Metrics for HairBSDF, Mp, lower

analyze578.0ms (3.5%)

Memory

33.6MiB live, 945.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

sample4.3s (26.1%)

Memory

-44.2MiB live, 4 224.5MiB allocated

Samples

2.3s	8 256×	0	valid
25.0ms	134×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

const: 472.0ms (24.3% of total)

ival-add: 358.0ms (18.4% of total)

ival-div: 258.0ms (13.3% of total)

ival-<=: 248.0ms (12.8% of total)

ival-mult: 225.0ms (11.6% of total)

ival-log: 145.0ms (7.5% of total)

ival-sub: 94.0ms (4.8% of total)

ival-exp: 71.0ms (3.7% of total)

ival-and: 55.0ms (2.8% of total)

exact: 16.0ms (0.8% of total)

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

Bogosity

preprocess445.0ms (2.7%)

Memory

-23.4MiB live, 428.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 404×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	481
1	462	447
2	1368	440
3	4990	440
0	21	23
1	50	22
2	137	22
3	456	22
4	1702	22
5	5011	22
0	8123	19

Stop Event

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

Calls

Call 1

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

Outputs

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

explain1.4s (8.2%)

Memory

0.4MiB live, 318.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	1	(-2.0142956337687045e-17 7.566291439943349e-39 -8.859125060153079e-23 6.8884184123510535e-19 8.822356734050629e-11)	35	(-1.7938066710257547e-16 3.30859357006172e-27 -0.1435324102640152 -1.4777899913925216e-20 5.996847437217104e-31)	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
98	3	(-4.918755091970088e-34 4.612425164030043e-10 -8.475736648809686e-19 -5.584016201584377e-33 2.0685545223386725e-6)	30	(-5.772155725472415e-34 1.0647132802658723e-18 -1.0728468567562267e-19 2.4007793428663005e-25 0.0086855199187994)	`(/.f32 (*.f32 sinTheta_i sinTheta_O) 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	8	(-9.253652064289675e-20 5.748280107179844e-37 -3.977001925587643e-19 0.00025917546008713543 0.007498336490243673)	0	-	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
0	0	-	0	-	`cosTheta_O`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	12	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	102
`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	8	4
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	6	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	87

Confusion

	Predicted +	Predicted -
+	0	2
-	26	228

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	1
-	26	3	225

Precision?

0.03333333333333333

Recall?

0.5

Freqs

test

number	freq
0	230
1	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms

512×

valid

Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 14.0ms (28.2% of total)

ival-mult: 9.0ms (18.1% of total)

const: 8.0ms (16.1% of total)

ival-log: 6.0ms (12.1% of total)

ival-exp: 4.0ms (8% of total)

ival-add: 4.0ms (8% of total)

ival-sub: 4.0ms (8% of total)

ival-true: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.5%

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

Compiler

Compiled 30 to 21 computations (30% saved)

simplify454.0ms (2.8%)

Memory

15.9MiB live, 219.9MiB 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×	`accelerator-lowering-fma.f32`
6 404×	`accelerator-lowering-fma.f64`
3 478×	`-lowering-.f32`
3 478×	`-lowering-.f64`
1 904×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	50	124
2	137	124
3	456	124
4	1702	124
5	5011	124
0	8123	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize109.0ms (0.7%)

Memory

-1.6MiB live, 116.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓	accuracy	99.6%	(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓	accuracy	76.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	75.6%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)

Samples

70.0ms

256×

valid

Compiler

Compiled 135 to 23 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

const: 37.0ms (63.5% of total)

ival-div: 7.0ms (12% of total)

ival-mult: 5.0ms (8.6% of total)

ival-log: 3.0ms (5.1% of total)

ival-exp: 2.0ms (3.4% of total)

ival-add: 2.0ms (3.4% of total)

ival-sub: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series91.0ms (0.6%)

Memory

21.0MiB live, 211.7MiB allocated

Counts

7 → 276

Calls

Call 1

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

Outputs
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
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#<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
32.0ms	v	@	0	(log (/ 1 (* 2 v)))
18.0ms	v	@	-inf	(log (/ 1 (* 2 v)))
6.0ms	v	@	inf	(log (/ 1 (* 2 v)))
5.0ms	cosTheta_i	@	0	(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
2.0ms	sinTheta_O	@	0	(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))

rewrite416.0ms (2.5%)

Memory

6.3MiB live, 758.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 370×	`accelerator-lowering-fma.f32`
9 370×	`accelerator-lowering-fma.f64`
4 860×	`/-lowering-/.f32`
4 860×	`/-lowering-/.f64`
3 374×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	134	64
2	1494	64
0	8235	64

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 509

Calls

Call 1

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

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

simplify409.0ms (2.5%)

Memory

-12.1MiB live, 789.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 492×	`accelerator-lowering-fma.f32`
11 492×	`accelerator-lowering-fma.f64`
5 966×	`-lowering-.f32`
5 966×	`-lowering-.f64`
5 234×	`+-lowering-+.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))))))
(* -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_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)
(/ (- (* 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)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))
(- (/ (* 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))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* 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)
(+ (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)))
(/ (* 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))))
(fma.f32 cosTheta_i (fma.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i))) (.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 v v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) #s(literal 1/6 binary32)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_O)) (.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 v v))) (.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #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))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #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))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #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))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #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))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(+.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)))

eval79.0ms (0.5%)

Memory: -6.7MiB live, 184.9MiB allocated
Compiler: Compiled 28 071 to 2 561 computations (90.9% saved)

prune100.0ms (0.6%)

Memory

2.6MiB live, 243.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	773	12	785
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	774	12	786

Accuracy

99.6%

Counts

786 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32))))))))
	89.0%	(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
	99.5%	(/.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
▶	99.5%	(.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_O (neg.f32 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 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
▶	4.8%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
▶	99.5%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.3%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
	99.5%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
▶	12.5%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	99.5%	(exp.f32 (*.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))))
	14.4%	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))

Compiler

Compiled 610 to 390 computations (36.1% saved)

simplify295.0ms (1.8%)

Memory

9.0MiB live, 529.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	64	(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32))
✓	cost-diff	3264	(.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (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	0	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	cost-diff	64	(fma.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v))
✓	cost-diff	416	(fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓	cost-diff	2944	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))

Rules

10 422×	`accelerator-lowering-fma.f32`
10 422×	`accelerator-lowering-fma.f64`
3 694×	`-lowering-.f32`
3 694×	`-lowering-.f64`
1 724×	`exp-sum`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	303
1	100	288
2	237	278
3	737	266
4	2644	266
5	7231	266
0	8414	255

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize143.0ms (0.9%)

Memory

14.8MiB live, 294.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	accuracy	99.5%	(exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v))
✓	accuracy	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	100.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.5%	(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%	(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(exp.f32 #s(literal 6931/10000 binary32))
✓	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	99.7%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.9%	(fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (*.f32 v v))
✓	accuracy	99.6%	(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓	accuracy	58.3%	(fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))

Samples

81.0ms

256×

valid

Compiler

Compiled 287 to 47 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 18.0ms (30.8% of total)

ival-div: 12.0ms (20.5% of total)

ival-exp: 12.0ms (20.5% of total)

ival-add: 7.0ms (12% of total)

const: 4.0ms (6.8% of total)

ival-log: 3.0ms (5.1% of total)

ival-neg: 2.0ms (3.4% of total)

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

exact: 1.0ms (1.7% of total)

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

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

series109.0ms (0.7%)

Memory

9.9MiB live, 201.7MiB allocated

Counts

22 → 768

Calls

Call 1

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

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

Calls

192 calls:

Time	Variable		Point	Expression
19.0ms	v	@	0	(* (exp 6931/10000) (* 1/2 (/ 1 v)))
4.0ms	v	@	inf	(exp (+ (* (+ (* (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) v) (neg v)) (/ 1 (* v v))) (- 6931/10000 (log (* v 2)))))
4.0ms	v	@	inf	(+ (* (+ (* (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) v) (neg v)) (/ 1 (* v v))) (- 6931/10000 (log (* v 2))))
3.0ms	cosTheta_i	@	0	(+ (* (+ (* (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) v) (neg v)) (/ 1 (* v v))) (- 6931/10000 (log (* v 2))))
3.0ms	v	@	-inf	(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))

rewrite458.0ms (2.8%)

Memory

10.8MiB live, 877.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 490×	`-lowering-.f32`
4 490×	`-lowering-.f64`
4 438×	`/-lowering-/.f32`
4 438×	`/-lowering-/.f64`
2 886×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	212
1	229	197
2	1906	192
0	9828	179

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 106

Calls

Call 1

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

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

simplify579.0ms (3.5%)

Memory

-10.8MiB live, 1 102.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 062×	`accelerator-lowering-fma.f32`
10 062×	`accelerator-lowering-fma.f64`
9 296×	`-lowering-.f32`
9 296×	`-lowering-.f64`
4 674×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	956	12188
1	3085	11350
0	9039	10749

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 768

Calls

Call 1

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

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

eval223.0ms (1.4%)

Memory: 21.9MiB live, 637.9MiB allocated
Compiler: Compiled 78 824 to 5 158 computations (93.5% saved)

prune306.0ms (1.9%)

Memory

-6.4MiB live, 705.7MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 931	23	1 954
Fresh	5	2	7
Picked	4	1	5
Done	0	0	0
Total	1 940	26	1 966

Accuracy

99.8%

Counts

1 966 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	60.0%	(/.f32 (exp.f32 (/.f32 (/.f32 (.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 (-.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
	99.5%	(/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))))
	99.5%	(/.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	12.8%	(.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
▶	99.5%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
▶	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
▶	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	99.5%	(.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)) v)))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))))
	99.5%	(exp.f32 (fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
	96.3%	(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
	12.8%	(exp.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
	14.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	99.5%	(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)))))
	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))))
	12.8%	(exp.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)))
✓	12.5%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
▶	12.8%	(exp.f32 (.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))))
	99.5%	(exp.f32 (neg.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.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)))) cosTheta_O))))))
▶	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1 203 to 802 computations (33.3% saved)

simplify239.0ms (1.5%)

Memory

8.5MiB live, 325.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 v #s(literal 2 binary32))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	3264	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	cost-diff	0	(neg.f32 cosTheta_O)
✓	cost-diff	0	(.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(exp.f32 (.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	160	(*.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	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	2848	(exp.f32 #s(literal -1 binary32))

Rules

3 194×	`accelerator-lowering-fma.f32`
3 194×	`accelerator-lowering-fma.f64`
3 026×	`-lowering-.f32`
3 026×	`-lowering-.f64`
1 656×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	253
1	84	242
2	197	234
3	450	234
4	807	234
5	1386	234
6	2128	234
7	2805	234
8	3617	234
9	4404	234
10	5537	234
11	6320	234
12	7059	234
13	7738	234
0	8068	221

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize148.0ms (0.9%)

Memory

-1.6MiB live, 231.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
✓	accuracy	99.5%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
✓	accuracy	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	99.5%	(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(neg.f32 cosTheta_O)
✓	accuracy	99.7%	(exp.f32 (.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.2%	(.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.2%	(*.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.5%	(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	90.5%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32))))

Samples

80.0ms

256×

valid

Compiler

Compiled 240 to 43 computations (82.1% saved)

Precisions

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

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

ival-exp: 13.0ms (21.7% of total)

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

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

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

const: 4.0ms (6.7% of total)

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

ival-neg: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series119.0ms (0.7%)

Memory

-4.3MiB live, 227.7MiB allocated

Counts

20 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
26.0ms	v	@	0	(* (pow (exp -1) (log (* v 2))) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
20.0ms	sinTheta_O	@	inf	(* (pow (exp -1) (log (* v 2))) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
15.0ms	v	@	-inf	(pow (exp -1) (log (* v 2)))
14.0ms	sinTheta_i	@	inf	(* (pow (exp -1) (log (* v 2))) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
5.0ms	v	@	inf	(pow (exp -1) (log (* v 2)))

rewrite341.0ms (2.1%)

Memory

8.7MiB live, 483.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 086×	`accelerator-lowering-fma.f32`
7 086×	`accelerator-lowering-fma.f64`
4 020×	`/-lowering-/.f32`
4 020×	`/-lowering-/.f64`
3 770×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	169
1	200	155
2	1345	146
0	8476	140

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 687

Calls

Call 1

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

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

simplify404.0ms (2.5%)

Memory

21.5MiB live, 737.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 724×	`-lowering-.f32`
8 724×	`-lowering-.f64`
8 492×	`accelerator-lowering-fma.f32`
8 492×	`accelerator-lowering-fma.f64`
3 400×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	828	8695
1	2596	8246
0	8653	7764

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

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

eval132.0ms (0.8%)

Memory: -6.7MiB live, 244.3MiB allocated
Compiler: Compiled 30 015 to 3 102 computations (89.7% saved)

prune171.0ms (1%)

Memory

-26.4MiB live, 368.4MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 349	15	1 364
Fresh	6	14	20
Picked	4	1	5
Done	0	1	1
Total	1 359	31	1 390

Accuracy

99.8%

Counts

1 390 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i) #s(literal 1 binary32))
▶	6.4%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
	60.0%	(/.f32 (exp.f32 (/.f32 (/.f32 (.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 (-.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
	99.5%	(/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	12.8%	(.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
	99.5%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 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)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
	99.4%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32)))))
▶	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
	99.5%	(.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
	99.5%	(.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)) v)))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) 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 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
▶	99.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
	99.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	99.5%	(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
	96.3%	(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
	12.8%	(exp.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
	14.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	99.5%	(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)))))
	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))))
	12.8%	(exp.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)))
✓	12.5%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	99.5%	(exp.f32 (neg.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.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)))) cosTheta_O))))))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 1 469 to 982 computations (33.2% saved)

simplify205.0ms (1.2%)

Memory

19.9MiB live, 224.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 v #s(literal 2 binary32))
✓	cost-diff	0	(exp.f32 #s(literal 6931/10000 binary32))
✓	cost-diff	0	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #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 cosTheta_i v)
✓	cost-diff	0	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	cost-diff	0	(pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))
✓	cost-diff	0	(.f32 (.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
✓	cost-diff	3200	(exp.f32 #s(literal 1 binary32))
✓	cost-diff	9952	(.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)))

Rules

3 258×	`accelerator-lowering-fma.f32`
3 258×	`accelerator-lowering-fma.f64`
2 438×	`-lowering-.f32`
2 438×	`-lowering-.f64`
1 308×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	295
1	88	287
2	163	277
3	262	277
4	400	277
5	724	277
6	1100	277
7	1470	277
8	2238	277
9	4699	277
10	6947	277
11	7461	277
12	7717	277
13	7914	277
14	7994	277
0	8001	262

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2)) (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)))
(* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2))
(pow (* (* v 2) (exp -6931/10000)) -1/2)
(* (* v 2) (exp -6931/10000))
(* v 2)
v
2
(exp -6931/10000)
-6931/10000
-1/2
(pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v))
(exp 1)
1
(/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)
(+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
(+ (* cosTheta_i cosTheta_O) -1)
cosTheta_i
cosTheta_O
-1
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
1
(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(* (/ (exp 6931/10000) (* v 2)) (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
6931/10000
(* v 2)
v
2
(pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(E)
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1
(* (* (/ 1/2 v) (exp 6931/10000)) (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)))
(* (/ 1/2 v) (exp 6931/10000))
(/ 1/2 v)
1/2
v
(exp 6931/10000)
6931/10000
(pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v))
(exp 1)
1
(/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)
(+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
(+ (* cosTheta_i cosTheta_O) -1)
cosTheta_i
cosTheta_O
-1

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

localize152.0ms (0.9%)

Memory

14.9MiB live, 285.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
✓	accuracy	100.0%	(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
✓	accuracy	99.5%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
✓	accuracy	98.9%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
✓	accuracy	100.0%	(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓	accuracy	100.0%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓	accuracy	99.5%	(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓	accuracy	99.0%	(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) v)
✓	accuracy	100.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	99.9%	(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓	accuracy	99.5%	(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.9%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓	accuracy	99.6%	(pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))
✓	accuracy	99.5%	(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
✓	accuracy	99.0%	(.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32)))
✓	accuracy	98.2%	(.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)))

Samples

94.0ms

256×

valid

Compiler

Compiled 292 to 46 computations (84.2% saved)

Precisions

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

ival-mult: 18.0ms (26.6% of total)

ival-exp: 12.0ms (17.7% of total)

ival-pow: 12.0ms (17.7% of total)

ival-div: 10.0ms (14.8% of total)

const: 7.0ms (10.3% of total)

ival-add: 6.0ms (8.9% of total)

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

exact: 1.0ms (1.5% of total)

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

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

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

series102.0ms (0.6%)

Memory

5.8MiB live, 200.2MiB allocated

Counts

22 → 540

Calls

Call 1

Inputs
#<alt (* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2))>
#<alt (exp 1)>
#<alt (* (* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2)) (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)))>
#<alt (pow (* (* v 2) (exp -6931/10000)) -1/2)>
#<alt (+ (* cosTheta_O (/ cosTheta_i v)) 1)>
#<alt (/ cosTheta_i v)>
#<alt (* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))>
#<alt (/ 1/2 v)>
#<alt (exp (+ 6931/10000 (/ -1 v)))>
#<alt (+ 6931/10000 (/ -1 v))>
#<alt (* (/ (exp 6931/10000) (* v 2)) (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))>
#<alt (/ (exp 6931/10000) (* v 2))>
#<alt (exp 6931/10000)>
#<alt (* v 2)>
#<alt (* (* (/ 1/2 v) (exp 6931/10000)) (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)))>
#<alt (* (/ 1/2 v) (exp 6931/10000))>
#<alt (* (* v 2) (exp -6931/10000))>
#<alt (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v))>
#<alt (/ -1 v)>
#<alt (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) -1) v)>
#<alt (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)>

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

Calls

135 calls:

Time	Variable		Point	Expression
47.0ms	v	@	0	(* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2))
6.0ms	cosTheta_i	@	inf	(* (/ (exp 6931/10000) (* v 2)) (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
5.0ms	cosTheta_O	@	0	(* (/ (exp 6931/10000) (* v 2)) (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
3.0ms	v	@	0	(pow (* (* v 2) (exp -6931/10000)) -1/2)
1.0ms	v	@	inf	(* (/ (exp 6931/10000) (* v 2)) (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))

rewrite291.0ms (1.8%)

Memory

-17.5MiB live, 494.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 802×	`accelerator-lowering-fma.f32`
3 802×	`accelerator-lowering-fma.f64`
3 734×	`-lowering-.f32`
3 734×	`-lowering-.f64`
3 486×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	185
1	231	175
2	1494	163
0	8617	155

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 865

Calls

Call 1

Inputs
(* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2))
(exp 1)
(* (* (pow (* (* v 2) (exp -6931/10000)) -1/2) (pow (* (* v 2) (exp -6931/10000)) -1/2)) (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)))
(pow (* (* v 2) (exp -6931/10000)) -1/2)
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(/ cosTheta_i v)
(* (/ 1/2 v) (exp (+ 6931/10000 (/ -1 v))))
(/ 1/2 v)
(exp (+ 6931/10000 (/ -1 v)))
(+ 6931/10000 (/ -1 v))
(* (/ (exp 6931/10000) (* v 2)) (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
(* v 2)
(* (* (/ 1/2 v) (exp 6931/10000)) (pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)))
(* (/ 1/2 v) (exp 6931/10000))
(* (* v 2) (exp -6931/10000))
(pow (exp 1) (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v))
(/ -1 v)
(pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_i cosTheta_O) -1)) v)

Outputs
(neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(exp.f32 (.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))) #s(literal 2 binary32)))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))))
(pow.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (exp.f32 #s(literal 6931/20000 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 #s(literal -6931/5000 binary32))) #s(literal -1/2 binary32))
(pow.f32 (.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/4 binary32)) (exp.f32 #s(literal 6931/40000 binary32))) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 #s(literal -6931/5000 binary32))) (.f32 (.f32 (.f32 v #s(literal 2 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 #s(literal -6931/5000 binary32)))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))) #s(literal -1/2 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 v #s(literal -2 binary32))) (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(/.f32 #s(literal 1 binary32) (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 v #s(literal -2 binary32)))
(/.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) #s(literal 2 binary32))
(/.f32 (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))) v)
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 v)))
(.f32 (.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (exp.f32 #s(literal 6931/20000 binary32))) (.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (exp.f32 #s(literal 6931/20000 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v))
(.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 v (*.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -2 binary32)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (exp.f32 (+.f32 #s(literal 6931/20000 binary32) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))))))
(.f32 (exp.f32 #s(literal 6931/20000 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v (*.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))))) #s(literal -1/2 binary32)))
(.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v #s(literal -2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32)))
(.f32 (.f32 (pow.f32 (.f32 v #s(literal 2 binary32)) #s(literal -1/4 binary32)) (exp.f32 #s(literal 6931/40000 binary32))) (pow.f32 (.f32 v (*.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -3/4 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))
(.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))) (.f32 v (*.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))))) #s(literal -1/2 binary32)))
(.f32 (neg.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (neg.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) #s(literal -1/2 binary32))
(.f32 (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal 1 binary32) v))
(.f32 (pow.f32 (.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32))) #s(literal -1/2 binary32)) (exp.f32 #s(literal 6931/20000 binary32)))
(.f32 (pow.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) #s(literal -3/4 binary32)) (.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/4 binary32)) (exp.f32 #s(literal 6931/40000 binary32))))
(.f32 (.f32 (exp.f32 #s(literal 6931/10000 binary32)) #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))) (/.f32 #s(literal -1 binary32) v))
(.f32 (pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(.f32 (pow.f32 (.f32 (exp.f32 #s(literal -6931/10000 binary32)) v) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(.f32 (pow.f32 (.f32 v v) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) v) #s(literal -1/2 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (.f32 (.f32 v (.f32 #s(literal 2 binary32) (exp.f32 #s(literal -6931/10000 binary32)))) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) v))
(E.f32)
(exp.f32 #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (E.f32) (*.f32 (E.f32) (E.f32)))) #s(literal 1/3 binary32)))
(fabs.f32 (E.f32))
(pow.f32 (E.f32) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal 1/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (E.f32) (E.f32)) #s(literal 1/2 binary32))
(pow.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))) #s(literal 1/3 binary32))
(pow.f32 (sqrt.f32 (E.f32)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (E.f32) (E.f32)))
(cbrt.f32 (.f32 (E.f32) (.f32 (E.f32) (E.f32))))
(*.f32 #s(literal 1 binary32) (E.f32))
(*.f32 (E.f32) #s(literal 1 binary32))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (exp.f32 #s(literal 2/3 binary32)))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (log.f32 (exp.f32 (exp.f32 #s(literal 2/3 binary32)))))
(*.f32 (exp.f32 #s(literal 1/3 binary32)) (sqrt.f32 (pow.f32 (E.f32) #s(literal 4/3 binary32))))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (exp.f32 #s(literal 1/3 binary32)))
(*.f32 (exp.f32 #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (E.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (E.f32)) (sqrt.f32 (E.f32)))
(*.f32 (sqrt.f32 (E.f32)) (log.f32 (exp.f32 (sqrt.f32 (E.f32)))))
(.f32 (sqrt.f32 (sqrt.f32 (E.f32))) (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (exp.f32 #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (exp.f32 #s(literal 1/3 binary32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (E.f32))) #s(literal 3 binary32)))
(.f32 (pow.f32 (.f32 (E.f32) (sqrt.f32 (E.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32))) #s(literal 1/3 binary32)))
(.f32 (pow.f32 (.f32 (*.f32 (E.f32) (E.f32)) (exp.f32 #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (exp.f32 #s(literal 1/3 binary32))))
(.f32 (pow.f32 (.f32 (*.f32 (E.f32) (E.f32)) (sqrt.f32 (E.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (E.f32))))
(.f32 (cbrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (cbrt.f32 (*.f32 (E.f32) (sqrt.f32 (E.f32)))))
(.f32 (cbrt.f32 (.f32 (*.f32 (E.f32) (E.f32)) (exp.f32 #s(literal 2/3 binary32)))) (cbrt.f32 (exp.f32 #s(literal 1/3 binary32))))
(.f32 (cbrt.f32 (.f32 (*.f32 (E.f32) (E.f32)) (sqrt.f32 (E.f32)))) (cbrt.f32 (sqrt.f32 (E.f32))))
(.f32 (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (sqrt.f32 (sqrt.f32 (E.f32))))
(.f32 (sqrt.f32 (cbrt.f32 (.f32 (.f32 (E.f32) (E.f32)) (.f32 (E.f32) (E.f32))))) (exp.f32 #s(literal 1/3 binary32)))
(.f32 (sqrt.f32 (.f32 (E.f32) (exp.f32 #s(literal 2/3 binary32)))) (pow.f32 (E.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (E.f32)))
(exp.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))))
(exp.f32 (fma.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(exp.f32 (fma.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(exp.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))) #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(exp.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 (.f32 #s(literal 2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))) #s(literal 2 binary32))))
(exp.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))))))
(exp.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)))))
(pow.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)) (.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))))
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(.f32 (/.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 cosTheta_i cosTheta_O) (.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (neg.f32 (.f32 cosTheta_i cosTheta_O)))))
(.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta_i cosTheta_O #s(literal 1 binary32))))
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(pow.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) #s(literal -1 binary32))
(-.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(-.f32 (/.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) v) (/.f32 (/.f32 (.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) v))
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(/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (*.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))))
(/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)
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(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v))
(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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)))))) (neg.f32 (.f32 v (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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)))))) (neg.f32 (.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) (neg.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) (neg.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v)))
(/.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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))))) v) (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))))
(/.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (*.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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))))) v)) (neg.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (*.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v)) (neg.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
(.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))))))
(*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))))
(.f32 (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) v))
(.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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 #s(literal 1 binary32) (.f32 v (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))))))
(.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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 #s(literal 1 binary32) (.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))
(.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))))))
(.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v)))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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))))) v) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) v) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))))
(.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.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)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))))
(.f32 (pow.f32 (/.f32 v (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i) (.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (neg.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))))
(.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (fma.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (+.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))))

simplify487.0ms (3%)

Memory

35.2MiB live, 666.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 814×	`-lowering-.f32`
8 814×	`-lowering-.f64`
7 286×	`accelerator-lowering-fma.f32`
7 286×	`accelerator-lowering-fma.f64`
3 074×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	801	8951
1	2641	8248
0	8287	7688

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 540

Calls

Call 1

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

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

eval174.0ms (1.1%)

Memory: -21.5MiB live, 393.4MiB allocated
Compiler: Compiled 47 549 to 3 316 computations (93% saved)

prune295.0ms (1.8%)

Memory

-1.2MiB live, 474.5MiB allocated

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1 839	22	1 861
Fresh	11	13	24
Picked	4	1	5
Done	0	2	2
Total	1 854	38	1 892

Accuracy

99.9%

Counts

1 892 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.4%	(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) #s(literal 1 binary32))
	99.5%	(pow.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32))
	6.4%	(/.f32 (fma.f32 cosTheta_O cosTheta_i v) v)
	39.2%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
	99.5%	(/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
	99.5%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
	99.5%	(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
	99.5%	(.f32 (pow.f32 (.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/4 binary32)) (exp.f32 #s(literal 6931/40000 binary32))) #s(literal 4 binary32)) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	12.8%	(.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
	99.5%	(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 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)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
	99.5%	(.f32 (/.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal -6931/10000 binary32))))
	99.4%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 v #s(literal 2 binary32)))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 v #s(literal 2 binary32))))) (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 v #s(literal 2 binary32)))))))
	99.5%	(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
	99.5%	(.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
	99.5%	(.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))))))
	99.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
	96.6%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓	99.5%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
	6.3%	(*.f32 (+.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
	6.4%	(*.f32 (+.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
	99.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (.f32 (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (sqrt.f32 (sqrt.f32 (E.f32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
	99.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	99.5%	(.f32 (exp.f32 (fma.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32) (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32))))
	99.5%	(.f32 (exp.f32 (.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
	96.3%	(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
	12.8%	(exp.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
	14.4%	(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
	12.5%	(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
	99.5%	(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)))))
	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))))
	12.8%	(exp.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)))
✓	12.5%	(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
	99.5%	(exp.f32 (neg.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.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)))) cosTheta_O))))))
✓	6.5%	#s(literal 1 binary32)

Compiler

Compiled 2 199 to 917 computations (58.3% saved)

regimes194.0ms (1.2%)

Memory

-9.4MiB live, 318.5MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i v) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(fma.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i) #s(literal 1 binary32))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) #s(literal 1 binary32))
(*.f32 (+.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) 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 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))))
(exp.f32 (-.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) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))))
(.f32 (/.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32)))))
(exp.f32 (neg.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.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)))) cosTheta_O))))))
(exp.f32 (*.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))))
(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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (.f32 (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (sqrt.f32 (sqrt.f32 (E.f32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(.f32 (exp.f32 (.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal -6931/10000 binary32))))
(.f32 (exp.f32 (fma.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32) (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/4 binary32)) (exp.f32 #s(literal 6931/40000 binary32))) #s(literal 4 binary32)) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 v #s(literal 2 binary32))))) (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 v #s(literal 2 binary32)))))))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 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)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 48038761/100000000 binary32) (pow.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(/.f32 (exp.f32 (/.f32 (.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) #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_O (neg.f32 sinTheta_i))) #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 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 (-.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (-.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))

Outputs

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

Calls

9 calls:

34.0ms	(*.f32 sinTheta_i sinTheta_O)
24.0ms	(+.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))))
22.0ms	sinTheta_O
19.0ms	cosTheta_O
19.0ms	v

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)

regimes165.0ms (1%)

Memory

-3.2MiB live, 404.8MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i v) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(fma.f32 (/.f32 cosTheta_O v) (neg.f32 cosTheta_i) #s(literal 1 binary32))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) #s(literal 1 binary32))
(*.f32 (+.f32 (neg.f32 (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (.f32 cosTheta_i (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) 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 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))))
(exp.f32 (-.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) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(exp.f32 (fma.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v))))
(.f32 (/.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.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_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (fma.f32 (fma.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v (neg.f32 v)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (.f32 (E.f32) (E.f32)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32)))))
(exp.f32 (neg.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.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)))) cosTheta_O))))))
(exp.f32 (*.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))))
(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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (.f32 (sqrt.f32 (.f32 (E.f32) (sqrt.f32 (E.f32)))) (sqrt.f32 (sqrt.f32 (E.f32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(.f32 (exp.f32 (.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (exp.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) (.f32 #s(literal -1/2 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32))))) #s(literal 2 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (.f32 v #s(literal 2 binary32))))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v)))))
(.f32 (/.f32 (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) v))) (exp.f32 #s(literal -6931/10000 binary32))))
(.f32 (exp.f32 (fma.f32 (+.f32 (log.f32 (.f32 v #s(literal 2 binary32))) #s(literal -6931/10000 binary32)) #s(literal -1 binary32) (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32)))) (exp.f32 (.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/4 binary32)) (exp.f32 #s(literal 6931/40000 binary32))) #s(literal 4 binary32)) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 binary32)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (exp.f32 (-.f32 (+.f32 (/.f32 (.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (.f32 v v)) #s(literal 6931/10000 binary32)) (log.f32 v))) (exp.f32 (log.f32 #s(literal 2 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (.f32 (pow.f32 (exp.f32 #s(literal 2/3 binary32)) (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (.f32 v #s(literal 2 binary32))))) (exp.f32 (.f32 #s(literal 2/3 binary32) (/.f32 (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)) (*.f32 v #s(literal 2 binary32)))))))
(.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (.f32 v #s(literal 2 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)) v)))) (exp.f32 (/.f32 (/.f32 (.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) (.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32)))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))))

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

Calls

9 calls:

20.0ms	cosTheta_O
19.0ms	sinTheta_i
19.0ms	sinTheta_O
19.0ms	v
18.0ms	cosTheta_i

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)

regimes96.0ms (0.6%)

Memory

-21.9MiB live, 136.0MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

9 calls:

21.0ms	sinTheta_i
10.0ms	(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)))))
9.0ms	(*.f32 sinTheta_i sinTheta_O)
9.0ms	cosTheta_i
9.0ms	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)

regimes73.0ms (0.4%)

Memory

22.8MiB live, 142.7MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

9 calls:

10.0ms	cosTheta_i
9.0ms	sinTheta_O
8.0ms	sinTheta_i
8.0ms	cosTheta_O
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))))

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes68.0ms (0.4%)

Memory

2.8MiB live, 161.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

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:

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

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes53.0ms (0.3%)

Memory

9.2MiB live, 127.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

9 calls:

6.0ms	sinTheta_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	(*.f32 cosTheta_i cosTheta_O)
6.0ms	cosTheta_i
6.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta_i`
96.6%	1	`cosTheta_O`
96.6%	1	`sinTheta_i`
96.6%	1	`sinTheta_O`
96.6%	1	`v`
96.6%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
96.6%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
96.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
96.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes75.0ms (0.5%)

Memory

-30.5MiB live, 93.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

9 calls:

28.0ms	cosTheta_i
7.0ms	v
7.0ms	(*.f32 sinTheta_i sinTheta_O)
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	sinTheta_O

Results

Accuracy	Segments	Branch
96.3%	1	`cosTheta_i`
96.3%	1	`cosTheta_O`
96.3%	1	`sinTheta_i`
96.3%	1	`sinTheta_O`
96.3%	1	`v`
96.3%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
96.3%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
96.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
96.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes90.0ms (0.6%)

Memory

22.5MiB live, 61.7MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

9 calls:

51.0ms	sinTheta_i
5.0ms	(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms	v
5.0ms	cosTheta_O
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
43.1%	2	`cosTheta_i`
47.7%	3	`cosTheta_O`
39.2%	1	`sinTheta_i`
39.2%	1	`sinTheta_O`
39.2%	1	`v`
39.2%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
39.2%	1	`(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))`
51.7%	3	`(*.f32 cosTheta_i cosTheta_O)`
39.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes4.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
51.7%	3	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
45.4%	2	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes32.0ms (0.2%)

Memory

-36.3MiB live, 4.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
45.4%	2	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	cosTheta_O
3.0ms	cosTheta_i
3.0ms	(*.f32 cosTheta_i cosTheta_O)
2.0ms	(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)))))

Results

Accuracy	Segments	Branch
39.2%	1	`(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))`
39.2%	1	`cosTheta_i`
39.2%	1	`cosTheta_O`
39.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 50 to 37 computations (26% saved)

regimes12.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB 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:

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	sinTheta_O
1.0ms	v
1.0ms	cosTheta_i
1.0ms	cosTheta_O

Results

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

Compiler

Compiled 105 to 78 computations (25.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.630149220412388e-35	2.6956464577677396e-35
0.0ms	-3.931159036146306e-35	-2.8107923857239584e-35

Compiler

Compiled 33 to 29 computations (12.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.630149220412388e-35	2.6956464577677396e-35
0.0ms	-3.931159036146306e-35	-2.8107923857239584e-35

Compiler

Compiled 33 to 29 computations (12.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.931159036146306e-35	-2.8107923857239584e-35

Compiler

Compiled 33 to 29 computations (12.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.931159036146306e-35	-2.8107923857239584e-35

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify84.0ms (0.5%)

Memory

-23.3MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary32`
18×	`+-commutative_binary32`
16×	`neg-sub0_binary32`
16×	`neg-mul-1_binary32`
16×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	197
1	98	197
2	113	197
3	131	197
4	141	197
5	146	197
6	147	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

Outputs
(.f32 (.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (.f32 (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 #s(literal -6931/10000 binary32))) #s(literal -1/2 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_i cosTheta_O #s(literal -1 binary32))) v)))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (.f32 v #s(literal 2 binary32))) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (/.f32 cosTheta_i v) (neg.f32 cosTheta_O)))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 cosTheta_i (/.f32 (neg.f32 cosTheta_O) v)))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 6968983/348449143727040986586495598010130648530944 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))))))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(if (<=.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -5226737/174224571863520493293247799005065324265472 binary32)) (exp.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
#s(literal 1 binary32)

soundness1.5s (9.4%)

Memory

33.2MiB live, 1 014.6MiB allocated

Rules

11 492×	`accelerator-lowering-fma.f32`
11 492×	`accelerator-lowering-fma.f64`
10 062×	`accelerator-lowering-fma.f32`
10 062×	`accelerator-lowering-fma.f64`
9 370×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	311	4798
1	994	4672
2	3452	4151
0	8213	3926
0	956	12188
1	3085	11350
0	9039	10749
0	801	8951
1	2641	8248
0	8287	7688
0	41	169
1	200	155
2	1345	146
0	8476	140
0	21	71
1	134	64
2	1494	64
0	8235	64
0	44	185
1	231	175
2	1494	163
0	8617	155
0	45	212
1	229	197
2	1906	192
0	9828	179

Stop Event

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

Compiler

Compiled 812 to 539 computations (33.6% saved)

preprocess231.0ms (1.4%)

Memory

-22.3MiB live, 256.4MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1 024 to 518 computations (49.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze578.0ms (3.5%)

sample4.3s (26.1%)

preprocess445.0ms (2.7%)

explain1.4s (8.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify454.0ms (2.8%)

localize109.0ms (0.7%)

series91.0ms (0.6%)

rewrite416.0ms (2.5%)

simplify409.0ms (2.5%)

eval79.0ms (0.5%)

prune100.0ms (0.6%)

simplify295.0ms (1.8%)

localize143.0ms (0.9%)

series109.0ms (0.7%)

rewrite458.0ms (2.8%)

simplify579.0ms (3.5%)

eval223.0ms (1.4%)

prune306.0ms (1.9%)

simplify239.0ms (1.5%)

localize148.0ms (0.9%)

series119.0ms (0.7%)

rewrite341.0ms (2.1%)

simplify404.0ms (2.5%)

eval132.0ms (0.8%)

prune171.0ms (1%)

simplify205.0ms (1.2%)

localize152.0ms (0.9%)

series102.0ms (0.6%)

rewrite291.0ms (1.8%)

simplify487.0ms (3%)

eval174.0ms (1.1%)

prune295.0ms (1.8%)

regimes194.0ms (1.2%)

regimes165.0ms (1%)

regimes96.0ms (0.6%)

regimes73.0ms (0.4%)

regimes68.0ms (0.4%)

regimes53.0ms (0.3%)

regimes75.0ms (0.5%)

regimes90.0ms (0.6%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes32.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify84.0ms (0.5%)

soundness1.5s (9.4%)

preprocess231.0ms (1.4%)

end0.0ms (0%)

Profiling