ (- (* 6931/10000 v) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)
6931/10000
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ sinTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_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 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* 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))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_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))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) v))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v))))
(+ (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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1
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1
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
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(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))
(* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(- (+ 6931/10000 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))

Outputs
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32))) v))) v)
(* 1/2 (/ (exp (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1) v)) v))
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(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))))
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(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))))
(exp.f32 (/.f32 (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(+ (* 48038761/100000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))))
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(+ (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/20000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/100000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))))
(fma.f32 v (fma.f32 v (fma.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) (/.f32 v (.f32 (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v 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)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (/.f32 #s(literal -4351410491404879/20000000000000000 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))) (/.f32 #s(literal 48038761/100000000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))))) (exp.f32 (/.f32 (neg.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32)))
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))
(+.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 26931/13862 binary32)) (.f32 v v)) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))) (/.f32 (.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -10000/6931 binary32)) (.f32 v v)))
(- (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) (+ (* -100000000/48038761 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* -10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 10000/6931 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(-.f32 (+.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -66931/41586 binary32) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal -100000000/48038761 binary32))) (.f32 v (.f32 v v))) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 26931/13862 binary32))) (.f32 v v)))) (fma.f32 #s(literal -100000000/48038761 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) (fma.f32 #s(literal -10000/6931 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (.f32 v (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal 10000/6931 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v v)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (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) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
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(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O)))))
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O)))))
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))
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(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_O) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_O) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))) (/.f32 (neg.f32 sinTheta_O) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 sinTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_O) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_O) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (/.f32 (neg.f32 sinTheta_O) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.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)) (* 6931/10000 (/ 1 sinTheta_i))))
(.f32 sinTheta_i (+.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))) (/.f32 #s(literal -6931/10000 binary32) sinTheta_i)))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))))
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(.f32 sinTheta_i (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_i v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v))) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i)))))
(neg.f32 (*.f32 sinTheta_i (neg.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i)))))
(.f32 (-.f32 (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O (.f32 sinTheta_i v)))) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O sinTheta_i))) #s(literal -6931/10000 binary32)) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i)))))
(.f32 (neg.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 (.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) (.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)) (/.f32 (*.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) sinTheta_i)) #s(literal -6931/10000 binary32)) sinTheta_i))) (neg.f32 sinTheta_i))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2)))
(fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2)))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ 1 (pow v 2)))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_O sinTheta_O))))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_O sinTheta_O))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 sinTheta_O (*.f32 v v)))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 sinTheta_O (*.f32 v v)))) sinTheta_O)))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 (pow v 2)))
(fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2)))
(fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (.f32 v v)) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(+ (* sinTheta_i (+ (* 2 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ 1 (pow v 2)))
(fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (.f32 v v)) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_i sinTheta_i))))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_i sinTheta_i))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 sinTheta_i (*.f32 v v)))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O (pow v 2))) (/ 1 (* sinTheta_i (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O (.f32 v v)) (/.f32 #s(literal -1 binary32) (.f32 sinTheta_i (*.f32 v v)))) sinTheta_i)))
(+ 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) v)))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))) (* -1 (/ sinTheta_i v))))
(.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O v)))))
(/ (* sinTheta_O sinTheta_i) v)
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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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(* -1 sinTheta_O)
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_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)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))
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(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 #s(literal -1 binary32) v))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (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 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v v))) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) v))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))))) (.f32 v (.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (.f32 v v))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))))) v)))
(fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)) v)) (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))))) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) 2)))) v)) (* (exp 6931/10000) (+ 1 (* -1 (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)))))) v) (.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i))) (-.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)))))) (neg.f32 v))) v))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) #s(literal 1 binary32))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (.f32 #s(literal -100000000/48038761 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (*.f32 v v))))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -100000000/48038761 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) (fma.f32 #s(literal 50000000/48038761 binary32) (/.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (/.f32 (*.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 v #s(literal 4 binary32)))))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) #s(literal 1 binary32))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (.f32 #s(literal -100000000/48038761 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (*.f32 v v))))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) #s(literal 100000000/48038761 binary32) (/.f32 (.f32 (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1346550000000/332956652491 binary32)) (neg.f32 v))) (neg.f32 (.f32 v (*.f32 v v))))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))
(fma.f32 sinTheta_O (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(fma.f32 sinTheta_O (fma.f32 (.f32 sinTheta_O (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) #s(literal 2 binary32)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 sinTheta_i) (.f32 (.f32 v (.f32 v v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (- 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))))
(exp.f32 (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_O (.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 v v) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 sinTheta_i (.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 #s(literal -48038761/100000000 binary32) (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 v (.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)))) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))) (.f32 #s(literal -48038761/100000000 binary32) (/.f32 sinTheta_i (.f32 v (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)
(/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (*.f32 #s(literal 48038761/100000000 binary32) (/.f32 v sinTheta_i))) sinTheta_O)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
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(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(/.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (/.f32 (*.f32 #s(literal -48038761/100000000 binary32) v) sinTheta_i)) (neg.f32 sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
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(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (.f32 #s(literal 48038761/100000000 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (.f32 (.f32 v v) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 sinTheta_O (.f32 v (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 #s(literal -48038761/100000000 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 sinTheta_i (.f32 (.f32 v (.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32)))) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))) (.f32 #s(literal -48038761/100000000 binary32) (/.f32 sinTheta_O (.f32 v (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)
(/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (*.f32 #s(literal 48038761/100000000 binary32) (/.f32 v sinTheta_O))) sinTheta_i)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 v sinTheta_O) (.f32 (.f32 v (.f32 v v)) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))) (.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(/.f32 (-.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (.f32 (pow.f32 v #s(literal 4 binary32)) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (pow.f32 sinTheta_O #s(literal 4 binary32))))) (.f32 #s(literal 48038761/100000000 binary32) (/.f32 v sinTheta_O))) (fma.f32 #s(literal -48038761/100000000 binary32) (.f32 (.f32 v (.f32 v v)) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)))))) sinTheta_i)
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 48038761/100000000 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(/.f32 (fma.f32 #s(literal 48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (*.f32 #s(literal -48038761/100000000 binary32) (/.f32 v sinTheta_O))) (neg.f32 sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 v sinTheta_O) (/.f32 (.f32 #s(literal 48038761/100000000 binary32) (fma.f32 (.f32 v (.f32 v v)) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (neg.f32 (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O sinTheta_O))))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(/.f32 (fma.f32 #s(literal -48038761/100000000 binary32) (/.f32 v sinTheta_O) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 48038761/100000000 binary32) (fma.f32 (pow.f32 v #s(literal 4 binary32)) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 sinTheta_i (pow.f32 sinTheta_O #s(literal 4 binary32)))) (.f32 (neg.f32 (.f32 v (.f32 v v))) (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))))) (neg.f32 sinTheta_i)) (.f32 #s(literal -48038761/100000000 binary32) (/.f32 (.f32 (.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O sinTheta_O)))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))
(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))
(/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))
(* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(.f32 v (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 v (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 48038761/100000000 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
(* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(.f32 v (fma.f32 v (fma.f32 #s(literal 2307722558415121/10000000000000000 binary32) (/.f32 v (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal -332956652491/1000000000000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 48038761/100000000 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
(* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
(.f32 v (fma.f32 v (fma.f32 v (fma.f32 #s(literal -15994825052375203651/100000000000000000000 binary32) (/.f32 v (pow.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 4 binary32))) (/.f32 #s(literal 2307722558415121/10000000000000000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (/.f32 #s(literal -332956652491/1000000000000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) (/.f32 #s(literal 48038761/100000000 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))
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 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal 10000/6931 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (.f32 v v)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) v)))
(- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+.f32 (+.f32 (fma.f32 #s(literal -100000000/48038761 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (.f32 v (.f32 v v))) #s(literal 6931/10000 binary32)) (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 10000/6931 binary32)) (*.f32 v v))) (/.f32 (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 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 #s(literal -10000/6931 binary32) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))
(+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -100000000/48038761 binary32) (/.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 10000/6931 binary32))) (neg.f32 v)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v))

eval294.0ms (1.8%)

Memory: 36.7MiB live, 656.4MiB allocated
Compiler: Compiled 75 956 to 6 745 computations (91.1% saved)

prune383.0ms (2.3%)

Memory

-13.2MiB live, 708.4MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	2 138	13	2 151
Fresh	6	5	11
Picked	5	0	5
Done	0	0	0
Total	2 149	18	2 167

Accuracy

100.0%

Counts

2 167 → 18

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))
▶	99.8%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))) v)
	83.7%	(/.f32 (exp.f32 (.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) sinTheta_O)) (neg.f32 sinTheta_O))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))))
▶	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
▶	86.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
	99.7%	(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (fma.f32 v (/.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (.f32 v v)) #s(literal 6931/10000 binary32)))))
	6.2%	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
	99.8%	(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 #s(literal 6931/10000 binary32)))
	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_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
	98.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 v (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 v (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 48038761/100000000 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
	99.3%	(.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 (neg.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶	97.8%	(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
	99.7%	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 858 to 588 computations (31.5% saved)

simplify263.0ms (1.6%)

Memory

11.1MiB live, 573.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	cost-diff	544	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	3584	(/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	cost-diff	0	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)
✓	cost-diff	160	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
✓	cost-diff	544	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v))
✓	cost-diff	0	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
✓	cost-diff	0	(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
✓	cost-diff	0	(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
✓	cost-diff	0	(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)))
✓	cost-diff	0	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))) v)

Rules

5 456×	`lower-fma.f64`
5 446×	`lower-fma.f32`
3 652×	`lower-*.f64`
3 644×	`lower-*.f32`
1 788×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	314
0	73	302
1	120	298
2	213	298
3	459	298
4	1495	298
5	3087	294
6	4396	294
7	7521	294
0	8022	290

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (0.8%)

Memory

-6.0MiB live, 350.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	accuracy	99.8%	(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	98.7%	(/.f32 (fma.f32 sinTheta_i (neg.f32 sinTheta_O) (*.f32 cosTheta_O cosTheta_i)) v)
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) 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%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	99.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) v)))
✓	accuracy	100.0%	(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓	accuracy	100.0%	(fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
✓	accuracy	99.9%	(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
✓	accuracy	99.8%	(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
✓	accuracy	100.0%	(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)))
✓	accuracy	99.9%	(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v)
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))) v)
✓	accuracy	99.8%	(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))

Samples

63.0ms	205×	0	exit
16.0ms	51×	0	valid

Compiler

Compiled 316 to 45 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 17.0ms (30.5% of total)

ival-exp: 13.0ms (23.3% of total)

ival-mult: 9.0ms (16.2% of total)

const: 7.0ms (12.6% of total)

ival-add: 6.0ms (10.8% of total)

ival-sub: 2.0ms (3.6% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series148.0ms (0.9%)

Memory

-19.2MiB live, 301.4MiB allocated

Counts

20 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
60.0ms	sinTheta_O	@	0	(/ (exp (- (/ (+ (* sinTheta_i (neg sinTheta_O)) (* cosTheta_O cosTheta_i)) v) -6931/10000)) (exp (/ 1 v)))
2.0ms	cosTheta_i	@	-inf	(+ (* 6931/10000 v) (+ (* cosTheta_O cosTheta_i) -1))
2.0ms	cosTheta_O	@	-inf	(/ 1 (* (/ 1/2 v) (/ (exp (- (/ (+ (* sinTheta_i (neg sinTheta_O)) (* cosTheta_O cosTheta_i)) v) -6931/10000)) (exp (/ 1 v)))))
2.0ms	cosTheta_i	@	-inf	(/ 1 (/ 1 (* (/ 1/2 v) (/ (exp (- (/ (+ (* sinTheta_i (neg sinTheta_O)) (* cosTheta_O cosTheta_i)) v) -6931/10000)) (exp (/ 1 v))))))
2.0ms	sinTheta_i	@	0	(/ 1 (* (/ 1/2 v) (/ (exp (- (/ (+ (* sinTheta_i (neg sinTheta_O)) (* cosTheta_O cosTheta_i)) v) -6931/10000)) (exp (/ 1 v)))))

rewrite485.0ms (2.9%)

Memory

41.1MiB live, 465.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 378×	`lower-/.f64`
4 352×	`lower-/.f32`
4 294×	`lower-*.f64`
4 286×	`lower-*.f32`
4 100×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	235
0	73	223
1	279	219
2	2039	219
0	8382	219

Stop Event

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

Counts

20 → 971

Calls

Call 1

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

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

simplify606.0ms (3.6%)

Memory

2.7MiB live, 632.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 004×	`lower-*.f64`
8 004×	`lower-*.f32`
6 682×	`lower-fma.f64`
6 682×	`lower-fma.f32`
4 444×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1186	16113
1	4117	15320
0	8492	14539

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

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

eval178.0ms (1.1%)

Memory: 21.5MiB live, 377.5MiB allocated
Compiler: Compiled 42 821 to 4 511 computations (89.5% saved)

prune281.0ms (1.7%)

Memory

-23.2MiB live, 583.4MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	1 670	9	1 679
Fresh	2	11	13
Picked	3	2	5
Done	0	0	0
Total	1 675	22	1 697

Accuracy

100.0%

Counts

1 697 → 22

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))
	97.8%	(pow.f32 (E.f32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
✓	99.8%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))) v)
	97.9%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
	86.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v)))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
	83.7%	(/.f32 (exp.f32 (.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) sinTheta_O)) (neg.f32 sinTheta_O))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)))
	99.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)))
	99.7%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) #s(literal -1/2 binary32))) (neg.f32 v)))
	86.4%	(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) v)))) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32))))
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (fma.f32 v (/.f32 (+.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_O cosTheta_i)) #s(literal -1 binary32)) (.f32 v v)) #s(literal 6931/10000 binary32)))))
	6.2%	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
	99.8%	(.f32 (/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (.f32 v #s(literal 2 binary32))) (exp.f32 #s(literal 6931/10000 binary32)))
	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_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
	98.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 v (fma.f32 #s(literal -332956652491/1000000000000 binary32) (/.f32 v (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal 48038761/100000000 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
	99.3%	(.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 (neg.f32 (/.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))) (.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) v))))))))
	99.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	97.8%	(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))
	99.7%	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.8%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1 339 to 596 computations (55.5% saved)

regimes110.0ms (0.7%)

Memory

11.4MiB live, 286.4MiB allocated

Counts

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

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

Calls

9 calls:

13.0ms	sinTheta_O
13.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	cosTheta_O
12.0ms	cosTheta_i
12.0ms	v

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes50.0ms (0.3%)

Memory

-26.9MiB live, 95.8MiB 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) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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)
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))
(exp.f32 (/.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 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.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))))

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:

10.0ms	v
6.0ms	cosTheta_i
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	sinTheta_O
5.0ms	cosTheta_O

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes42.0ms (0.3%)

Memory

15.8MiB live, 92.2MiB allocated

Counts

14 → 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) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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)
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))
(exp.f32 (/.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 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)

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

Calls

9 calls:

6.0ms	cosTheta_O
5.0ms	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
97.9%	1	`cosTheta_i`
97.9%	1	`cosTheta_O`
97.9%	1	`sinTheta_i`
97.9%	1	`sinTheta_O`
97.9%	1	`v`
97.9%	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)))))`
97.9%	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))))`
97.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes43.0ms (0.3%)

Memory

14.0MiB live, 93.0MiB allocated

Counts

13 → 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) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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)
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))
(exp.f32 (/.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 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))

Outputs
(pow.f32 (E.f32) (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))

Calls

9 calls:

8.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
6.0ms	(*.f32 sinTheta_i sinTheta_O)
4.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
97.8%	1	`cosTheta_i`
97.8%	1	`sinTheta_i`
97.8%	1	`sinTheta_O`
97.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
97.8%	1	`cosTheta_O`
97.8%	1	`v`
97.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
97.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
97.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes39.0ms (0.2%)

Memory

1.7MiB live, 78.3MiB allocated

Counts

12 → 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) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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)
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal -1 binary32)) v))
(exp.f32 (/.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 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))

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

Calls

9 calls:

6.0ms	sinTheta_i
6.0ms	(*.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))))
4.0ms	cosTheta_O
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
97.8%	1	`sinTheta_O`
97.8%	1	`cosTheta_i`
97.8%	1	`cosTheta_O`
97.8%	1	`sinTheta_i`
97.8%	1	`v`
97.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
97.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
97.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes31.0ms (0.2%)

Memory

-22.7MiB live, 58.7MiB allocated

Counts

7 → 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) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_O) (/.f32 (.f32 cosTheta_i cosTheta_i) v)) (.f32 cosTheta_O (neg.f32 cosTheta_i))) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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)

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

Calls

9 calls:

7.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	cosTheta_O
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
97.8%	1	`cosTheta_O`
97.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.8%	1	`cosTheta_i`
97.8%	1	`sinTheta_i`
97.8%	1	`sinTheta_O`
97.8%	1	`v`
97.8%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
97.8%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
97.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes18.0ms (0.1%)

Memory

3.1MiB live, 41.8MiB allocated

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

Outputs
#s(literal 1 binary32)

Calls

9 calls:

4.0ms	sinTheta_i
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	cosTheta_O
2.0ms	cosTheta_i

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

simplify6.0ms (0%)

Memory

13.9MiB live, 13.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary32`
2×	`1-exp_binary64`
2×	`+-commutative_binary32`
2×	`1-exp_binary32`
2×	`e-exp-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	54
1	33	54

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0s (6.1%)

Memory

17.5MiB live, 957.1MiB allocated

Rules

11 284×	`lower-fma.f64`
11 284×	`lower-fma.f32`
8 004×	`lower-*.f64`
8 004×	`lower-*.f32`
7 866×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1186	16113
1	4117	15320
0	8492	14539
0	1811	24496
1	5949	23665
0	8106	22556
0	278	4128
1	891	3918
2	3129	3629
0	8250	3465
0	1064	16259
1	3515	15290
0	8137	14696
0	40	235
0	73	223
1	279	219
2	2039	219
0	8382	219

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

Compiler

Compiled 378 to 283 computations (25.1% saved)

preprocess56.0ms (0.3%)

Memory

-13.1MiB live, 101.2MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 242 to 148 computations (38.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze811.0ms (4.9%)

sample5.6s (33.5%)

preprocess276.0ms (1.7%)

explain236.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify224.0ms (1.3%)

localize62.0ms (0.4%)

series84.0ms (0.5%)

rewrite370.0ms (2.2%)

simplify397.0ms (2.4%)

eval138.0ms (0.8%)

prune92.0ms (0.6%)

simplify281.0ms (1.7%)

localize230.0ms (1.4%)

series282.0ms (1.7%)

rewrite435.0ms (2.6%)

simplify585.0ms (3.5%)

eval587.0ms (3.5%)

prune257.0ms (1.5%)

simplify320.0ms (1.9%)

localize192.0ms (1.2%)

series155.0ms (0.9%)

rewrite359.0ms (2.2%)

simplify523.0ms (3.1%)

eval294.0ms (1.8%)

prune383.0ms (2.3%)

simplify263.0ms (1.6%)

localize134.0ms (0.8%)

series148.0ms (0.9%)

rewrite485.0ms (2.9%)

simplify606.0ms (3.6%)

eval178.0ms (1.1%)

prune281.0ms (1.7%)

regimes110.0ms (0.7%)

regimes50.0ms (0.3%)

regimes42.0ms (0.3%)

regimes43.0ms (0.3%)

regimes39.0ms (0.2%)

regimes31.0ms (0.2%)

regimes18.0ms (0.1%)

simplify6.0ms (0%)

soundness1.0s (6.1%)

preprocess56.0ms (0.3%)

end0.0ms (0%)

Profiling