Metrics for HairBSDF, Mp, lower

analyze732.0ms (4.8%)

Memory

-107.2MiB live, 979.2MiB 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)

sample4.6s (30.3%)

Memory

8.8MiB live, 3 807.2MiB allocated

Samples

2.5s	8 256×	0	valid
28.0ms	155×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

const: 642.0ms (30.5% of total)

ival-div: 386.0ms (18.3% of total)

ival-<=: 371.0ms (17.6% of total)

ival-mult: 182.0ms (8.6% of total)

ival-sub: 155.0ms (7.4% of total)

ival-log: 150.0ms (7.1% of total)

ival-add: 79.0ms (3.8% of total)

ival-exp: 66.0ms (3.1% of total)

ival-and: 55.0ms (2.6% of total)

exact: 16.0ms (0.8% of total)

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

Bogosity

preprocess754.0ms (4.9%)

Memory

2.9MiB live, 374.9MiB 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)

explain246.0ms (1.6%)

Memory

-18.7MiB live, 563.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
85	4	(2.975714935694169e-29 1.6243356947391355e-28 -1.0730144594440128e-32 3.1695919760349467e-12 2.3731502873935995e-12)	29	(-7.172915690231707e-13 -6.690836703063688e-33 -2.2711885558068193e-21 -3.6673182564943468e-37 3.2389859683235045e-9)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
80	3	(-1.2536293286660777e-28 0.07608083635568619 -5.5632164259773015e-36 1.1633634525481519e-26 8.012793541863385e-18)	26	(-1.119398105305002e-29 7.217643113137109e-37 -2.928742351663443e-23 1.887726246700128e-18 6.244407268241048e-5)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	5	(-2.5345557361789066e-33 1.4218614978744881e-6 4.776485263237681e-35 1.0509644672863477e-16 0.0017827415140345693)	3	(-1.7498458277103306e-31 2.5661782373051554e-26 -1.0698719632047378e-15 0.3329755365848541 0.011918369680643082)	`(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	10	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	86
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	7	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	85
`exp.f32`	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`	sensitivity	5	7

Confusion

	Predicted +	Predicted -
+	0	4
-	22	230

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	4	0
-	22	3	227

Precision?

0.13793103448275862

Recall?

1.0

Freqs

test

number	freq
0	234
1	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

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

ival-mult: 21.0ms (32.5% of total)

ival-div: 15.0ms (23.2% of total)

const: 7.0ms (10.8% of total)

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

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

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

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

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

exact: 1.0ms (1.5% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(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

▶

99.6%

(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)

simplify223.0ms (1.5%)

Memory

-3.7MiB live, 430.4MiB 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)

localize59.0ms (0.4%)

Memory

13.3MiB live, 103.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓	accuracy	99.6%	(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	80.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	78.7%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

37.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

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

ival-div: 8.0ms (31.1% of total)

ival-mult: 5.0ms (19.4% of total)

ival-log: 3.0ms (11.7% of total)

const: 3.0ms (11.7% of total)

ival-exp: 2.0ms (7.8% of total)

ival-add: 2.0ms (7.8% of total)

ival-sub: 2.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

series118.0ms (0.8%)

Memory

-8.1MiB live, 224.2MiB 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 cosTheta_i cosTheta_O) v)>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
#<alt (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))>

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

Calls

69 calls:

Time	Variable		Point	Expression
29.0ms	v	@	0	(log (/ 1 (* 2 v)))
21.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
6.0ms	v	@	inf	(log (/ 1 (* 2 v)))
4.0ms	cosTheta_i	@	inf	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
4.0ms	cosTheta_i	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite422.0ms (2.8%)

Memory

30.7MiB live, 697.3MiB 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	85
0	34	71
1	147	64
2	1507	64
0	8245	64

Stop Event

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

Counts

7 → 509

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 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) 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))))

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

simplify388.0ms (2.5%)

Memory

-11.3MiB live, 860.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 492×	`lower-fma.f64`
11 492×	`lower-fma.f32`
5 966×	`lower-*.f64`
5 966×	`lower-*.f32`
5 234×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926

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

eval92.0ms (0.6%)

Memory: 7.8MiB live, 254.7MiB allocated
Compiler: Compiled 28 071 to 2 566 computations (90.9% saved)

prune104.0ms (0.7%)

Memory

-1.6MiB live, 313.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	775	10	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	776	10	786

Accuracy

99.8%

Counts

786 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.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))))))))
	99.6%	(/.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)))))
▶	99.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
▶	4.7%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
	99.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (+.f32 (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))))))
▶	99.6%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.9%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
▶	99.5%	(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))))
▶	13.3%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	15.0%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 500 to 310 computations (38% saved)

simplify316.0ms (2.1%)

Memory

15.4MiB live, 574.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
✓	cost-diff	64	(fma.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v))
✓	cost-diff	416	(fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓	cost-diff	2944	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓	cost-diff	0	(+.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 #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	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	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	160	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (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

10 096×	`lower-fma.f64`
10 086×	`lower-fma.f32`
3 774×	`lower-*.f64`
3 758×	`lower-*.f32`
1 714×	`exp-sum`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	263
0	79	259
1	136	257
2	263	248
3	769	240
4	2606	237
5	7377	237
0	8542	237

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

localize137.0ms (0.9%)

Memory

-23.0MiB live, 382.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (*.f32 v v))
✓	accuracy	99.6%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓	accuracy	57.7%	(fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_i (neg.f32 sinTheta_O))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓	accuracy	100.0%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.8%	(+.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	99.6%	(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) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.0%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_O v)
✓	accuracy	99.8%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	accuracy	99.3%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	100.0%	(.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)))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.6%	(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

89.0ms

256×

valid

Compiler

Compiled 284 to 49 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 22.0ms (31.9% of total)

ival-div: 11.0ms (16% of total)

ival-exp: 11.0ms (16% of total)

ival-add: 9.0ms (13.1% of total)

const: 6.0ms (8.7% of total)

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

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

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

exact: 1.0ms (1.5% of total)

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

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

series165.0ms (1.1%)

Memory

9.2MiB live, 403.7MiB allocated

Counts

21 → 648

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

Calls

162 calls:

Time	Variable		Point	Expression
18.0ms	v	@	0	(+ (* (+ (* (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) v) (neg v)) (/ 1 (* v v))) (- 6931/10000 (log (* v 2))))
8.0ms	v	@	inf	(log (/ 1/2 v))
8.0ms	v	@	0	(log (/ 1/2 v))
7.0ms	v	@	-inf	(log (/ 1/2 v))
6.0ms	cosTheta_i	@	0	(+ (* (+ (* (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) v) (neg v)) (/ 1 (* v v))) (- 6931/10000 (log (* v 2))))

rewrite294.0ms (1.9%)

Memory

-6.7MiB live, 587.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 494×	`lower-fma.f64`
4 484×	`lower-fma.f32`
3 566×	`lower-/.f64`
3 554×	`lower-/.f32`
3 484×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	191
0	79	185
1	287	177
2	2187	169
0	8797	168

Stop Event

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

Counts

21 → 672

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

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

simplify417.0ms (2.7%)

Memory

12.0MiB live, 762.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 584×	`lower-fma.f64`
8 584×	`lower-fma.f32`
7 782×	`lower-*.f64`
7 782×	`lower-*.f32`
3 846×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	784	9937
1	2484	9307
0	8467	8909

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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

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

eval128.0ms (0.8%)

Memory: 0.9MiB live, 319.0MiB allocated
Compiler: Compiled 32 570 to 3 170 computations (90.3% saved)

prune152.0ms (1%)

Memory

3.3MiB live, 280.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1 342	11	1 353
Fresh	2	3	5
Picked	5	0	5
Done	0	0	0
Total	1 349	14	1 363

Accuracy

99.8%

Counts

1 363 → 14

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))
▶	99.6%	(/.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)
	99.6%	(/.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))))))))
	99.5%	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (exp.f32 (/.f32 (pow.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
	99.6%	(/.f32 (exp.f32 (-.f32 (fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
	99.6%	(/.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)))))
	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶	99.6%	(.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))))))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
▶	96.9%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
▶	99.5%	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.9%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	13.3%	(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 686 to 418 computations (39.1% saved)

simplify282.0ms (1.8%)

Memory

15.3MiB live, 303.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	64	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32))
✓	cost-diff	2944	(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)))))
✓	cost-diff	3264	(.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))))))
✓	cost-diff	0	(fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)
✓	cost-diff	0	(+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓	cost-diff	2944	(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 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	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	cost-diff	0	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	cost-diff	0	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #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)

Rules

6 464×	`lower-fma.f64`
6 456×	`lower-fma.f32`
3 160×	`lower-*.f64`
3 152×	`lower-*.f32`
2 510×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	238
0	63	237
1	102	235
2	163	229
3	290	229
4	534	229
5	1017	229
6	2604	229
7	6824	229
0	8116	229

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

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

localize135.0ms (0.9%)

Memory

-14.0MiB live, 106.5MiB allocated

Localize:

Found 15 expressions of interest:

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

Samples

93.0ms

256×

valid

Compiler

Compiled 259 to 40 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 30.0ms (39.8% of total)

ival-div: 17.0ms (22.5% of total)

ival-exp: 9.0ms (11.9% of total)

ival-add: 7.0ms (9.3% of total)

const: 4.0ms (5.3% of total)

ival-sub: 3.0ms (4% of total)

ival-log: 3.0ms (4% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series196.0ms (1.3%)

Memory

20.3MiB live, 177.7MiB allocated

Counts

19 → 696

Calls

Call 1

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

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

Calls

174 calls:

Time	Variable		Point	Expression
22.0ms	cosTheta_i	@	inf	(* (exp 6931/10000) (exp (- (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) -1) v) (log (* v 2)))))
17.0ms	v	@	inf	(- 6931/10000 (log (* v 2)))
14.0ms	sinTheta_i	@	-inf	(- (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) -1) v) (log (* v 2)))
11.0ms	v	@	-inf	(- 6931/10000 (log (* v 2)))
11.0ms	v	@	0	(- 6931/10000 (log (* v 2)))

rewrite440.0ms (2.9%)

Memory

-17.1MiB live, 569.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 462×	`lower-*.f64`
6 454×	`lower-*.f32`
4 564×	`lower-/.f64`
4 556×	`lower-/.f32`
3 124×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	178
0	63	177
1	236	175
2	1780	174
0	9329	170

Stop Event

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

Counts

19 → 586

Calls

Call 1

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

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

simplify409.0ms (2.7%)

Memory

14.2MiB live, 816.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 886×	`lower-fma.f64`
8 886×	`lower-fma.f32`
8 810×	`lower-*.f64`
8 810×	`lower-*.f32`
4 190×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	904	12446
1	2926	11696
0	8474	11001

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

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

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

eval131.0ms (0.9%)

Memory: -15.7MiB live, 339.5MiB allocated
Compiler: Compiled 38 683 to 3 528 computations (90.9% saved)

prune136.0ms (0.9%)

Memory

9.4MiB live, 282.3MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 276	6	1 282
Fresh	1	8	9
Picked	3	2	5
Done	0	0	0
Total	1 280	16	1 296

Accuracy

99.8%

Counts

1 296 → 16

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))
	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) v)
✓	99.6%	(/.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)
	99.6%	(/.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))))))))
	99.5%	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (exp.f32 (/.f32 (pow.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
▶	99.6%	(/.f32 (exp.f32 (-.f32 (fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
▶	99.5%	(/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 v))) #s(literal 2 binary32))
▶	99.6%	(/.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)))))
▶	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.5%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
	99.5%	(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	99.5%	(exp.f32 (+.f32 (/.f32 (.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 #s(literal -1 binary32) cosTheta_i))) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))
	96.9%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 740 to 466 computations (37% saved)

simplify394.0ms (2.6%)

Memory

21.1MiB live, 340.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.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)))
✓	cost-diff	64	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O))) #s(literal -1 binary32))
✓	cost-diff	160	(/.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)))))
✓	cost-diff	3136	(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))))
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	cost-diff	0	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 v))
✓	cost-diff	192	(/.f32 (exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 v))) #s(literal 2 binary32))
✓	cost-diff	2944	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 v)))
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	cost-diff	192	(/.f32 (exp.f32 (-.f32 (fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
✓	cost-diff	256	(fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32))
✓	cost-diff	2944	(exp.f32 (-.f32 (fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v)))
✓	cost-diff	6400	(exp.f32 (log.f32 #s(literal 2 binary32)))

Rules

5 762×	`lower-fma.f64`
5 752×	`lower-fma.f32`
2 936×	`lower-*.f64`
2 926×	`lower-*.f32`
2 222×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	358
0	88	358
1	156	352
2	286	334
3	621	322
4	1502	322
5	3649	322
0	8373	322

Stop Event

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

Calls

Call 1

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

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

localize288.0ms (1.9%)

Memory

17.0MiB live, 174.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
✓	accuracy	99.8%	(+.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))
✓	accuracy	99.8%	(-.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)))
✓	accuracy	99.6%	(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))))
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.7%	(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 v))
✓	accuracy	99.7%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (log.f32 v)))
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) v)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.6%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.9%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	accuracy	99.8%	(-.f32 (fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))
✓	accuracy	99.7%	(exp.f32 (-.f32 (fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v)))
✓	accuracy	99.6%	(/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v))
✓	accuracy	57.7%	(fma.f32 v (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) #s(literal 6931/10000 binary32))

Samples

186.0ms

256×

valid

Compiler

Compiled 385 to 53 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-div: 109.0ms (66.4% of total)

ival-add: 16.0ms (9.7% of total)

ival-mult: 12.0ms (7.3% of total)

ival-exp: 9.0ms (5.5% of total)

ival-log: 8.0ms (4.9% of total)

const: 4.0ms (2.4% of total)

ival-sub: 3.0ms (1.8% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series298.0ms (1.9%)

Memory

-36.8MiB live, 248.0MiB allocated

Counts

24 → 936

Calls

Call 1

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

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

Calls

234 calls:

Time	Variable		Point	Expression
61.0ms	v	@	0	(exp (- (+ (* v (/ (+ -1 (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_i cosTheta_O))) (* v v))) 6931/10000) (log v)))
28.0ms	sinTheta_i	@	0	(/ (+ -1 (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_i cosTheta_O))) (* v v))
9.0ms	cosTheta_O	@	-inf	(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_i (neg sinTheta_O))) -1)
7.0ms	cosTheta_O	@	0	(- (+ (* v (/ (+ -1 (+ (* sinTheta_O (neg sinTheta_i)) (* cosTheta_i cosTheta_O))) (* v v))) 6931/10000) (log v))
5.0ms	v	@	-inf	(- (+ 6931/10000 (/ (+ (* cosTheta_O cosTheta_i) -1) v)) (log v))

rewrite449.0ms (2.9%)

Memory

44.2MiB live, 388.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 516×	`lower-*.f64`
5 506×	`lower-*.f32`
3 848×	`lower-fma.f64`
3 838×	`lower-fma.f32`
3 536×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	269
0	88	269
1	363	263
2	2922	245
0	9200	235

Stop Event

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

Counts

24 → 656

Calls

Call 1

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

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

simplify583.0ms (3.8%)

Memory

-18.1MiB live, 666.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 086×	`lower-*.f64`
7 086×	`lower-*.f32`
6 654×	`lower-fma.f64`
6 654×	`lower-fma.f32`
4 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1166	20020
1	3868	19040
0	8398	18419

Stop Event

1×	iter limit
1×	node limit

Counts

936 → 936

Calls

Call 1

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

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

eval177.0ms (1.2%)

Memory: 20.2MiB live, 338.1MiB allocated
Compiler: Compiled 46 355 to 4 097 computations (91.2% saved)

prune173.0ms (1.1%)

Memory

2.6MiB live, 318.5MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 580	12	1 592
Fresh	3	6	9
Picked	4	1	5
Done	0	2	2
Total	1 587	21	1 608

Accuracy

99.8%

Counts

1 608 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.3%	(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 1 binary32))
	99.6%	(pow.f32 (exp.f32 (.f32 (+.f32 (-.f32 (log.f32 (.f32 #s(literal 2 binary32) v)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) #s(literal -6931/10000 binary32)) #s(literal -1/2 binary32))) #s(literal 2 binary32))
	51.0%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))) (fma.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (log.f32 v))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (fma.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (log.f32 v))) (.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))) #s(literal 2 binary32))
	37.4%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.6%	(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) v)
✓	99.6%	(/.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)
	99.5%	(/.f32 (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 v (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) #s(literal -1 binary32))) v)) #s(literal 2 binary32))
	99.5%	(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))) (exp.f32 (/.f32 (pow.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	80.4%	(/.f32 #s(literal 1 binary32) (exp.f32 (.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) (.f32 v cosTheta_i)) (-.f32 (/.f32 (log.f32 (.f32 v #s(literal 2 binary32))) cosTheta_i) (+.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (.f32 v cosTheta_i)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 cosTheta_O v)))))))
	97.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	99.6%	(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))) (exp.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
	99.5%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (-.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (log.f32 (.f32 v #s(literal 2 binary32))))))
	99.5%	(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (/.f32 #s(literal -1 binary32) v))))
	6.3%	(neg.f32 (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i))))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.9%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
	99.5%	(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (*.f32 #s(literal 2 binary32) v))))
	96.9%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1 220 to 519 computations (57.5% saved)

regimes121.0ms (0.8%)

Memory

-24.1MiB live, 145.6MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

23.0ms	cosTheta_O
19.0ms	v
13.0ms	(+.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))))
13.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes101.0ms (0.7%)

Memory

13.4MiB live, 169.4MiB allocated

Counts

35 → 1

Calls

Call 1

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

Calls

9 calls:

17.0ms	cosTheta_O
13.0ms	sinTheta_O
12.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
12.0ms	(*.f32 sinTheta_i sinTheta_O)
10.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes53.0ms (0.3%)

Memory

-11.0MiB live, 101.3MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs
(/.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)

Calls

9 calls:

8.0ms	cosTheta_i
8.0ms	(*.f32 sinTheta_i sinTheta_O)
6.0ms	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))))
5.0ms	cosTheta_O

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes53.0ms (0.3%)

Memory

13.1MiB live, 93.0MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

9 calls:

12.0ms	(+.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))))
7.0ms	sinTheta_i
5.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.5%	1	`cosTheta_i`
99.5%	1	`cosTheta_O`
99.5%	1	`sinTheta_i`
99.5%	1	`sinTheta_O`
99.5%	1	`v`
99.5%	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)))))`
99.5%	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))))`
99.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes45.0ms (0.3%)

Memory

13.9MiB live, 89.1MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
97.2%	1	`v`
97.2%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
97.2%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
97.2%	1	`cosTheta_i`
97.2%	1	`cosTheta_O`
97.2%	1	`sinTheta_i`
97.2%	1	`sinTheta_O`
97.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes92.0ms (0.6%)

Memory

-8.4MiB live, 72.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

9 calls:

34.0ms	(*.f32 cosTheta_i cosTheta_O)
28.0ms	cosTheta_O
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	sinTheta_i
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
96.9%	1	`sinTheta_i`
96.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
96.9%	1	`cosTheta_i`
96.9%	1	`cosTheta_O`
96.9%	1	`sinTheta_O`
96.9%	1	`v`
96.9%	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)))))`
96.9%	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))))`
96.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes34.0ms (0.2%)

Memory

11.6MiB live, 87.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`v`
96.9%	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)))))`
96.9%	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))))`
96.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
96.9%	1	`cosTheta_i`
96.9%	1	`cosTheta_O`
96.9%	1	`sinTheta_i`
96.9%	1	`sinTheta_O`
96.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes36.0ms (0.2%)

Memory

-11.8MiB live, 35.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)

Calls

9 calls:

17.0ms	sinTheta_i
3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms	sinTheta_O
2.0ms	v
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
37.4%	1	`cosTheta_O`
37.4%	1	`cosTheta_i`
37.4%	1	`sinTheta_O`
37.4%	1	`v`
37.4%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
37.4%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
37.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
37.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
37.4%	1	`sinTheta_i`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes13.0ms (0.1%)

Memory

-5.9MiB live, 33.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

9 calls:

3.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	cosTheta_O
1.0ms	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
1.0ms	sinTheta_i
1.0ms	v

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

simplify11.0ms (0.1%)

Memory

-16.9MiB live, 19.5MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary32`
18×	`+-commutative_binary32`
10×	`sub-neg_binary32`
8×	`neg-sub0_binary32`
8×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	86
1	62	86
2	71	86
3	78	86
4	83	86
5	85	86

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (7.9%)

Memory

7.3MiB live, 1 423.9MiB allocated

Rules

11 492×	`lower-fma.f64`
11 492×	`lower-fma.f32`
9 370×	`lower-fma.f64`
9 370×	`lower-fma.f32`
8 886×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926
0	42	191
0	79	185
1	287	177
2	2187	169
0	8797	168
0	21	85
0	34	71
1	147	64
2	1507	64
0	8245	64
0	784	9937
1	2484	9307
0	8467	8909
0	1166	20020
1	3868	19040
0	8398	18419
0	47	269
0	88	269
1	363	263
2	2922	245
0	9200	235
0	904	12446
1	2926	11696
0	8474	11001

Stop Event

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

Compiler

Compiled 294 to 210 computations (28.6% saved)

preprocess72.0ms (0.5%)

Memory

-18.7MiB live, 216.2MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 450 to 290 computations (35.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze732.0ms (4.8%)

sample4.6s (30.3%)

preprocess754.0ms (4.9%)

explain246.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify223.0ms (1.5%)

localize59.0ms (0.4%)

series118.0ms (0.8%)

rewrite422.0ms (2.8%)

simplify388.0ms (2.5%)

eval92.0ms (0.6%)

prune104.0ms (0.7%)

simplify316.0ms (2.1%)

localize137.0ms (0.9%)

series165.0ms (1.1%)

rewrite294.0ms (1.9%)

simplify417.0ms (2.7%)

eval128.0ms (0.8%)

prune152.0ms (1%)

simplify282.0ms (1.8%)

localize135.0ms (0.9%)

series196.0ms (1.3%)

rewrite440.0ms (2.9%)

simplify409.0ms (2.7%)

eval131.0ms (0.9%)

prune136.0ms (0.9%)

simplify394.0ms (2.6%)

localize288.0ms (1.9%)

series298.0ms (1.9%)

rewrite449.0ms (2.9%)

simplify583.0ms (3.8%)

eval177.0ms (1.2%)

prune173.0ms (1.1%)

regimes121.0ms (0.8%)

regimes101.0ms (0.7%)

regimes53.0ms (0.3%)

regimes53.0ms (0.3%)

regimes45.0ms (0.3%)

regimes92.0ms (0.6%)

regimes34.0ms (0.2%)

regimes36.0ms (0.2%)

regimes13.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.2s (7.9%)

preprocess72.0ms (0.5%)

end0.0ms (0%)

Profiling