Metrics for HairBSDF, Mp, lower

analyze496.0ms (2.8%)

Memory

15.8MiB live, 922.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.9s (16.4%)

Memory

-46.5MiB live, 4 181.6MiB allocated

Samples

2.1s	8 256×	0	valid
45.0ms	119×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-<=: 514.0ms (29.3% of total)

const: 347.0ms (19.8% of total)

ival-mult: 256.0ms (14.6% of total)

ival-div: 243.0ms (13.8% of total)

ival-log: 101.0ms (5.8% of total)

ival-add: 82.0ms (4.7% of total)

ival-sub: 77.0ms (4.4% of total)

ival-exp: 64.0ms (3.6% of total)

ival-and: 53.0ms (3% of total)

exact: 15.0ms (0.9% of total)

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

Bogosity

preprocess269.0ms (1.5%)

Memory

-7.7MiB live, 519.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

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)

explain362.0ms (2%)

Memory

-8.9MiB live, 505.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	2	(-6.01524725009025e-15 -1.0065316167765988e-34 5.956094584454616e-26 8.210492841165262e-10 0.00045534304808825254)	36	(-1.2725906958380782e-18 -4.014820171334041e-23 -3.16791471277611e-7 4.270518458113005e-35 5.514253591440327e-25)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
94	3	(-5.501074004788775e-17 1.8867301605496323e-6 8.038155255442633e-30 4.726274514170364e-29 2.7036719082084923e-14)	32	(2.084769856747215e-10 0.25990059971809387 -6.202396644983579e-35 1.841850449935123e-9 5.0183915183497056e-30)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	4	(-9.690982531694643e-18 2.0047402014177768e-28 -1.2426753665323244e-15 5.240036671239068e-8 0.009408723562955856)	3	(-1.8703771398626127e-21 6.456636336693578e-10 6.955903204984417e-38 1.7021059312439385e-13 0.013450421392917633)	`(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 sinTheta_i sinTheta_O) v)`	u/n	11	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	87
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	7	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	86
`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	4	4

Confusion

	Predicted +	Predicted -
+	0	5
-	22	229

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	4	1
-	22	0	229

Precision?

0.15384615384615385

Recall?

0.8

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

117.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-sub: 32.0ms (40.9% of total)

ival-div: 14.0ms (17.9% of total)

ival-mult: 9.0ms (11.5% of total)

const: 7.0ms (8.9% of total)

ival-log: 6.0ms (7.7% of total)

ival-exp: 4.0ms (5.1% of total)

ival-add: 4.0ms (5.1% of total)

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

exact: 1.0ms (1.3% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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)

simplify655.0ms (3.7%)

Memory

38.7MiB live, 266.8MiB 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)

localize106.0ms (0.6%)

Memory

-13.4MiB live, 117.5MiB 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	99.7%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	accuracy	75.6%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	74.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

38.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

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

ival-div: 7.0ms (27.8% of total)

ival-mult: 5.0ms (19.8% of total)

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

const: 3.0ms (11.9% of total)

ival-exp: 2.0ms (7.9% of total)

ival-add: 2.0ms (7.9% of total)

ival-sub: 2.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series682.0ms (3.9%)

Memory

-20.9MiB live, 132.8MiB 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
260.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
101.0ms	v	@	0	(log (/ 1 (* 2 v)))
51.0ms	sinTheta_i	@	-inf	(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
6.0ms	v	@	inf	(log (/ 1 (* 2 v)))
3.0ms	cosTheta_i	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite2.1s (11.8%)

Memory

6.7MiB live, 596.9MiB 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)))))

simplify2.2s (12.6%)

Memory

13.4MiB live, 579.0MiB 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)))

eval81.0ms (0.5%)

Memory: 3.6MiB live, 196.5MiB allocated
Compiler: Compiled 28 071 to 2 566 computations (90.9% saved)

prune102.0ms (0.6%)

Memory

14.7MiB live, 244.5MiB 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

99.7%

Counts

786 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.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))))))))
	99.7%	(.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))))
▶	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)))))
▶	4.6%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
	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))))))
	97.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
▶	99.7%	(exp.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))))
▶	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))))
▶	13.2%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	15.4%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 484 to 298 computations (38.4% saved)

simplify190.0ms (1.1%)

Memory

6.4MiB live, 248.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 764×	`lower-*.f64`
2 754×	`lower-*.f32`
2 736×	`lower-fma.f64`
2 730×	`lower-fma.f32`
2 258×	`lower-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	220
0	57	214
1	97	212
2	168	210
3	324	210
4	643	204
5	1047	204
6	1170	204
7	1376	204
8	1802	204
9	2410	204
10	3910	204
11	6249	204
0	8227	204

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (0.7%)

Memory

-3.4MiB live, 228.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(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	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.7%	(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	100.0%	(/.f32 #s(literal 1 binary32) v)
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	accuracy	99.5%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	98.9%	(.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	99.9%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.9%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.8%	(+.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)))
✓	accuracy	99.8%	(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
✓	accuracy	99.7%	(exp.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))))

Samples

69.0ms

256×

valid

Compiler

Compiled 239 to 36 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.2% of total)

ival-div: 9.0ms (18.7% of total)

ival-exp: 9.0ms (18.7% of total)

ival-add: 7.0ms (14.5% of total)

const: 4.0ms (8.3% of total)

ival-log: 3.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.2%)

Memory

25.1MiB live, 61.9MiB allocated

Counts

19 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
9.0ms	v	@	0	(/ cosTheta_O v)
1.0ms	v	@	inf	(exp (* cosTheta_i (/ cosTheta_O v)))
1.0ms	sinTheta_O	@	inf	(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
1.0ms	sinTheta_O	@	0	(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
1.0ms	sinTheta_i	@	-inf	(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))

rewrite410.0ms (2.3%)

Memory

-31.2MiB live, 569.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 658×	`lower-*.f64`
4 648×	`lower-*.f32`
4 514×	`lower-/.f64`
4 504×	`lower-/.f32`
3 622×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	159
0	57	153
1	206	150
2	1546	149
0	8922	149

Stop Event

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

Counts

19 → 836

Calls

Call 1

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

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

simplify452.0ms (2.6%)

Memory

6.0MiB live, 745.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 526×	`lower-fma.f64`
9 526×	`lower-fma.f32`
6 870×	`lower-*.f64`
6 870×	`lower-*.f32`
3 462×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	592	7085
1	1791	6760
2	6183	6549
0	8558	6223

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

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

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

eval148.0ms (0.8%)

Memory: -13.3MiB live, 414.8MiB allocated
Compiler: Compiled 41 207 to 3 688 computations (91.1% saved)

prune200.0ms (1.1%)

Memory

18.0MiB live, 466.3MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 435	15	1 450
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	1 444	16	1 460

Accuracy

99.9%

Counts

1 460 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.6%	(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
	6.3%	(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 1 binary32))
	99.5%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
▶	99.8%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32)))) v)
	99.7%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
	6.1%	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
	98.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
▶	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 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
	97.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
	99.7%	(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 6931/10000 binary32))))
▶	99.5%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	97.5%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	13.2%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 607 to 434 computations (28.5% saved)

simplify420.0ms (2.4%)

Memory

0.8MiB live, 786.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	128	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	3008	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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 (.f32 cosTheta_O cosTheta_O) (.f32 v v))
✓	cost-diff	0	(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v))
✓	cost-diff	160	(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
✓	cost-diff	640	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v))))
✓	cost-diff	0	(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32)))
✓	cost-diff	0	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32)))) v)
✓	cost-diff	64	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
✓	cost-diff	3136	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32))))

Rules

15 074×	`lower-fma.f64`
15 066×	`lower-fma.f32`
4 316×	`lower-*.f64`
4 302×	`lower-*.f32`
2 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	290
0	70	265
1	140	259
2	349	259
3	1030	250
4	2153	248
5	2946	248
6	3530	248
7	4494	248
8	6930	248
0	8151	243

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (0.8%)

Memory

-2.0MiB live, 351.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.8%	(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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	99.7%	(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) v)
✓	accuracy	99.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.7%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	95.7%	(fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v))
✓	accuracy	94.9%	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v))))
✓	accuracy	54.7%	(/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v))
✓	accuracy	42.1%	(/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))
✓	accuracy	99.9%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32)))) v)
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
✓	accuracy	99.8%	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32))))
✓	accuracy	99.8%	(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32)))

Samples

79.0ms

256×

valid

Compiler

Compiled 304 to 44 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 16.0ms (26.7% of total)

ival-div: 14.0ms (23.3% of total)

ival-add: 9.0ms (15% of total)

const: 7.0ms (11.7% of total)

ival-log: 6.0ms (10% of total)

ival-exp: 5.0ms (8.3% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.4%)

Memory

-12.9MiB live, 168.3MiB allocated

Counts

17 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
19.0ms	cosTheta_O	@	inf	(/ (* (* 1/6 (* cosTheta_O (* cosTheta_O cosTheta_O))) cosTheta_i) (* v (* v v)))
2.0ms	cosTheta_i	@	inf	(+ (* 1/2 (/ (* cosTheta_O cosTheta_O) (* v v))) (/ (* (* 1/6 (* cosTheta_O (* cosTheta_O cosTheta_O))) cosTheta_i) (* v (* v v))))
2.0ms	v	@	0	(+ (* cosTheta_i (+ (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O cosTheta_O) (* v v))) (/ (* (* 1/6 (* cosTheta_O (* cosTheta_O cosTheta_O))) cosTheta_i) (* v (* v v))))) (/ cosTheta_O v))) 1)
1.0ms	sinTheta_O	@	0	(+ (+ 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) (neg v))) (log 1/2))
1.0ms	cosTheta_O	@	0	(+ (* 1/2 (/ (* cosTheta_O cosTheta_O) (* v v))) (/ (* (* 1/6 (* cosTheta_O (* cosTheta_O cosTheta_O))) cosTheta_i) (* v (* v v))))

rewrite313.0ms (1.8%)

Memory

12.2MiB live, 686.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 168×	`lower-fma.f64`
4 160×	`lower-fma.f32`
3 956×	`lower-/.f64`
3 942×	`lower-/.f32`
3 750×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	208
0	70	191
1	280	177
2	2390	177
0	8341	177

Stop Event

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

Counts

17 → 560

Calls

Call 1

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

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

simplify375.0ms (2.1%)

Memory

14.6MiB live, 728.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 356×	`lower-fma.f64`
11 356×	`lower-fma.f32`
6 802×	`lower-*.f64`
6 802×	`lower-*.f32`
2 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	635	6372
1	1908	6074
2	6561	5787
0	8174	5535

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

eval144.0ms (0.8%)

Memory: -20.6MiB live, 250.0MiB allocated
Compiler: Compiled 31 609 to 2 713 computations (91.4% saved)

prune136.0ms (0.8%)

Memory

-2.6MiB live, 361.6MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 038	17	1 055
Fresh	6	4	10
Picked	3	2	5
Done	1	0	1
Total	1 048	23	1 071

Accuracy

99.9%

Counts

1 071 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.8%	(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
	2.9%	(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
	2.7%	(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
▶	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	28.0%	(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
	99.5%	(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
▶	99.8%	(/.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
▶	99.6%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
▶	99.1%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
	99.6%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	6.1%	(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
▶	2.8%	(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
	98.9%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 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 binary32)))
	98.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	97.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	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)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	97.5%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
	99.5%	(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))))
	99.7%	(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.5%	(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 917 to 651 computations (29% saved)

simplify576.0ms (3.3%)

Memory

5.8MiB live, 884.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	0	(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))
✓	cost-diff	0	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
✓	cost-diff	3136	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))))
✓	cost-diff	0	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
✓	cost-diff	0	(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	cost-diff	0	(/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
✓	cost-diff	0	(.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v)))
✓	cost-diff	64	(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
✓	cost-diff	160	(fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v v))) (/.f32 cosTheta_O v))
✓	cost-diff	640	(fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v 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	0	(-.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 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))
✓	cost-diff	0	(/.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
✓	cost-diff	3136	(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32))))

Rules

31 310×	`lower-fma.f64`
31 302×	`lower-fma.f32`
5 232×	`lower-*.f64`
5 218×	`lower-*.f32`
4 300×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	329
0	74	305
1	144	301
2	342	297
3	1009	297
4	3084	289
5	4200	287
6	5670	286
0	8039	278

Stop Event

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

Calls

Call 1

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

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

localize147.0ms (0.8%)

Memory

23.9MiB live, 226.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
✓	accuracy	99.8%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.8%	(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32))))
✓	accuracy	99.8%	(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)
✓	accuracy	100.0%	(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	accuracy	100.0%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
✓	accuracy	99.7%	(exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
✓	accuracy	95.7%	(fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v v))) (/.f32 cosTheta_O v))
✓	accuracy	87.5%	(/.f32 cosTheta_i (.f32 v (.f32 v v)))
✓	accuracy	57.8%	(fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.f32 v v)))
✓	accuracy	54.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.8%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	accuracy	99.9%	(/.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
✓	accuracy	99.8%	(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
✓	accuracy	99.8%	(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32))))
✓	accuracy	99.8%	(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))

Samples

82.0ms

256×

valid

Compiler

Compiled 350 to 46 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 15.0ms (25% of total)

ival-mult: 15.0ms (25% of total)

ival-add: 9.0ms (15% of total)

ival-exp: 8.0ms (13.3% of total)

const: 7.0ms (11.7% of total)

ival-log: 3.0ms (5% of total)

ival-sub: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory

-25.2MiB live, 48.5MiB allocated

Counts

20 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
4.0ms	sinTheta_O	@	inf	(- 6931/10000 (/ (+ (* sinTheta_O sinTheta_i) 1) v))
1.0ms	sinTheta_O	@	0	(/ (exp (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v))) v)
0.0ms	sinTheta_i	@	0	(/ (exp (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v))) v)
0.0ms	sinTheta_O	@	-inf	(/ (exp (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v))) v)
0.0ms	sinTheta_O	@	inf	(/ (exp (neg (/ (+ (* sinTheta_O sinTheta_i) 1) v))) v)

rewrite347.0ms (2%)

Memory

21.8MiB live, 582.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 584×	`lower-*.f64`
5 570×	`lower-*.f32`
3 788×	`lower-fma.f64`
3 780×	`lower-fma.f32`
3 522×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	251
0	74	233
1	297	219
2	2436	219
0	8141	218

Stop Event

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

Counts

20 → 699

Calls

Call 1

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

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

simplify436.0ms (2.5%)

Memory

15.8MiB live, 721.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 656×	`lower-fma.f64`
9 656×	`lower-fma.f32`
7 336×	`lower-*.f64`
7 336×	`lower-*.f32`
3 398×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	738	8818
1	2269	8486
2	7689	8233
0	8073	7864

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval137.0ms (0.8%)

Memory: -5.2MiB live, 299.6MiB allocated
Compiler: Compiled 50 027 to 3 993 computations (92% saved)

prune172.0ms (1%)

Memory

-5.1MiB live, 336.2MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 340	7	1 347
Fresh	5	11	16
Picked	1	4	5
Done	0	2	2
Total	1 346	24	1 370

Accuracy

99.9%

Counts

1 370 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.8%	(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
	2.7%	(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
✓	6.3%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	28.0%	(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
	99.5%	(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) v)
	38.5%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.0%	(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)
✓	99.8%	(/.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
✓	99.6%	(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
✓	99.1%	(/.f32 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
	99.6%	(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	2.7%	(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
	98.8%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32)))
	98.7%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
	99.7%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
✓	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	6.3%	(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
	27.5%	(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
	99.5%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	97.5%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
	99.5%	(exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))))
	99.7%	(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
	97.5%	(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 1 294 to 566 computations (56.3% saved)

regimes121.0ms (0.7%)

Memory

-14.3MiB live, 222.7MiB allocated

Counts

50 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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)))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) 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 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.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 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 6931/10000 binary32))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 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 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (log.f32 #s(literal 1/2 binary32)))) v)
(exp.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))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #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 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 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 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 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (.f32 (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 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))))))))

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

Calls

9 calls:

16.0ms	cosTheta_O
14.0ms	(*.f32 sinTheta_i sinTheta_O)
14.0ms	sinTheta_i
14.0ms	(+.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	v

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes104.0ms (0.6%)

Memory

14.6MiB live, 132.3MiB allocated

Counts

38 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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)))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) 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 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.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 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 6931/10000 binary32))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 1/2 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))))

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

Calls

9 calls:

18.0ms	cosTheta_i
17.0ms	sinTheta_O
11.0ms	(+.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))))
10.0ms	cosTheta_O
10.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes133.0ms (0.8%)

Memory

7.2MiB live, 123.2MiB allocated

Counts

34 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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)))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) 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 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.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 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)

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)) v))))

Calls

9 calls:

43.0ms	cosTheta_O
26.0ms	(*.f32 cosTheta_i cosTheta_O)
10.0ms	sinTheta_O
9.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
9.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes104.0ms (0.6%)

Memory

7.2MiB live, 125.4MiB allocated

Counts

27 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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)))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) 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 (exp.f32 (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 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:

30.0ms	(*.f32 cosTheta_i cosTheta_O)
19.0ms	sinTheta_i
10.0ms	v
8.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
8.0ms	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)

regimes141.0ms (0.8%)

Memory

-4.0MiB live, 78.7MiB allocated

Counts

23 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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)))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) 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 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)

Calls

9 calls:

83.0ms	(+.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	sinTheta_i
7.0ms	cosTheta_i
7.0ms	cosTheta_O
6.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`
99.0%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
99.0%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
99.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
99.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes94.0ms (0.5%)

Memory

-12.7MiB live, 63.3MiB allocated

Counts

20 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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)))

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

Calls

9 calls:

28.0ms	(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)))))
24.0ms	cosTheta_i
6.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
6.0ms	cosTheta_O
6.0ms	sinTheta_O

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes83.0ms (0.5%)

Memory

-0.3MiB live, 39.1MiB allocated

Counts

18 → 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) 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:

41.0ms	cosTheta_i
6.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	v
5.0ms	cosTheta_O
5.0ms	sinTheta_i

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes62.0ms (0.4%)

Memory

4.9MiB live, 50.4MiB allocated

Counts

14 → 2

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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (/.f32 (.f32 cosTheta_i cosTheta_i) v) #s(literal -1/2 binary32)))) v))
(fma.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 v cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (/.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O cosTheta_O)) (.f32 v cosTheta_O)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/6 binary32)))) (.f32 v (*.f32 v v)))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (.f32 (.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) cosTheta_i) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (/.f32 cosTheta_O v))) #s(literal 1 binary32))
(fma.f32 cosTheta_i (fma.f32 (/.f32 (.f32 cosTheta_O cosTheta_O) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_i) (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O))) (.f32 (/.f32 cosTheta_i (.f32 v (*.f32 v v))) cosTheta_i) (/.f32 cosTheta_O v))) #s(literal 1 binary32))

Outputs

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

(/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) (*.f32 v (*.f32 v v)))

Calls

9 calls:

27.0ms	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))))
4.0ms	cosTheta_i
4.0ms	v
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
50.4%	3	`(*.f32 cosTheta_i cosTheta_O)`
44.6%	2	`cosTheta_i`
44.2%	2	`cosTheta_O`
38.5%	1	`sinTheta_i`
38.5%	1	`sinTheta_O`
53.2%	2	`v`
38.5%	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)))))`
53.2%	2	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
38.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes6.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

6 → 2

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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v))))

Outputs

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

(*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_i)) cosTheta_i) (*.f32 v (*.f32 v v))))

Calls

2 calls:

3.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
52.5%	2	`v`
52.5%	2	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`

Compiler

Compiled 35 to 25 computations (28.6% saved)

regimes12.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB 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))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))

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

Calls

5 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))))
2.0ms	cosTheta_i
2.0ms	cosTheta_O
2.0ms	v
2.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
38.5%	1	`cosTheta_O`
38.5%	1	`cosTheta_i`
38.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
38.5%	1	`v`
38.5%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes36.0ms (0.2%)

Memory

-16.9MiB live, 22.8MiB 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:

25.0ms	(*.f32 cosTheta_i cosTheta_O)
1.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms	cosTheta_O
1.0ms	cosTheta_i
1.0ms	v

Results

Accuracy	Segments	Branch
6.5%	1	`sinTheta_i`
6.5%	1	`sinTheta_O`
6.5%	1	`cosTheta_O`
6.5%	1	`v`
6.5%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
6.5%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
6.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
6.5%	1	`cosTheta_i`
6.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1316817779818496.0	-421360450928640.0

Compiler

Compiled 33 to 29 computations (12.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1316817779818496.0	-421360450928640.0

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify11.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary32`
36×	`+-commutative_binary32`
26×	`sub-neg_binary32`
20×	`neg-sub0_binary32`
20×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	178
1	99	178
2	120	178
3	141	178
4	160	178
5	168	178
6	170	178

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (log.f32 (*.f32 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)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(if (<=.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))) #s(literal -999999986991104 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))))
(if (<=.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))) #s(literal -999999986991104 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

Outputs
(/.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (log.f32 (*.f32 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)) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(if (<=.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))) #s(literal -999999986991104 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))))
(if (<=.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))))) #s(literal -999999986991104 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)))) (.f32 v (.f32 v v))))
(if (<=.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) v)))) #s(literal -999999986991104 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i)) cosTheta_i) (.f32 v (.f32 v v)))))
(if (<=.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (log.f32 (/.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))))) #s(literal -999999986991104 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (/.f32 (.f32 cosTheta_i (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_i cosTheta_i))) (.f32 v (.f32 v v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

soundness1.7s (9.6%)

Memory

-0.0MiB live, 1 316.2MiB allocated

Rules

11 492×	`lower-fma.f64`
11 492×	`lower-fma.f32`
11 356×	`lower-fma.f64`
11 356×	`lower-fma.f32`
9 656×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	635	6372
1	1908	6074
2	6561	5787
0	8174	5535
0	592	7085
1	1791	6760
2	6183	6549
0	8558	6223
0	38	208
0	70	191
1	280	177
2	2390	177
0	8341	177
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926
0	738	8818
1	2269	8486
2	7689	8233
0	8073	7864
0	32	159
0	57	153
1	206	150
2	1546	149
0	8922	149

Stop Event

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

Compiler

Compiled 592 to 382 computations (35.5% saved)

preprocess90.0ms (0.5%)

Memory

-6.0MiB live, 151.2MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 578 to 286 computations (50.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze496.0ms (2.8%)

sample2.9s (16.4%)

preprocess269.0ms (1.5%)

explain362.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify655.0ms (3.7%)

localize106.0ms (0.6%)

series682.0ms (3.9%)

rewrite2.1s (11.8%)

simplify2.2s (12.6%)

eval81.0ms (0.5%)

prune102.0ms (0.6%)

simplify190.0ms (1.1%)

localize123.0ms (0.7%)

series41.0ms (0.2%)

rewrite410.0ms (2.3%)

simplify452.0ms (2.6%)

eval148.0ms (0.8%)

prune200.0ms (1.1%)

simplify420.0ms (2.4%)

localize135.0ms (0.8%)

series70.0ms (0.4%)

rewrite313.0ms (1.8%)

simplify375.0ms (2.1%)

eval144.0ms (0.8%)

prune136.0ms (0.8%)

simplify576.0ms (3.3%)

localize147.0ms (0.8%)

series34.0ms (0.2%)

rewrite347.0ms (2%)

simplify436.0ms (2.5%)

eval137.0ms (0.8%)

prune172.0ms (1%)

regimes121.0ms (0.7%)

regimes104.0ms (0.6%)

regimes133.0ms (0.8%)

regimes104.0ms (0.6%)

regimes141.0ms (0.8%)

regimes94.0ms (0.5%)

regimes83.0ms (0.5%)

regimes62.0ms (0.4%)

regimes6.0ms (0%)

regimes12.0ms (0.1%)

regimes36.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.7s (9.6%)

preprocess90.0ms (0.5%)

end0.0ms (0%)

Profiling