Metrics for HairBSDF, Mp, upper

analyze1.3s (6.5%)

Memory

-13.5MiB live, 922.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
0%	0%	0%	100%	0%	0%	0%	8
0%	0%	0%	100%	0%	0%	0%	9
0%	0%	0%	100%	0%	0%	0%	10
50%	0%	0%	100%	0%	0%	0%	11
50%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.3s (11%)

Memory

50.2MiB live, 4 509.7MiB allocated

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 292.0ms (22% of total)

ival-<=: 236.0ms (17.8% of total)

ival-div: 234.0ms (17.6% of total)

const: 228.0ms (17.2% of total)

ival-sinh: 121.0ms (9.1% of total)

ival-exp: 83.0ms (6.3% of total)

ival-and: 51.0ms (3.8% of total)

ival-neg: 41.0ms (3.1% of total)

ival-<: 21.0ms (1.6% of total)

exact: 16.0ms (1.2% of total)

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

Bogosity

preprocess298.0ms (1.4%)

Memory

-0.6MiB live, 470.6MiB allocated

Algorithm

2×	egg-herbie

Rules

6 182×	`-lowering-.f32`
6 182×	`-lowering-.f64`
2 208×	`accelerator-lowering-fma.f32`
2 208×	`accelerator-lowering-fma.f64`
2 152×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	479
1	539	459
2	2082	441
0	19	22
1	55	22
2	185	21
3	769	21
4	3043	21
5	3715	21
6	5458	21
0	8267	21

Stop Event

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

Calls

Call 1

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

Outputs

(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))

Call 2

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v))))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_O cosTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* cosTheta_i sinTheta_O) v))) (/ (* sinTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_i) v))) (/ (* sinTheta_O cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_i))) (/ (* v cosTheta_O) cosTheta_i)) (* (* (sinh (/ 1 cosTheta_i)) 2) cosTheta_i))
(/ (* (exp (neg (/ (* cosTheta_O sinTheta_O) v))) (/ (* cosTheta_i sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_O) v))) (/ (* cosTheta_i sinTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_O))) (/ (* cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 cosTheta_O)) 2) cosTheta_O))
(/ (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* v sinTheta_O) sinTheta_i))) (/ (* cosTheta_i cosTheta_O) sinTheta_i)) (* (* (sinh (/ 1 sinTheta_i)) 2) sinTheta_i))
(/ (* (exp (neg (/ (* sinTheta_i v) sinTheta_O))) (/ (* cosTheta_i cosTheta_O) sinTheta_O)) (* (* (sinh (/ 1 sinTheta_O)) 2) sinTheta_O))

Outputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v 2) v))))
(/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v 2) v))))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v)))
(/ (* (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ -1 v)) (* v 2)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v)))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(neg (/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))))
(neg (/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) (* (* v -2) v))))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v))))
(/ (* (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ -1 v)) (* v -2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_O cosTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* cosTheta_i sinTheta_O) v))) (/ (* sinTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_i (/ cosTheta_O v)) (pow (exp cosTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_i) v))) (/ (* sinTheta_O cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_O (/ cosTheta_O v)) (pow (exp sinTheta_i) (/ cosTheta_i v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_i))) (/ (* v cosTheta_O) cosTheta_i)) (* (* (sinh (/ 1 cosTheta_i)) 2) cosTheta_i))
(/ (/ (* v (/ cosTheta_O cosTheta_i)) (pow (exp sinTheta_i) (/ sinTheta_O cosTheta_i))) (* (sinh (/ 1 cosTheta_i)) (* cosTheta_i 2)))
(/ (* (exp (neg (/ (* cosTheta_O sinTheta_O) v))) (/ (* cosTheta_i sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_i (/ cosTheta_i v)) (pow (exp sinTheta_O) (/ cosTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_O) v))) (/ (* cosTheta_i sinTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ cosTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_O))) (/ (* cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 cosTheta_O)) 2) cosTheta_O))
(/ (/ (* v (/ cosTheta_i cosTheta_O)) (pow (exp sinTheta_i) (/ sinTheta_O cosTheta_O))) (* (sinh (/ 1 cosTheta_O)) (* cosTheta_O 2)))
(/ (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i v)) (pow (exp sinTheta_i) (/ sinTheta_O v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (* (exp (neg (/ (* v sinTheta_O) sinTheta_i))) (/ (* cosTheta_i cosTheta_O) sinTheta_i)) (* (* (sinh (/ 1 sinTheta_i)) 2) sinTheta_i))
(/ (/ (/ (* cosTheta_i cosTheta_O) sinTheta_i) (pow (exp sinTheta_O) (/ v sinTheta_i))) (* (sinh (/ 1 sinTheta_i)) (* sinTheta_i 2)))
(/ (* (exp (neg (/ (* sinTheta_i v) sinTheta_O))) (/ (* cosTheta_i cosTheta_O) sinTheta_O)) (* (* (sinh (/ 1 sinTheta_O)) 2) sinTheta_O))
(/ (/ (* cosTheta_i (/ cosTheta_O sinTheta_O)) (pow (exp sinTheta_i) (/ v sinTheta_O))) (* (sinh (/ 1 sinTheta_O)) (* sinTheta_O 2)))

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain184.0ms (0.9%)

Memory

-10.7MiB live, 342.4MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
0	-	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
1	(5.7192719339971866e-24 9.451595572031337e-23 4.4351987910988454e-29 9.163975134285351e-10 0.7509093284606934)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	1	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	92

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

67.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 16.0ms (35.2% of total)

ival-mult: 15.0ms (33% of total)

ival-sinh: 5.0ms (11% of total)

ival-exp: 4.0ms (8.8% of total)

ival-neg: 4.0ms (8.8% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify236.0ms (1.1%)

Memory

-14.3MiB live, 290.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	32	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	cost-diff	96	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Rules

6 182×	`-lowering-.f32`
6 182×	`-lowering-.f64`
2 208×	`accelerator-lowering-fma.f32`
2 208×	`accelerator-lowering-fma.f64`
2 152×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	92
1	55	92
2	185	90
3	769	90
4	3043	90
5	3715	90
6	5458	90
0	8267	90

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
(neg (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (* (sinh (/ 1 v)) 2) v)
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
2

Outputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
(exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))
(neg (/ (* sinTheta_i sinTheta_O) v))
(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
(/ (* sinTheta_i sinTheta_O) v)
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
(* sinTheta_i sinTheta_O)
(fma.f32 sinTheta_i sinTheta_O #s(literal 0 binary32))
sinTheta_i
sinTheta_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
(* (* (sinh (/ 1 v)) 2) v)
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
(* (sinh (/ 1 v)) 2)
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32) #s(literal 0 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
2
#s(literal 2 binary32)

localize57.0ms (0.3%)

Memory

32.4MiB live, 78.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.2%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

39.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 15.0ms (53.6% of total)

ival-div: 7.0ms (25% of total)

ival-sinh: 3.0ms (10.7% of total)

ival-exp: 2.0ms (7.1% of total)

ival-neg: 1.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.3%)

Memory

-14.2MiB live, 96.9MiB allocated

Counts

7 → 252

Calls

Call 1

Inputs
#<alt (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))>
#<alt (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))>
#<alt (* (* (sinh (/ 1 v)) 2) v)>
#<alt (exp (neg (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (sinh (/ 1 v))>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (/ (* sinTheta_i sinTheta_O) v)>

Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt 2>
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#<alt 1>
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#<alt 1>
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#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>

Calls

63 calls:

Time	Variable		Point	Expression
5.0ms	cosTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	cosTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	sinTheta_O	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

rewrite257.0ms (1.3%)

Memory

14.6MiB live, 400.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 816×	`-lowering-.f32`
4 816×	`-lowering-.f64`
3 750×	`/-lowering-/.f32`
3 750×	`/-lowering-/.f64`
1 524×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	77	62
2	516	62
3	6807	62
0	8047	62

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 712

Calls

Call 1

Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
(* (* (sinh (/ 1 v)) 2) v)
(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
(sinh (/ 1 v))
(/ (* cosTheta_i cosTheta_O) v)
(/ (* sinTheta_i sinTheta_O) v)

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

simplify438.0ms (2.1%)

Memory

44.9MiB live, 703.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
5 366×	`-lowering-.f32`
5 366×	`-lowering-.f64`
3 038×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	3905
1	1040	3784
2	3835	3551
3	7017	3550
0	8065	3508

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))) (/.f32 (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32)))) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal -1/6 binary32)))) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (.f32 v (.f32 v v))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (neg.f32 sinTheta_i))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (neg.f32 sinTheta_i)))))) v)) v)) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

eval91.0ms (0.4%)

Memory: -2.4MiB live, 193.6MiB allocated
Compiler: Compiled 24 768 to 2 509 computations (89.9% saved)

prune424.0ms (2.1%)

Memory

-138.7MiB live, 425.5MiB allocated

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	919	45	964
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	920	45	965

Accuracy

99.7%

Counts

965 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
	98.7%	(/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))) v) #s(literal 1/2 binary32) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) v)) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32)))
	94.7%	(/.f32 (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	92.9%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_i cosTheta_O)))
	94.8%	(/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
	98.6%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	98.0%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
▶	59.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	65.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 v v)))
	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
	59.8%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.8%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	58.3%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	93.4%	(/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	93.4%	(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1/2 binary32)))
	96.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 v #s(literal 2 binary32))))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	98.1%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
▶	98.8%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 v v)))
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))
	98.7%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.7%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.7%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
▶	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	89.4%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 2 688 to 1 796 computations (33.2% saved)

simplify345.0ms (1.7%)

Memory

3.1MiB live, 363.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	192	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	0	(*.f32 v v)
✓	cost-diff	0	(/.f32 cosTheta_O (*.f32 v v))
✓	cost-diff	0	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	cost-diff	224	(.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	cost-diff	0	(.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 v v))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 v v)))
✓	cost-diff	32	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	cost-diff	0	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	192	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

Rules

6 980×	`-lowering-.f32`
6 980×	`-lowering-.f64`
2 772×	`accelerator-lowering-fma.f32`
2 772×	`accelerator-lowering-fma.f64`
2 008×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	407
1	117	407
2	441	407
3	1983	407
4	3408	407
5	4739	407
6	6059	407
0	8271	407

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))) (sinh (/ 1 v)))
(* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2)))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(* v 2)
2
(sinh (/ 1 v))
(/ 1 v)
1
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
1/2
v
(/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v))
(* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
v
2
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
0
(* v v)
(* cosTheta_i (* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))
cosTheta_i
(* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))
(/ cosTheta_O (* v v))
cosTheta_O
(* v v)
v
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
2
(* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(* (/ (* cosTheta_i cosTheta_O) v) 1/2)
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
1/2
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(sinh (/ 1 v))
(/ 1 v)
1

Outputs
(/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))) (sinh (/ 1 v)))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (*.f32 v v))))
(* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2)))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (.f32 v (.f32 v #s(literal 2 binary32))))
(/ (* 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
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
sinTheta_i
(- 0 (/ sinTheta_O v))
(-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))
0
#s(literal 0 binary32)
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(* (* cosTheta_O cosTheta_i) 1/2)
(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
1/2
#s(literal 1/2 binary32)
v
(/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(* (sinh (/ 1 v)) 2)
(fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
2
#s(literal 2 binary32)
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
0
#s(literal 0 binary32)
(* v v)
(*.f32 v v)
(* cosTheta_i (* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (*.f32 v v))))
cosTheta_i
(* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))
(/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (.f32 v v))))
(/ cosTheta_O (* v v))
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(* v v)
(*.f32 v v)
v
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32)))
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
sinTheta_i
(- 0 (/ sinTheta_O v))
(-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))
0
#s(literal 0 binary32)
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* (sinh (/ 1 v)) 2)
(fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
2
#s(literal 2 binary32)
(* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (*.f32 v v))))
(* (/ (* cosTheta_i cosTheta_O) v) 1/2)
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) 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
1/2
#s(literal 1/2 binary32)
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v)
(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v)
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
sinTheta_i
(- 0 (/ sinTheta_O v))
(-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))
0
#s(literal 0 binary32)
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)

localize181.0ms (0.9%)

Memory

4.8MiB live, 360.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.2%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	98.7%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.f32 cosTheta_O (*.f32 v v))
✓	accuracy	99.1%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	98.9%	(.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.7%	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
✓	accuracy	99.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 v v)))
✓	accuracy	98.8%	(.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 v v))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.4%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.2%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32))))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

82.0ms

256×

valid

Compiler

Compiled 447 to 43 computations (90.4% saved)

Precisions

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

ival-mult: 24.0ms (42.6% of total)

ival-div: 17.0ms (30.2% of total)

ival-exp: 5.0ms (8.9% of total)

ival-sub: 3.0ms (5.3% of total)

ival-sinh: 3.0ms (5.3% of total)

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

exact: 1.0ms (1.8% of total)

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

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

series140.0ms (0.7%)

Memory

7.5MiB live, 239.9MiB allocated

Counts

20 → 756

Calls

Call 1

Inputs
#<alt (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))) (sinh (/ 1 v)))>
#<alt (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2)))>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (/ (* (* cosTheta_O cosTheta_i) 1/2) v)>
#<alt (* (* cosTheta_O cosTheta_i) 1/2)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))>
#<alt (/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v)))>
#<alt (* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v))>
#<alt (* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))>
#<alt (* cosTheta_i (* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))>
#<alt (/ cosTheta_O (* v v))>
#<alt (* v v)>
#<alt (* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))>
#<alt (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))>
#<alt (* (/ (* cosTheta_i cosTheta_O) v) 1/2)>
#<alt (sinh (/ 1 v))>
#<alt (+ (* sinTheta_i (/ sinTheta_O v)) 0)>
#<alt (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))>

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

Calls

189 calls:

Time	Variable		Point	Expression
20.0ms	sinTheta_O	@	-inf	(* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v))
7.0ms	cosTheta_O	@	0	(/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))) (sinh (/ 1 v)))
7.0ms	cosTheta_i	@	inf	(/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))) (sinh (/ 1 v)))
4.0ms	v	@	inf	(/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v)))
4.0ms	sinTheta_O	@	0	(* cosTheta_i (* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))

rewrite344.0ms (1.7%)

Memory

0.9MiB live, 511.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 968×	`/-lowering-/.f32`
3 968×	`/-lowering-/.f64`
3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
1 350×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	230
1	222	230
2	2052	222
0	8845	222

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 939

Calls

Call 1

Inputs
(/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2))) (sinh (/ 1 v)))
(* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* v 2)))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
(* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v)))
(* (* (* (sinh (/ 1 v)) 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))) (* v v))
(* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))
(* cosTheta_i (* (/ cosTheta_O (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))
(/ cosTheta_O (* v v))
(* v v)
(* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v))))
(/ (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) v) (sinh (/ 1 v)))
(* (/ (* cosTheta_i cosTheta_O) v) 1/2)
(sinh (/ 1 v))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))

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

simplify614.0ms (3%)

Memory

37.7MiB live, 1 050.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 276×	`accelerator-lowering-fma.f32`
11 276×	`accelerator-lowering-fma.f64`
9 374×	`-lowering-.f32`
9 374×	`-lowering-.f64`
3 632×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	15418
1	2589	14787
0	8743	14571

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 cosTheta_O cosTheta_i)) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (*.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) sinTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) sinTheta_i)) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 sinTheta_O) sinTheta_i)))) (.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (.f32 #s(literal 1/2 binary32) sinTheta_i) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O sinTheta_i)) sinTheta_i) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
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(* 2 v)
(*.f32 v #s(literal 2 binary32))
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(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
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(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
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(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 sinTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (neg.f32 sinTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 v)
(*.f32 v #s(literal 1/2 binary32))
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(.f32 v (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(.f32 v (+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal -1/12 binary32) (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 sinTheta_O) sinTheta_i))) (.f32 v (.f32 v v)))))
(* 1/2 v)
(*.f32 v #s(literal 1/2 binary32))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(-.f32 #s(literal 0 binary32) (.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(neg.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))
(neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/12 binary32) (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (.f32 (neg.f32 sinTheta_O) sinTheta_i))) v) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32))))

eval379.0ms (1.8%)

Memory: -15.4MiB live, 541.8MiB allocated
Compiler: Compiled 73 659 to 3 910 computations (94.7% saved)

prune374.0ms (1.8%)

Memory

33.4MiB live, 751.7MiB allocated

Pruning

67 alts after pruning (66 fresh and 1 done)

	Pruned	Kept	Total
New	2 912	53	2 965
Fresh	27	13	40
Picked	4	1	5
Done	0	0	0
Total	2 943	67	3 010

Accuracy

99.9%

Counts

3 010 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
	98.6%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i))
	94.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	95.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_O (/.f32 cosTheta_i v))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	94.8%	(/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
	98.6%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (.f32 v v))
	95.0%	(/.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	59.8%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	59.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	65.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
	59.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (pow.f32 (exp.f32 (log.f32 v)) #s(literal 2 binary32))))
	59.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
▶	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
	59.8%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	93.2%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (/.f32 v cosTheta_O))) cosTheta_i))
	93.5%	(/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	60.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	92.8%	(.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 v #s(literal 2 binary32))))
	98.5%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))))
	98.8%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	98.4%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (*.f32 v #s(literal 2 binary32))))))
	60.2%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
	95.1%	(.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	59.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	59.8%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
	98.7%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1/2 binary32))))
	59.8%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
	98.3%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	98.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
▶	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	59.8%	(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
▶	59.8%	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
	98.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) v))
	98.4%	(.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v (/.f32 v cosTheta_O)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v) (/.f32 #s(literal 1 binary32) v)))
▶	98.9%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.8%	(.f32 cosTheta_i (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.4%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	89.4%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 3 590 to 2 443 computations (31.9% saved)

simplify321.0ms (1.6%)

Memory

-1.9MiB live, 554.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))
✓	cost-diff	416	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
✓	cost-diff	224	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
✓	cost-diff	160	(/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))
✓	cost-diff	160	(neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32))))
✓	cost-diff	224	(fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))) v))
✓	cost-diff	320	(.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	cost-diff	0	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
✓	cost-diff	0	(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
✓	cost-diff	0	(/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
✓	cost-diff	64	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	352	(.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v))

Rules

6 198×	`-lowering-.f32`
6 198×	`-lowering-.f64`
3 844×	`accelerator-lowering-fma.f32`
3 844×	`accelerator-lowering-fma.f64`
3 056×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	813
1	207	757
2	741	729
3	3317	688
4	5594	680
0	8758	645

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* cosTheta_i (* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))
cosTheta_i
(* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))
(/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v)))
cosTheta_O
(* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
0
(* (* 2 (sinh (/ 1 v))) v)
(* 2 (sinh (/ 1 v)))
2
(sinh (/ 1 v))
(/ 1 v)
1
(* (* cosTheta_O (/ cosTheta_i v)) 1/2)
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
1/2
(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2)))
(* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))
v
(+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2)
-1
(/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)
(+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v)))
sinTheta_O
(* sinTheta_i 2)
sinTheta_i
2
(/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))
(+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v))
(+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)
(* sinTheta_O sinTheta_O)
(* (* sinTheta_i sinTheta_i) -1/2)
(* sinTheta_i sinTheta_i)
-1/2
-1/6
(/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)
(* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i))))))
-1/3
(+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))
(* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i))))
(* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))
(* sinTheta_O (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
(neg v)
-2
(* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
(/ 1/2 v)
1/2
v
(* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(sinh (/ 1 v))
(/ 1 v)
1
(* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
0
(* (* cosTheta_i cosTheta_O) (* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))
(/ 1 (* v v))
1
(* v v)
v
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
sinTheta_i
(- 0 (/ sinTheta_O v))
0
(/ sinTheta_O v)
sinTheta_O
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
2

Outputs
(* cosTheta_i (* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 v v #s(literal 0 binary32)))))
cosTheta_i
(* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))
(/.f32 cosTheta_O (*.f32 (fma.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 0 binary32)) (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 v #s(literal 2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v)))
(/.f32 cosTheta_O (fma.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 v #s(literal 2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
cosTheta_O
(* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))
(fma.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 v #s(literal 2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
v
0
#s(literal 0 binary32)
(* (* 2 (sinh (/ 1 v))) v)
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 v #s(literal 2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* 2 (sinh (/ 1 v)))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
2
#s(literal 2 binary32)
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(* (* cosTheta_O (/ cosTheta_i v)) 1/2)
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v))
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
1/2
#s(literal 1/2 binary32)
(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O (fma.f32 v #s(literal 2 binary32) (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v)))) #s(literal 0 binary32))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2)))
(fma.f32 v #s(literal 2 binary32) (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v)))
(* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))
(-.f32 (fma.f32 v #s(literal -2 binary32) #s(literal 0 binary32)) (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v)))
v
(+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2)
(-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v)) v))
-1
#s(literal -1 binary32)
(/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)
(/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v)) v)
(+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v)))
(fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v))
sinTheta_O
(* sinTheta_i 2)
(*.f32 sinTheta_i #s(literal 2 binary32))
sinTheta_i
2
#s(literal 2 binary32)
(/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))
(/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (fma.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) (/.f32 #s(literal 1/3 binary32) v) #s(literal 1/3 binary32))) v)
(+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v))
(fma.f32 sinTheta_i (.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_O))) (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)) v) #s(literal -1/3 binary32)))
(+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)
(fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))
(* sinTheta_O sinTheta_O)
(*.f32 sinTheta_O sinTheta_O)
(* (* sinTheta_i sinTheta_i) -1/2)
(.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))
(* sinTheta_i sinTheta_i)
(*.f32 sinTheta_i sinTheta_i)
-1/2
#s(literal -1/2 binary32)
-1/6
#s(literal -1/6 binary32)
(/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)
(/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O))) v)
(* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i))))))
(.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O)))
-1/3
#s(literal -1/3 binary32)
(+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))
(.f32 sinTheta_i (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) sinTheta_O))
(* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i))))
(.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))))
(* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))
(.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_i))
(.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
(neg v)
(neg.f32 v)
-2
#s(literal -2 binary32)
(* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 v v #s(literal 0 binary32)))))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
(/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 v v #s(literal 0 binary32)))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(fma.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 0 binary32)) #s(literal 0 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))
(fma.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 0 binary32))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
0
#s(literal 0 binary32)
(* (* cosTheta_i cosTheta_O) (* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 v v #s(literal 0 binary32)))))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))
(/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (fma.f32 v v #s(literal 0 binary32)))))
(/ 1 (* v v))
(/.f32 #s(literal 1 binary32) (fma.f32 v v #s(literal 0 binary32)))
1
#s(literal 1 binary32)
(* v v)
(fma.f32 v v #s(literal 0 binary32))
v
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))
(/.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))
(exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 0 binary32)))
(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 0 binary32))
sinTheta_i
(- 0 (/ sinTheta_O v))
(neg.f32 (/.f32 sinTheta_O v))
0
#s(literal 0 binary32)
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* (sinh (/ 1 v)) 2)
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
2
#s(literal 2 binary32)

localize249.0ms (1.2%)

Memory

-19.3MiB live, 536.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (*.f32 v v))
✓	accuracy	99.1%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	99.0%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)
✓	accuracy	99.2%	(.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))
✓	accuracy	99.1%	(/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v)
✓	accuracy	98.9%	(/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	99.9%	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
✓	accuracy	99.6%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	accuracy	99.2%	(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
✓	accuracy	99.1%	(/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
✓	accuracy	99.0%	(.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

124.0ms

256×

valid

Compiler

Compiled 806 to 72 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 43.0ms (45.3% of total)

ival-div: 25.0ms (26.3% of total)

ival-add: 8.0ms (8.4% of total)

const: 6.0ms (6.3% of total)

ival-exp: 4.0ms (4.2% of total)

ival-neg: 3.0ms (3.2% of total)

ival-sinh: 3.0ms (3.2% of total)

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

exact: 1.0ms (1.1% of total)

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

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

series160.0ms (0.8%)

Memory

6.5MiB live, 164.0MiB allocated

Counts

25 → 864

Calls

Call 1

Inputs
#<alt (* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))>
#<alt (* cosTheta_i (* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))>
#<alt (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v)))>
#<alt (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))>
#<alt (* (* cosTheta_O (/ cosTheta_i v)) 1/2)>
#<alt (* cosTheta_O (/ cosTheta_i v))>
#<alt (/ cosTheta_i v)>
#<alt (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))>
#<alt (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v))>
#<alt (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2)))>
#<alt (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))>
#<alt (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))>
#<alt (* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (/ 1/2 v)>
#<alt (* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))>
#<alt (- 0 (/ sinTheta_O v))>
#<alt (* (* cosTheta_i cosTheta_O) (* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))>
#<alt (sinh (/ 1 v))>
#<alt (* (* 2 (sinh (/ 1 v))) v)>
#<alt (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)>
#<alt (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)>
#<alt (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))>
#<alt (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))>
#<alt (/ 1 (* v v))>

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

Calls

216 calls:

Time	Variable		Expression
26.0ms	sinTheta_i	@	(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
25.0ms	sinTheta_i	@	(* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))
6.0ms	sinTheta_i	@	(/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v)))
5.0ms	v	@	(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
1.0ms	sinTheta_O	@	(/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v)))

rewrite475.0ms (2.3%)

Memory

-14.2MiB live, 895.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 506×	`-lowering-.f32`
4 506×	`-lowering-.f64`
4 470×	`/-lowering-/.f32`
4 470×	`/-lowering-/.f64`
2 912×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	439
1	374	375
2	3294	374
0	9107	358

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 272

Calls

Call 1

Inputs
(* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))
(* cosTheta_i (* (/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))
(/ cosTheta_O (* (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* (* 2 (sinh (/ 1 v))) v)))
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(* (* cosTheta_O (/ cosTheta_i v)) 1/2)
(* cosTheta_O (/ cosTheta_i v))
(/ cosTheta_i v)
(* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2))
(+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v))
(neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)) -2)))
(/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))
(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))))
(* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))))
(* cosTheta_i cosTheta_O)
(/ 1/2 v)
(* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2)))
(- 0 (/ sinTheta_O v))
(* (* cosTheta_i cosTheta_O) (* (/ 1 (* v v)) (/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))))
(sinh (/ 1 v))
(* (* 2 (sinh (/ 1 v))) v)
(/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* 2 (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6)) (/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)) (neg v))) v)
(/ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (* sinTheta_i sinTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_O sinTheta_i)))))) v)
(* (sinh (/ 1 v)) (* v (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))))
(/ (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) (* (sinh (/ 1 v)) 2))
(/ 1 (* v v))

Outputs
(pow.f32 (.f32 v (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O)) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) v) #s(literal -1 binary32))
(pow.f32 (/.f32 v (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) cosTheta_O) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 cosTheta_O v)) #s(literal -1 binary32))
(/.f32 cosTheta_O (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 cosTheta_O (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 cosTheta_O v)))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (neg.f32 v) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O))))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) (neg.f32 v))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O))
(/.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 v) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O)))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) (neg.f32 v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 v (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) cosTheta_O)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 cosTheta_O v))))
(/.f32 (neg.f32 cosTheta_O) (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (neg.f32 cosTheta_O) (.f32 (neg.f32 v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 v #s(literal 2 binary32)))))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O)))
(/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 cosTheta_O)) (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1 binary32) (neg.f32 cosTheta_O)) (.f32 (neg.f32 v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(/.f32 (.f32 cosTheta_O #s(literal -1 binary32)) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (neg.f32 v)))
(/.f32 (.f32 (neg.f32 cosTheta_O) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
(/.f32 (.f32 (neg.f32 cosTheta_O) #s(literal -1 binary32)) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (neg.f32 v)))
(/.f32 (.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) #s(literal 1 binary32)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) v))
(/.f32 (.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) #s(literal -1 binary32)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (.f32 (neg.f32 v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (neg.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (neg.f32 (.f32 (.f32 (.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v))
(/.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (neg.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
(/.f32 (neg.f32 (.f32 cosTheta_O #s(literal 1/2 binary32))) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v))) (neg.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))
(/.f32 (neg.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (neg.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(/.f32 (neg.f32 (.f32 cosTheta_O #s(literal -1 binary32))) (neg.f32 (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (neg.f32 v))))
(/.f32 (neg.f32 (.f32 (neg.f32 cosTheta_O) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v)))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) v)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 cosTheta_O))) (neg.f32 (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) (neg.f32 (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (neg.f32 cosTheta_O))) (neg.f32 (.f32 (neg.f32 v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
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(pow.f32 (/.f32 (-.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))) (-.f32 (.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)))) (*.f32 v v)))) #s(literal -1 binary32))
(fma.f32 sinTheta_O (.f32 (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 2 binary32)) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)))) #s(literal -1 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 2 binary32)) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) #s(literal 2 binary32) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) v)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (/.f32 #s(literal 1 binary32) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_O) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(fma.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)))) #s(literal -1/2 binary32) (+.f32 #s(literal -1/3 binary32) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))))
(-.f32 (/.f32 (.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (-.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)))) (.f32 v v)) (-.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)) (-.f32 (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))))) (fma.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))))) (.f32 v (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v))) (-.f32 (.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)))) (*.f32 v v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)) (-.f32 (.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) (/.f32 #s(literal -1/3 binary32) v)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))))) (fma.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (.f32 (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32)) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))))) (.f32 v (*.f32 v v)))))))
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(.f32 (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal 1 binary32))
(.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) v)
(neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
(pow.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) (neg.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 2 binary32))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))
(*.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(*.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) #s(literal -1 binary32)) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)))
(exp.f32 (*.f32 (fma.f32 #s(literal 2 binary32) (log.f32 v) #s(literal 0 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 v) #s(literal -2 binary32)))
(exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (*.f32 (log.f32 v) #s(literal -1 binary32))))
(exp.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) (log.f32 v) #s(literal 0 binary32))))
(pow.f32 v #s(literal -2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(pow.f32 (neg.f32 v) #s(literal -2 binary32))
(pow.f32 (*.f32 v v) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))
(pow.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v))) #s(literal -1 binary32))
(pow.f32 (/.f32 v (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 v v) (*.f32 v v)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal 1 binary32) v) v)
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 v))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 v v)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))

simplify614.0ms (3%)

Memory

47.9MiB live, 936.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 586×	`-lowering-.f32`
7 586×	`-lowering-.f64`
6 792×	`accelerator-lowering-fma.f32`
6 792×	`accelerator-lowering-fma.f64`
3 180×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1536	20049
1	5343	19805
0	8108	19286

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 864

Calls

Call 1

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

Outputs
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))) (/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 5 binary32))))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))))) (/.f32 (neg.f32 (.f32 cosTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))) (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))) (/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 5 binary32))))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))))) (/.f32 (neg.f32 (.f32 cosTheta_O sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))) (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
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(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32))))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))))) (/.f32 (neg.f32 (.f32 cosTheta_O sinTheta_i)) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 cosTheta_O (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_O #s(literal 1/2 binary32)))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 cosTheta_O (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))))
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(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_O #s(literal 1/2 binary32)))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
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1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 sinTheta_O v)) #s(literal 1 binary32))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
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(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
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1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
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(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
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(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(fma.f32 sinTheta_i (neg.f32 (fma.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 v)))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) v)) (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 v (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v)))) (.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) v))))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 v)))
(* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
(.f32 #s(literal -1/3 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2)))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i)))))
(* (pow sinTheta_i 3) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (pow sinTheta_i 2))) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 v (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))) (.f32 sinTheta_i sinTheta_i))) (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i))))))
(* (pow sinTheta_i 3) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 3))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (pow sinTheta_i 2))) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2)))))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 v (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (fma.f32 v (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))) (.f32 sinTheta_i sinTheta_i))) (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v sinTheta_i)))))))
(* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
(.f32 #s(literal -1/3 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* -1 (* (pow sinTheta_i 3) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))) (/ (pow sinTheta_O 2) (* sinTheta_i v)))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i)))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (pow sinTheta_O 2) v)) (/ (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) sinTheta_i)) sinTheta_i)) (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (fma.f32 (neg.f32 v) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) sinTheta_i)) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))) sinTheta_i)) (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_i) (.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) sinTheta_i)) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
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(fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32))
(- (* sinTheta_O (+ (* -1 (* sinTheta_O (pow sinTheta_i 2))) (* -1/3 (/ sinTheta_i v)))) 1/3)
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) v)) #s(literal -1/3 binary32))
(- (* sinTheta_O (+ (* -1/3 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1 (pow sinTheta_i 2)) (* -1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) v)))))) 1/3)
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) v) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_i sinTheta_i))) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_i) v)) #s(literal -1/3 binary32))
(* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))
(.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) #s(literal -1/3 binary32))
(* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 2) sinTheta_O)) (* -1/3 (/ (pow sinTheta_i 3) v))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O))))
(* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 2) sinTheta_O)) (+ (* -1/3 (/ sinTheta_i (* (pow sinTheta_O 2) v))) (* -1/3 (/ (pow sinTheta_i 3) v)))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal -1/3 binary32) (+.f32 (/.f32 sinTheta_i (.f32 v (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) sinTheta_O))))
(* (pow sinTheta_O 3) (- (+ (* -1 (/ (pow sinTheta_i 2) sinTheta_O)) (+ (* -1/3 (/ sinTheta_i (* (pow sinTheta_O 2) v))) (* -1/3 (/ (pow sinTheta_i 3) v)))) (* 1/3 (/ 1 (pow sinTheta_O 3)))))
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(* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))
(.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) #s(literal -1/3 binary32))
(* -1 (* (pow sinTheta_O 3) (+ (* 1/3 (/ (pow sinTheta_i 3) v)) (/ (pow sinTheta_i 2) sinTheta_O))))
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(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (pow sinTheta_i 2)) (* -1/3 (/ sinTheta_i (* sinTheta_O v)))) sinTheta_O)) (* 1/3 (/ (pow sinTheta_i 3) v)))))
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(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i v)) (* 1/3 (/ 1 sinTheta_O))) sinTheta_O)) (* -1 (pow sinTheta_i 2))) sinTheta_O)) (* 1/3 (/ (pow sinTheta_i 3) v)))))
(.f32 (-.f32 (.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (neg.f32 (fma.f32 sinTheta_i sinTheta_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i v) (/.f32 #s(literal 1/3 binary32) sinTheta_O)) sinTheta_O))) sinTheta_O)) (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))
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(- (* -1/3 (/ (* sinTheta_O sinTheta_i) v)) 1/3)
(fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32))
(- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3)
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32))
(- (* sinTheta_i (+ (* -1/3 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) v)))))) 1/3)
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) v) (neg.f32 (.f32 sinTheta_O sinTheta_O))) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32))
(* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))
(.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) #s(literal -1/3 binary32))
(* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ (pow sinTheta_O 3) v))))
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(* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 2) sinTheta_i)) (+ (* -1/3 (/ sinTheta_O (* (pow sinTheta_i 2) v))) (* -1/3 (/ (pow sinTheta_O 3) v)))))
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(* (pow sinTheta_i 3) (- (+ (* -1 (/ (pow sinTheta_O 2) sinTheta_i)) (+ (* -1/3 (/ sinTheta_O (* (pow sinTheta_i 2) v))) (* -1/3 (/ (pow sinTheta_O 3) v)))) (* 1/3 (/ 1 (pow sinTheta_i 3)))))
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(* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))
(.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) #s(literal -1/3 binary32))
(* -1 (* (pow sinTheta_i 3) (+ (* 1/3 (/ (pow sinTheta_O 3) v)) (/ (pow sinTheta_O 2) sinTheta_i))))
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(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))) sinTheta_i)) (* 1/3 (/ (pow sinTheta_O 3) v)))))
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(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O v)) (* 1/3 (/ 1 sinTheta_i))) sinTheta_i)) (* -1 (pow sinTheta_O 2))) sinTheta_i)) (* 1/3 (/ (pow sinTheta_O 3) v)))))
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(* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))
(/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i))) v)
(/ (+ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
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(/ (+ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
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(/ (+ (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
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(* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
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(* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
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(+ (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))
(fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i))) v))
(+ (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))
(fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i))) v))
(+ (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))
(fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i))) v))
(* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 2)))
(.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (*.f32 v v)))
(/ (- (* -2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (*.f32 v v))
(/ (- (* v (- (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 2))
(/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (-.f32 (.f32 sinTheta_O (.f32 v sinTheta_i)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/ (- (* v (- (* v (- (* 2 v) (* -2 (* sinTheta_O sinTheta_i)))) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* -1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))
(* v (- (+ 2 (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))) (* -2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* v (- (+ 2 (* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3)))) (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(.f32 v (-.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v))) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -2 binary32)) v))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(-.f32 #s(literal 0 binary32) (.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -2 binary32) #s(literal -2 binary32))))
(* -1 (* v (- (* -1 (/ (- (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* -2 (* sinTheta_O sinTheta_i))) v)) 2)))
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(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* -2 (* sinTheta_O sinTheta_i))) v)) 2)))
(.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i))) v)) v) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) v) #s(literal -2 binary32)) (neg.f32 v))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(- (* sinTheta_O (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 (.f32 v sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) v) (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(- (* sinTheta_O (- (* sinTheta_O (- (* 1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 2))) (* -1 (/ (pow sinTheta_i 2) v)))) (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
(.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_O 3) (- (/ (pow sinTheta_i 2) (* sinTheta_O v)) (* -1/3 (/ (pow sinTheta_i 3) (pow v 2)))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v sinTheta_O))))
(* (pow sinTheta_O 3) (- (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (pow sinTheta_O 2)) (+ (* -1 (/ (pow sinTheta_i 2) (* sinTheta_O v))) (* -1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
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(* (pow sinTheta_O 3) (- (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 3)) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (pow sinTheta_O 2))) (+ (* -1 (/ (pow sinTheta_i 2) (* sinTheta_O v))) (* -1/3 (/ (pow sinTheta_i 3) (pow v 2)))))))
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(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
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(* -1 (* (pow sinTheta_O 3) (- (* -1 (/ (pow sinTheta_i 2) (* sinTheta_O v))) (* 1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
(neg.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v sinTheta_O))) (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))))
(* -1 (* (pow sinTheta_O 3) (- (* -1 (/ (- (* -1 (/ (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))) sinTheta_O)) (* 1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
(neg.f32 (neg.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (fma.f32 (neg.f32 v) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) sinTheta_O)))))
(* -1 (* (pow sinTheta_O 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))) sinTheta_O)) (* 1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
(.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_O)) (.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))))))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) sinTheta_O))) (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(- (* sinTheta_i (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 (.f32 v sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(- (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) v) (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i v) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(- (* sinTheta_i (- (* sinTheta_i (- (* 1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 2))) (* -1 (/ (pow sinTheta_O 2) v)))) (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
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(* (pow sinTheta_i 3) (- (/ (pow sinTheta_O 2) (* sinTheta_i v)) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2)))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i))))
(* (pow sinTheta_i 3) (- (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (pow sinTheta_i 2)) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
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(* (pow sinTheta_i 3) (- (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 3)) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (pow sinTheta_i 2))) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2)))))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (-.f32 (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (fma.f32 v (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))) (.f32 sinTheta_i sinTheta_i))) (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i)))))))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
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(* -1 (* (pow sinTheta_i 3) (- (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i)))) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
(* -1 (* (pow sinTheta_i 3) (- (* -1 (/ (- (* -1 (/ (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))) sinTheta_i)) (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(neg.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (fma.f32 (neg.f32 v) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) sinTheta_i)) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))
(* -1 (* (pow sinTheta_i 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))) sinTheta_i)) (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_i) (.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) sinTheta_i))) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
(/ 1/3 v)
(/.f32 #s(literal 1/3 binary32) v)
(+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/3 (/ 1 v)))
(fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* 1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 2))) (/ (pow sinTheta_i 2) v))))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) v))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
(.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_O 3) (+ (* 1/3 (/ (pow sinTheta_i 3) (pow v 2))) (/ (pow sinTheta_i 2) (* sinTheta_O v))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v sinTheta_O))))
(* (pow sinTheta_O 3) (+ (* 1/3 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/3 (/ (pow sinTheta_i 3) (pow v 2))) (/ (pow sinTheta_i 2) (* sinTheta_O v)))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v sinTheta_O)))))
(* (pow sinTheta_O 3) (+ (* 1/3 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 2)))) (+ (* 1/3 (/ (pow sinTheta_i 3) (pow v 2))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 3) v))) (/ (pow sinTheta_i 2) (* sinTheta_O v))))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v sinTheta_O)) (/.f32 #s(literal 1/3 binary32) (.f32 v (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))))))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
(.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 2) (* sinTheta_O v))) (* -1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
(neg.f32 (.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v sinTheta_O))) (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) v)) sinTheta_O)) (* -1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 (.f32 v v) sinTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) sinTheta_O)) (neg.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/3 (/ sinTheta_i (pow v 2))) (* 1/3 (/ 1 (* sinTheta_O v)))) sinTheta_O)) (/ (pow sinTheta_i 2) v)) sinTheta_O)) (* -1/3 (/ (pow sinTheta_i 3) (pow v 2))))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (/.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1/3 binary32) (.f32 v sinTheta_O))) sinTheta_O)) sinTheta_O)) (neg.f32 (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(/ 1/3 v)
(/.f32 #s(literal 1/3 binary32) v)
(+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/3 (/ 1 v)))
(fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* 1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 2))) (/ (pow sinTheta_O 2) v))))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) v))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
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(* (pow sinTheta_i 3) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))) (/ (pow sinTheta_O 2) (* sinTheta_i v))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i))))
(* (pow sinTheta_i 3) (+ (* 1/3 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))) (/ (pow sinTheta_O 2) (* sinTheta_i v)))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v sinTheta_i)))))
(* (pow sinTheta_i 3) (+ (* 1/3 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 2)))) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 2))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 3) v))) (/ (pow sinTheta_O 2) (* sinTheta_i v))))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 #s(literal 1/3 binary32) (.f32 v (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i)))))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 2)))
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(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (neg.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v sinTheta_i)))) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) v)) sinTheta_i)) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 (.f32 v v) sinTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) sinTheta_i)) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/3 (/ sinTheta_O (pow v 2))) (* 1/3 (/ 1 (* sinTheta_i v)))) sinTheta_i)) (/ (pow sinTheta_O 2) v)) sinTheta_i)) (* -1/3 (/ (pow sinTheta_O 3) (pow v 2))))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v)) (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v sinTheta_i)))) sinTheta_i)) sinTheta_i)) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))
(* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 2)))
(.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (*.f32 v v)))
(/ (+ (* -2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* 1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (*.f32 v v))
(/ (+ (* -2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* 1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (*.f32 v v))
(/ (+ (* -2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* 1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 2))
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(* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))
(/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)
(/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)
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(/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)
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(/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)
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(* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))
(/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)
(* -1 (/ (+ (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))
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(* -1 (/ (+ (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i))) v)) v))
(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))))) v)
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(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) v)
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
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(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (neg.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32))) v)
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(neg.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) v))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* 1/3 (/ 1 (pow v 2))))
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(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (+ (* 2 (/ sinTheta_i v)) (* sinTheta_O (+ (* 1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (/ (pow sinTheta_i 2) (pow v 2))))))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))) (/.f32 (.f32 #s(literal 2 binary32) sinTheta_i) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
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(* (pow sinTheta_O 3) (+ (* 1/3 (/ (pow sinTheta_i 3) (pow v 3))) (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 2)))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) sinTheta_O))))
(* (pow sinTheta_O 3) (+ (* 1/3 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 1/3 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) v))) (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 2)))))))
(.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 (.f32 v (.f32 v v)) (.f32 sinTheta_O sinTheta_O))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 v (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) sinTheta_O))))))
(* (pow sinTheta_O 3) (+ (* 1/3 (/ sinTheta_i (* (pow sinTheta_O 2) (pow v 3)))) (+ (* 1/3 (/ (pow sinTheta_i 3) (pow v 3))) (+ (* 2 (/ sinTheta_i (* (pow sinTheta_O 2) v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 3) (pow v 2)))) (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 2))))))))
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(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
(.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (pow sinTheta_i 2) (* sinTheta_O (pow v 2)))) (* -1/3 (/ (pow sinTheta_i 3) (pow v 3))))))
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(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))) sinTheta_O)) (* -1/3 (/ (pow sinTheta_i 3) (pow v 3))))))
(neg.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_i (.f32 v (*.f32 v v))))) sinTheta_O)) sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))) sinTheta_O)) (* -1/3 (/ (pow sinTheta_i 3) (pow v 3))))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))))) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) sinTheta_O))) sinTheta_O)) sinTheta_O)) (neg.f32 (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* 1/3 (/ 1 (pow v 2))))
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(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (.f32 v v)) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v)))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (+ (* 2 (/ sinTheta_O v)) (* sinTheta_i (+ (* 1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (/ (pow sinTheta_O 2) (pow v 2))))))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v))) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
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(* (pow sinTheta_i 3) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 3))) (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) sinTheta_i))))
(* (pow sinTheta_i 3) (+ (* 1/3 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) v))) (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) sinTheta_i))))))
(* (pow sinTheta_i 3) (+ (* 1/3 (/ sinTheta_O (* (pow sinTheta_i 2) (pow v 3)))) (+ (* 1/3 (/ (pow sinTheta_O 3) (pow v 3))) (+ (* 2 (/ sinTheta_O (* (pow sinTheta_i 2) v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 3) (pow v 2)))) (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))))
(.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 (.f32 v (.f32 v v)) (.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 v v) sinTheta_i)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))))))
(* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3)))
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(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/3 (/ (pow sinTheta_O 3) (pow v 3))))))
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(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))) sinTheta_i)) (* -1/3 (/ (pow sinTheta_O 3) (pow v 3))))))
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(* -1 (* (pow sinTheta_i 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))) sinTheta_i)) (* -1/3 (/ (pow sinTheta_O 3) (pow v 3))))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) sinTheta_i))) sinTheta_i)) sinTheta_i)) (neg.f32 (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))
(* 1/3 (/ (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3)))
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(/ (+ (* -2 (* v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* 1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (pow v 3))
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(/ (+ (* 1/3 (+ (* sinTheta_O sinTheta_i) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* v (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 2 (* sinTheta_O (* sinTheta_i v)))))) (pow v 3))
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1
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(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (neg.f32 sinTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))) (.f32 v (.f32 v v))))) (/.f32 (neg.f32 sinTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 v)
(*.f32 v #s(literal 1/2 binary32))
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(.f32 v (+.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) (*.f32 v v))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(.f32 v (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i)))) (.f32 v (.f32 v v))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v))) (.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32)))))
(* 1/2 v)
(*.f32 v #s(literal 1/2 binary32))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(neg.f32 (.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal -1/2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))
(.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (-.f32 #s(literal 0 binary32) (.f32 sinTheta_O sinTheta_i)))) v) (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) v)) v) #s(literal -1/2 binary32)) (neg.f32 v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))

eval329.0ms (1.6%)

Memory: -5.7MiB live, 695.2MiB allocated
Compiler: Compiled 84 686 to 6 957 computations (91.8% saved)

prune415.0ms (2%)

Memory

-26.4MiB live, 790.6MiB allocated

Pruning

77 alts after pruning (75 fresh and 2 done)

	Pruned	Kept	Total
New	2 273	33	2 306
Fresh	19	42	61
Picked	4	1	5
Done	0	1	1
Total	2 296	77	2 373

Accuracy

99.9%

Counts

2 373 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i))
	94.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	95.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_O (/.f32 cosTheta_i v))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	97.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_O (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (.f32 v v))
	95.0%	(/.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	59.8%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	59.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	65.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v)))
	59.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (pow.f32 (exp.f32 (log.f32 v)) #s(literal 2 binary32))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
▶	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
	59.8%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	93.2%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (/.f32 v cosTheta_O))) cosTheta_i))
	93.5%	(/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	60.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	92.8%	(.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 v #s(literal 2 binary32))))
	59.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	98.8%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	59.8%	(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	98.4%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (*.f32 v #s(literal 2 binary32))))))
	60.2%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
	95.1%	(.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	59.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.7%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1/2 binary32))))
	98.4%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) cosTheta_O)
	98.3%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))
▶	98.5%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	59.8%	(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
	59.8%	(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	65.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
	65.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
▶	98.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
	59.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
✓	59.8%	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
	98.5%	(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	98.4%	(.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v (/.f32 v cosTheta_O)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
▶	98.9%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	96.9%	(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
▶	59.8%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
	89.4%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 4 370 to 2 846 computations (34.9% saved)

simplify273.0ms (1.3%)

Memory

41.2MiB live, 623.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))
✓	cost-diff	0	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v)
✓	cost-diff	0	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32))))
✓	cost-diff	352	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
✓	cost-diff	128	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v))
✓	cost-diff	224	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
✓	cost-diff	160	(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32))
✓	cost-diff	224	(fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) v))
✓	cost-diff	416	(.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	0	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	0	(/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
✓	cost-diff	0	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	128	(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v))
✓	cost-diff	352	(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v))

Rules

6 058×	`-lowering-.f32`
6 058×	`-lowering-.f64`
5 338×	`accelerator-lowering-fma.f32`
5 338×	`accelerator-lowering-fma.f64`
2 362×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	780
1	201	755
2	764	735
3	3952	704
4	7472	704
0	8041	670

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* cosTheta_i (* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))
cosTheta_i
(* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))
(/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v)))
cosTheta_O
(* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))
(+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)
sinTheta_i
(+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))
1/2
(/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))
(* sinTheta_i (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
sinTheta_O
(* v v)
v
(/ sinTheta_O v)
1
(* (* 2 (sinh (/ 1 v))) v)
(* 2 (sinh (/ 1 v)))
2
(sinh (/ 1 v))
(/ 1 v)
(* cosTheta_i (* cosTheta_O (/ 1/2 v)))
cosTheta_i
(* cosTheta_O (/ 1/2 v))
cosTheta_O
(/ 1/2 v)
1/2
v
(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2)))
(* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))
v
(+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2)
-1
(/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)
(+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v)))
sinTheta_O
(* sinTheta_i 2)
sinTheta_i
2
(/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))
(+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3)
(+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))
(neg (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(/ (* -1/3 sinTheta_O) v)
(* -1/3 sinTheta_O)
-1/3
(neg v)
-2
(* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1))))
(/ 1/2 v)
1/2
v
(* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))
(sinh (/ 1 v))
(/ 1 v)
1
(* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1))
(+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)
sinTheta_i
(+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))
(/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))
(* sinTheta_i (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
sinTheta_O
(* v v)
(/ sinTheta_O v)
(* (* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2))) (/ 1 (* v (sinh (/ 1 v)))))
(* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2)))
(/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v)
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(+ (* sinTheta_i (/ sinTheta_O v)) 0)
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
0
(* cosTheta_i (* cosTheta_O 1/2))
cosTheta_i
(* cosTheta_O 1/2)
cosTheta_O
1/2
(/ 1 (* v (sinh (/ 1 v))))
1
(* v (sinh (/ 1 v)))
(sinh (/ 1 v))
(/ 1 v)

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

localize335.0ms (1.6%)

Memory

-16.9MiB live, 385.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.2%	(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.1%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32))))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
✓	accuracy	99.1%	(*.f32 #s(literal -1/3 binary32) sinTheta_O)
✓	accuracy	99.1%	(/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)
✓	accuracy	98.9%	(/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.5%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.2%	(*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.2%	(.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
✓	accuracy	99.1%	(/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
✓	accuracy	99.0%	(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.6%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

153.0ms

256×

valid

Compiler

Compiled 742 to 67 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-mult: 81.0ms (64.1% of total)

ival-div: 20.0ms (15.8% of total)

ival-add: 8.0ms (6.3% of total)

const: 8.0ms (6.3% of total)

ival-neg: 3.0ms (2.4% of total)

ival-sinh: 3.0ms (2.4% of total)

ival-exp: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series267.0ms (1.3%)

Memory

11.4MiB live, 329.2MiB allocated

Counts

28 → 972

Calls

Call 1

Inputs
#<alt (* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))>
#<alt (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))>
#<alt (* cosTheta_i (* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))>
#<alt (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v)))>
#<alt (* cosTheta_i (* cosTheta_O (/ 1/2 v)))>
#<alt (* cosTheta_O (/ 1/2 v))>
#<alt (/ 1/2 v)>
#<alt (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))>
#<alt (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))>
#<alt (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2)>
#<alt (/ (* cosTheta_i cosTheta_O) (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))))>
#<alt (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1))))>
#<alt (* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))))>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (* (* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2))) (/ 1 (* v (sinh (/ 1 v)))))>
#<alt (* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2)))>
#<alt (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v)>
#<alt (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))>
#<alt (sinh (/ 1 v))>
#<alt (* (* 2 (sinh (/ 1 v))) v)>
#<alt (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))>
#<alt (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)>
#<alt (* -1/3 sinTheta_O)>
#<alt (/ (* -1/3 sinTheta_O) v)>
#<alt (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))>
#<alt (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))>
#<alt (* v (sinh (/ 1 v)))>
#<alt (/ 1 (* v (sinh (/ 1 v))))>

Outputs
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O))) (pow sinTheta_i 3))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 2))>
#<alt (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i))) (pow sinTheta_O 3))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_O 2))>
#<alt (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))>
#<alt (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))>
#<alt (+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -2 (/ (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i)))))) (* -1/2 (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))) v)>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))) v)) (* -1/2 cosTheta_O)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* 1/2 (/ (+ (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))>
#<alt (/ sinTheta_O v)>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (/ sinTheta_O v)>
#<alt (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))>
#<alt (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))>
#<alt (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))>
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#<alt (/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/3))) (pow v 2))>
#<alt (/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) 1/3))) (pow v 2))>
#<alt (* -2 v)>
#<alt (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2))>
#<alt (* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))) (+ 2 (/ 1/3 (pow v 2)))))>
#<alt (* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3))))) (+ 2 (/ 1/3 (pow v 2)))))>
#<alt (* -2 v)>
#<alt (* -1 (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* -1 (* v (+ 2 (* -1 (/ (- (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v))) v)))))>
#<alt (* -1 (* v (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v)))))>
#<alt (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (* sinTheta_O (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (pow sinTheta_i 2) v)) (/ (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (* sinTheta_i (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (pow sinTheta_O 2) v)) (/ (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (* -1 (* (pow sinTheta_O 2) sinTheta_i))>
#<alt (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))>
#<alt (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))>
#<alt (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))>
#<alt (* -1 (* (pow sinTheta_O 2) sinTheta_i))>
#<alt (* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))>
#<alt (* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))>
#<alt (* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))>
#<alt (* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))>
#<alt (* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))>
#<alt (* -1 (* (pow sinTheta_O 2) sinTheta_i))>
#<alt (* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* (pow sinTheta_O 2) sinTheta_i))>
#<alt (* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)>
#<alt (/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)>
#<alt (/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)>
#<alt (* -1 (* (pow sinTheta_O 2) sinTheta_i))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (* -1 (* (pow sinTheta_O 2) sinTheta_i))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))>
#<alt (* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* sinTheta_O (+ (* -1 (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* sinTheta_O (+ (* -1 (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (+ (* -1 (/ (pow sinTheta_i 2) (pow v 2))) (* -1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) (+ (/ 1/3 (* sinTheta_O (pow v 2))) (* 2 (/ 1 sinTheta_O)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) (+ (/ 1/3 (* sinTheta_O (pow v 2))) (* 2 (/ 1 sinTheta_O)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* sinTheta_i (+ (* -1 (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (- (* sinTheta_i (+ (* -1 (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_i 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_i 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O (* sinTheta_i v))) (+ (* -1 (/ (pow sinTheta_O 2) (pow v 2))) (* -1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) (+ (/ 1/3 (* sinTheta_i (pow v 2))) (* 2 (/ 1 sinTheta_i)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) (+ (/ 1/3 (* sinTheta_i (pow v 2))) (* 2 (/ 1 sinTheta_i)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3)))>
#<alt (/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (pow v 3))>
#<alt (/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/3))) (pow v 3))>
#<alt (/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) 1/3))) (pow v 3))>
#<alt -2>
#<alt (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)>
#<alt (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))) (+ 2 (/ 1/3 (pow v 2))))>
#<alt (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3))))) (+ 2 (/ 1/3 (pow v 2))))>
#<alt -2>
#<alt (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))>
#<alt (* 3 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O sinTheta_i)))>
#<alt (* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 9 (/ (* cosTheta_O (* cosTheta_i (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))>
#<alt (* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (+ (* 9 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))))>
#<alt (* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (+ (* 9 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (+ (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* v (+ (* -54 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 3 (/ (* (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* sinTheta_O sinTheta_i)))))))))))))>
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#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/12 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/4 (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v))) (+ (* 1/4 (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (+ (* sinTheta_O (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
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#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* sinTheta_O (pow sinTheta_i 4)))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2)))) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* sinTheta_O (pow sinTheta_i 4)))) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2)))) (pow sinTheta_i 6))) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2)) (+ (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))))) (* (pow sinTheta_O 3) (pow sinTheta_i 6))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2)))) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))))))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) (pow sinTheta_i 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) 2)))) (pow sinTheta_i 6))) sinTheta_O))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) (pow sinTheta_i 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) 2)))) (pow sinTheta_i 6))))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))))) (pow sinTheta_i 6))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) 2)))) (pow sinTheta_i 6)))) sinTheta_O))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (+ (* sinTheta_i (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow sinTheta_O 4) sinTheta_i))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2)))) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow sinTheta_O 4) sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2)))) (pow sinTheta_O 6))) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2)) (+ (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))))) (* (pow sinTheta_O 6) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2)))) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))))))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) (pow sinTheta_O 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) 2)))) (pow sinTheta_O 6))) sinTheta_i))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) (pow sinTheta_O 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) 2)))) (pow sinTheta_O 6))))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))))) (pow sinTheta_O 6))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) 2)))) (pow sinTheta_O 6)))) sinTheta_i))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ 2 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (+ (* v (- (* v (+ (* -8 (/ (pow v 2) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 4 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 4 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 2 (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (/ 1/2 v)>
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#<alt (/ 1/2 v)>
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#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)>
#<alt (/ (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) v)>
#<alt (/ (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) (pow v 2)))>
#<alt (+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))) (/ sinTheta_O (pow v 2)))) (/ 1 v))>
#<alt (+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))) (/ sinTheta_O (pow v 2)))) (/ 1 v))>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) (pow v 2)))>
#<alt (+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))) (/ sinTheta_i (pow v 2)))) (/ 1 v))>
#<alt (+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))) (/ sinTheta_i (pow v 2)))) (/ 1 v))>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (exp (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (/ (* sinTheta_O sinTheta_i) v)) v)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ 1 v)>
#<alt (* -1 (/ (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* sinTheta_O sinTheta_i)) v)) 1) v))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))>
#<alt (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))>
#<alt (+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (/ 1/3 v)>
#<alt (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/3 (/ 1 v)))>
#<alt (+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* 1/3 (/ 1 v)))>
#<alt (+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* 1/3 (/ 1 v)))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_i 2) v)) (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_i 2) v)) (/ (pow sinTheta_O 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_O (pow v 2))) (* 1/3 (/ 1 (* sinTheta_i v)))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_O (pow v 2))) (* 1/3 (/ 1 (* sinTheta_i v)))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (/ 1/3 v)>
#<alt (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/3 (/ 1 v)))>
#<alt (+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v)))>
#<alt (+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v)))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_O 2) v)) (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_O 2) v)) (/ (pow sinTheta_i 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_i (pow v 2))) (* 1/3 (/ 1 (* sinTheta_O v)))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_i (pow v 2))) (* 1/3 (/ 1 (* sinTheta_O v)))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2)))>
#<alt (/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 2))>
#<alt (/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 2))>
#<alt (/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 2))>
#<alt (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v))>
#<alt (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v))>
#<alt (* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v))>
#<alt (* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v))>
#<alt (* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v))>
#<alt (/ 1/3 (pow v 2))>
#<alt (+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (/ 1/3 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (/ 1/3 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (/ 1/3 (pow v 2))>
#<alt (+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (/ 1/3 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (/ 1/3 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3)))>
#<alt (/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 3))>
#<alt (/ (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* v (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 2 (* sinTheta_O (* sinTheta_i v)))))) (pow v 3))>
#<alt (/ (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* v (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 2 (* sinTheta_O (* sinTheta_i v)))))) (pow v 3))>
#<alt (* 2 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 2 (* sinTheta_O sinTheta_i)))) v)>
#<alt (/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 2 (* sinTheta_O sinTheta_i)))) v)>
#<alt (* 2 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (- (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v))) v))>
#<alt (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v))>
#<alt (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v))>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 sinTheta_O)>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* -1/3 (/ sinTheta_O v))>
#<alt (* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))>
#<alt (/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)>
#<alt (/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)>
#<alt (/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ 1 (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 1/6 (/ (* sinTheta_O sinTheta_i) v))) v))) v)))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_i 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_i 2))))))>
#<alt (* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))) sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))) sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_O 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_O 2))))))>
#<alt (* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))) sinTheta_O)) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))) sinTheta_O)) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1>
#<alt (- 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))>
#<alt 1>
#<alt (- 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))>

Calls

243 calls:

Time	Variable		Point	Expression
60.0ms	v	@	0	(* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))
24.0ms	cosTheta_i	@	0	(* (* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2))) (/ 1 (* v (sinh (/ 1 v)))))
16.0ms	v	@	inf	(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))))
13.0ms	sinTheta_i	@	inf	(* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))
10.0ms	v	@	0	(* cosTheta_O (/ 1/2 v))

rewrite598.0ms (2.9%)

Memory

41.1MiB live, 580.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 700×	`-lowering-.f32`
5 700×	`-lowering-.f64`
4 648×	`/-lowering-/.f32`
4 648×	`/-lowering-/.f64`
3 580×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	468
1	369	438
2	3301	438
0	9369	420

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 876

Calls

Call 1

Inputs
(* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v))
(+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))
(* cosTheta_i (* (/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v))) (/ 1 v)))
(/ cosTheta_O (* (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1) (* (* 2 (sinh (/ 1 v))) v)))
(* cosTheta_i (* cosTheta_O (/ 1/2 v)))
(* cosTheta_O (/ 1/2 v))
(/ 1/2 v)
(* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))
(+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))
(+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2)
(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (* -1 (/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)) -2))))
(/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1))))
(* (* cosTheta_i cosTheta_O) (/ (/ 1/2 v) (* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))))
(* cosTheta_i cosTheta_O)
(* (* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2))) (/ 1 (* v (sinh (/ 1 v)))))
(* (/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v) (* cosTheta_i (* cosTheta_O 1/2)))
(/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) v)
(exp (+ (* sinTheta_i (/ sinTheta_O v)) 0))
(sinh (/ 1 v))
(* (* 2 (sinh (/ 1 v))) v)
(/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))
(/ (+ (* sinTheta_O (* sinTheta_i 2)) (/ (+ (* sinTheta_i (+ (* sinTheta_i (neg (* sinTheta_O sinTheta_O))) (/ (* -1/3 sinTheta_O) v))) -1/3) (neg v))) v)
(* -1/3 sinTheta_O)
(/ (* -1/3 sinTheta_O) v)
(* (sinh (/ 1 v)) (* v (+ (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))) (/ sinTheta_O v))) 1)))
(/ (* sinTheta_i (* sinTheta_O sinTheta_O)) (* v v))
(* v (sinh (/ 1 v)))
(/ 1 (* v (sinh (/ 1 v))))

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

simplify707.0ms (3.4%)

Memory

-11.0MiB live, 1 318.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 932×	`-lowering-.f32`
6 932×	`-lowering-.f64`
4 736×	`accelerator-lowering-fma.f32`
4 736×	`accelerator-lowering-fma.f64`
3 998×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2198	28416
1	6620	28416
0	8013	27318

Stop Event

1×	iter limit
1×	node limit

Counts

972 → 972

Calls

Call 1

Inputs
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 2))
(/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O))) (pow sinTheta_i 3))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 2))
(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 2))
(/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i))) (pow sinTheta_O 3))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_O 2))
(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* -4 (/ (* cosTheta_O v) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))
(+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -2 (/ (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i)))))) (* -1/2 (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))) v)
(* 1/2 (/ cosTheta_O v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))) v)) (* -1/2 cosTheta_O)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* 1/2 (/ (+ (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O)) v))
(/ sinTheta_O v)
(+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))
(/ sinTheta_O v)
(* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))
(* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))
(* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(/ (+ (* 1/2 (* (pow sinTheta_O 2) sinTheta_i)) (* sinTheta_O v)) (pow v 2))
(/ (+ (* 1/2 (* (pow sinTheta_O 2) sinTheta_i)) (* sinTheta_O v)) (pow v 2))
(/ (+ (* 1/2 (* (pow sinTheta_O 2) sinTheta_i)) (* sinTheta_O v)) (pow v 2))
(/ sinTheta_O v)
(/ (+ sinTheta_O (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)
(/ (+ sinTheta_O (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)
(/ (+ sinTheta_O (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v)
(/ sinTheta_O v)
(* -1 (/ (+ (* -1 sinTheta_O) (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))
(* -1 (/ (+ (* -1 sinTheta_O) (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))
(* -1 (/ (+ (* -1 sinTheta_O) (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O))) (pow sinTheta_i 3))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 2))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 2))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
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(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 2 (/ (* cosTheta_O v) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* v (+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
(* v (+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -2 (/ (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i)))))) (* -1/2 (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(* 1/2 cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))))
(* 1/2 cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ cosTheta_O v))
(* 1/2 (/ 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)
(* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2)))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (pow v 2))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/3))) (pow v 2))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) 1/3))) (pow v 2))
(* -2 v)
(* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2))
(* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))) (+ 2 (/ 1/3 (pow v 2)))))
(* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3))))) (+ 2 (/ 1/3 (pow v 2)))))
(* -2 v)
(* -1 (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* v (+ 2 (* -1 (/ (- (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v))) v)))))
(* -1 (* v (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v)))))
(* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (* sinTheta_O (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_O 2) (+ (* -1 (/ (pow sinTheta_i 2) v)) (/ (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))
(* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (* sinTheta_i (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (pow sinTheta_O 2) v)) (/ (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(* -1/3 (/ sinTheta_O v))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))
(* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))
(* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))
(* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))
(* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))
(* -1/3 (/ sinTheta_O v))
(* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))
(* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))
(* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
(* -1/3 (/ sinTheta_O v))
(/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)
(/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)
(/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* -1 (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* sinTheta_O (+ (* -1 (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* sinTheta_O (+ (* -1 (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (+ (* -1 (/ (pow sinTheta_i 2) (pow v 2))) (* -1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) (+ (/ 1/3 (* sinTheta_O (pow v 2))) (* 2 (/ 1 sinTheta_O)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) (+ (/ 1/3 (* sinTheta_O (pow v 2))) (* 2 (/ 1 sinTheta_O)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))
(* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* sinTheta_i (+ (* -1 (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(- (* sinTheta_i (+ (* -1 (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_i 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_i 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O (* sinTheta_i v))) (+ (* -1 (/ (pow sinTheta_O 2) (pow v 2))) (* -1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) (+ (/ 1/3 (* sinTheta_i (pow v 2))) (* 2 (/ 1 sinTheta_i)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) (+ (/ 1/3 (* sinTheta_i (pow v 2))) (* 2 (/ 1 sinTheta_i)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))
(* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3)))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (pow v 3))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/3))) (pow v 3))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) 1/3))) (pow v 3))
-2
(- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)
(- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))) (+ 2 (/ 1/3 (pow v 2))))
(- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3))))) (+ 2 (/ 1/3 (pow v 2))))
-2
(- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(* 3 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O sinTheta_i)))
(* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 9 (/ (* cosTheta_O (* cosTheta_i (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (+ (* 9 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))))
(* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (+ (* 9 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (+ (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* v (+ (* -54 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 3 (/ (* (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* sinTheta_O sinTheta_i)))))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/12 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/4 (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v))) (+ (* 1/4 (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (+ (* sinTheta_O (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* sinTheta_O (pow sinTheta_i 4)))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2)))) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* sinTheta_O (pow sinTheta_i 4)))) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2)))) (pow sinTheta_i 6))) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2)) (+ (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))))) (* (pow sinTheta_O 3) (pow sinTheta_i 6))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) 2)))) (* (pow sinTheta_O 2) (pow sinTheta_i 6)))))))) (pow sinTheta_O 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) (* sinTheta_O (pow sinTheta_i 4)))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) (pow sinTheta_i 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) 2)))) (pow sinTheta_i 6))) sinTheta_O))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))))) (pow sinTheta_i 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) 2)))) (pow sinTheta_i 6))))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))))) (pow sinTheta_i 6))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) 2)))) (pow sinTheta_i 6)))) sinTheta_O))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (+ (* sinTheta_i (+ (* -1 (/ (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))) (/ (* cosTheta_O (* cosTheta_i (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2))) (* v (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow sinTheta_O 4) sinTheta_i))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2)))) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* (pow sinTheta_O 4) sinTheta_i))) (+ (* -1 (/ (* (pow v 2) (* (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2)))) (pow sinTheta_O 6))) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2)) (+ (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))))) (* (pow sinTheta_O 6) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) 2)))) (* (pow sinTheta_O 6) (pow sinTheta_i 2)))))))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) (* (pow sinTheta_O 4) sinTheta_i))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) (pow sinTheta_O 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) 2)))) (pow sinTheta_O 6))) sinTheta_i))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))))) (pow sinTheta_O 4))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (+ (* -1 (/ (+ (* -1 (/ (* (pow v 2) (* (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) 2)))) (pow sinTheta_O 6))))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (* (+ 2 (* 1/3 (/ 1 (pow v 2)))) (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))))) (pow sinTheta_O 6))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* (pow v 5) (pow (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) 2)))) (pow sinTheta_O 6)))) sinTheta_i))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ 2 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -4 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O))) (pow sinTheta_i 3))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 2))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 2))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i))) (pow sinTheta_O 3))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_O 2))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))))
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(/ (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* v (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 2 (* sinTheta_O (* sinTheta_i v)))))) (pow v 3))
(* 2 (/ (* sinTheta_O sinTheta_i) v))
(/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)
(/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 2 (* sinTheta_O sinTheta_i)))) v)
(/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 2 (* sinTheta_O sinTheta_i)))) v)
(* 2 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (- (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v))) v))
(* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v))
(* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v))
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 sinTheta_O)
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* -1/3 (/ sinTheta_O v))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)
(/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)
(/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v))))
(+ 1 (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v)))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 1/6 (/ (* sinTheta_O sinTheta_i) v))) v))) v)))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_i 2))))))
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_i 2))))))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))) sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))) sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_O 2))))))
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_O 2))))))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))) sinTheta_O)) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))) sinTheta_O)) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
1
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
1
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))

Outputs
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 cosTheta_O (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (+ (* -4 (/ (* cosTheta_O v) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
(/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (.f32 #s(literal -4 binary32) (.f32 cosTheta_O v)) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) (*.f32 sinTheta_O sinTheta_O))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (pow v 2)) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 16 (/ (* cosTheta_O (pow v 3)) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O)) (* 4 (/ (* cosTheta_O v) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ cosTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
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(* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
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(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
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(/ sinTheta_O v)
(/.f32 sinTheta_O v)
(+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v)) (/.f32 sinTheta_O v))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))
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(+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))
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(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (.f32 v v))
(* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
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(* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 sinTheta_O (.f32 sinTheta_i v))))
(* sinTheta_i (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (/ sinTheta_O (* sinTheta_i v))))
(.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 sinTheta_O (.f32 sinTheta_i v))))
(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (.f32 v v))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))
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(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O (* sinTheta_i v))) (* -1/2 (/ (pow sinTheta_O 2) (pow v 2))))))
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(/.f32 sinTheta_O v)
(* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))
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(* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))
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(* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v)))
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(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)) (.f32 v v))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
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(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
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(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
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(* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))
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(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
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(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
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(* (pow sinTheta_O 2) (+ (* 1/2 (/ sinTheta_i (pow v 2))) (/ 1 (* sinTheta_O v))))
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(* 2 (/ (* cosTheta_O v) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (+ (* -4 (/ (* cosTheta_O (pow v 2)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O v) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
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(* 2 (/ (* cosTheta_O v) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* 2 (/ (* cosTheta_O v) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* v (+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
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(* v (+ (* 2 (/ cosTheta_O (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -4 (/ cosTheta_O (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -2 (/ (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i)))))) (* -1/2 (+ (* -16 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 8 (/ cosTheta_O (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(.f32 v (fma.f32 v (fma.f32 v (.f32 #s(literal -1/2 binary32) (fma.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 (.f32 (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) #s(literal -8 binary32)) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 #s(literal -16 binary32) cosTheta_O) (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) (.f32 (/.f32 cosTheta_O (.f32 (.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) #s(literal -8 binary32)))) (/.f32 (.f32 #s(literal -4 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) (/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))))
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 cosTheta_O (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (neg.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (neg.f32 (.f32 (.f32 cosTheta_O sinTheta_O) (.f32 sinTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))))) (fma.f32 (neg.f32 sinTheta_O) (.f32 sinTheta_i (fma.f32 cosTheta_O (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (neg.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))))) (.f32 v (.f32 v v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 cosTheta_O (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (neg.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (.f32 #s(literal 1/2 binary32) cosTheta_O))))
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal 1/2 binary32) cosTheta_O (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) v) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)))) v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/6 (* cosTheta_O (* sinTheta_O sinTheta_i))) (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))
(fma.f32 #s(literal 1/2 binary32) cosTheta_O (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))))) v) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))) v))) v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(* 1/2 (/ cosTheta_O v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2)))
(.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/3))) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i v)) (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) 1/3))) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(* -2 v)
(*.f32 #s(literal -2 binary32) v)
(* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2))
(.f32 v (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -2 binary32)))
(* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))) (+ 2 (/ 1/3 (pow v 2)))))
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(* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3))))) (+ 2 (/ 1/3 (pow v 2)))))
(.f32 v (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v (.f32 v v))) (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(* -2 v)
(*.f32 #s(literal -2 binary32) v)
(* -1 (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))))
(neg.f32 (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))))
(* -1 (* v (+ 2 (* -1 (/ (- (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v))) v)))))
(neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) v)) v) #s(literal 2 binary32))))
(* -1 (* v (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v)))))
(neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) v))) v) #s(literal 2 binary32))))
(* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(+ (* -1 (* sinTheta_O (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(.f32 #s(literal -1 binary32) (fma.f32 (.f32 sinTheta_O v) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(fma.f32 sinTheta_O (.f32 #s(literal -1 binary32) (fma.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))
(fma.f32 sinTheta_O (.f32 #s(literal -1 binary32) (fma.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (neg.f32 (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (neg.f32 (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (*.f32 sinTheta_O sinTheta_O)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (pow sinTheta_i 2) v)) (/ (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) sinTheta_O)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 v (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v))))))) sinTheta_O) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v))))))) sinTheta_O) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v))))
(* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(+ (* -1 (* sinTheta_i (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))))) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 (neg.f32 sinTheta_i) (.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v))))) (neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(fma.f32 sinTheta_i (.f32 #s(literal -1 binary32) (fma.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v))) (neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -1 (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(fma.f32 sinTheta_i (.f32 #s(literal -1 binary32) (fma.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) v))) (neg.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (neg.f32 (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (+ (* -1 (/ (* v (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (neg.f32 (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (pow sinTheta_O 2) v)) (/ (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) sinTheta_i)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 v (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v)) sinTheta_i) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_i) (neg.f32 (.f32 v (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v))))) sinTheta_i) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (* v (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))))) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_i) (neg.f32 (.f32 v (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v))))) sinTheta_i) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v))))
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i))
(* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))
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(* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))
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(* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (* -1/3 (/ sinTheta_O (* sinTheta_i v)))))
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(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))
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(* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))
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(* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (* sinTheta_i v))) (pow sinTheta_O 2))))
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(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))
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(* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))
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(* sinTheta_O (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/3 (/ 1 v))))
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(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
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(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
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(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
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(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i))
(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
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(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
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(* (pow sinTheta_O 2) (- (* -1 sinTheta_i) (* 1/3 (/ 1 (* sinTheta_O v)))))
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(* -1/3 (/ sinTheta_O v))
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(/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)
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(/ (+ (* -1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (* -1/3 sinTheta_O)) v)
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(* -1 (* (pow sinTheta_O 2) sinTheta_i))
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(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
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(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))
(* -1 (* (pow sinTheta_O 2) sinTheta_i))
(neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
(fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i)))
(+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))
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(* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))
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(- (* -1 (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (fma.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(- (* sinTheta_O (+ (* -1 (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (fma.f32 sinTheta_O (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v))))) #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(- (* sinTheta_O (+ (* -1 (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (fma.f32 sinTheta_O (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v))))) #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))) (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))) (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (*.f32 sinTheta_O sinTheta_O)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (+ (* -1 (/ (pow sinTheta_i 2) (pow v 2))) (* -1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O v)) (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v (.f32 v v)))) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) (+ (/ 1/3 (* sinTheta_O (pow v 2))) (* 2 (/ 1 sinTheta_O)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (.f32 v v))))) sinTheta_O) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3))))) (+ (/ 1/3 (* sinTheta_O (pow v 2))) (* 2 (/ 1 sinTheta_O)))) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (.f32 v v))))) sinTheta_O) (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))
(* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(- (* -1 (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (fma.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(- (* sinTheta_i (+ (* -1 (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (fma.f32 sinTheta_i (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v))))) #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(- (* sinTheta_i (+ (* -1 (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (fma.f32 sinTheta_i (.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v))))) #s(literal -2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_i 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))) (/.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_i 2))) (+ (* -1 (/ (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))) (/.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (*.f32 sinTheta_i sinTheta_i))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O (* sinTheta_i v))) (+ (* -1 (/ (pow sinTheta_O 2) (pow v 2))) (* -1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i v)) (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v (.f32 v v)))) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) (+ (/ 1/3 (* sinTheta_i (pow v 2))) (* 2 (/ 1 sinTheta_i)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (neg.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v))) (+.f32 (/.f32 #s(literal 2 binary32) sinTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i (.f32 v v))))) sinTheta_i) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3))))) (+ (/ 1/3 (* sinTheta_i (pow v 2))) (* 2 (/ 1 sinTheta_i)))) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (neg.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v))) (+.f32 (/.f32 #s(literal 2 binary32) sinTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i (.f32 v v))))) sinTheta_i) (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3)))
(/.f32 (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/3))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i v)) (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))
(/ (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* v (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) 1/3))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))
-2
#s(literal -2 binary32)
(- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)
(fma.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -2 binary32))
(- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))) (+ 2 (/ 1/3 (pow v 2))))
(fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3))))) (+ 2 (/ 1/3 (pow v 2))))
(fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (-.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v (.f32 v v))) (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
-2
#s(literal -2 binary32)
(- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)
(fma.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -2 binary32))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) v))) v) #s(literal -2 binary32))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -1/3 binary32))) v))) v) #s(literal -2 binary32))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ (* -1 (/ (- (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) sinTheta_i)) (* -1/3 (/ sinTheta_O v)))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2))))
(neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O v) (neg.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) #s(literal -1/3 binary32)) v))) v)) #s(literal -2 binary32)))))
(* 3 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O sinTheta_i)))
(.f32 #s(literal 3 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v v))) (*.f32 sinTheta_O sinTheta_i)))
(* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 9 (/ (* cosTheta_O (* cosTheta_i (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(.f32 (.f32 v v) (fma.f32 #s(literal 9 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))))
(* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (+ (* 9 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))))
(.f32 (.f32 v v) (fma.f32 v (fma.f32 v (fma.f32 #s(literal 27 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 #s(literal -18 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 #s(literal 9 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 #s(literal 3 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O sinTheta_i))))
(* (pow v 2) (+ (* 3 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* v (+ (* 9 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (+ (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* v (+ (* -54 (/ (* cosTheta_O (* cosTheta_i (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 3 (/ (* (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))) (* 27 (/ (* cosTheta_O (* cosTheta_i (pow (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* sinTheta_O sinTheta_i)))))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/3 binary32) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 1/12 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (- 1/3 (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)
(/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (neg.f32 (/.f32 (fma.f32 (neg.f32 sinTheta_O) (.f32 sinTheta_i (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/3 binary32) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))) (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1/3 binary32) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)))))) (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))) (.f32 v (.f32 v v))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1/3 binary32) (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))))) (.f32 v v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
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(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 2))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
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(/ (+ (* -1 (/ (+ (* 1/2 (/ (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* 2 (/ (* v (+ (* -16 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 8 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 16 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O)) (* 4 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
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(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
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(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) v))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 #s(literal 2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ 1/3 v)
(/.f32 #s(literal 1/3 binary32) v)
(+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/3 (/ 1 v)))
(fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v v)) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v)) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v v)) (/.f32 (.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v)) (/.f32 #s(literal 1/3 binary32) v))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_i 2) v)) (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) v)))))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_i 2) v)) (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) v)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_O (pow v 2))) (* 1/3 (/ 1 (* sinTheta_i v)))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_O (pow v 2))) (* 1/3 (/ 1 (* sinTheta_i v)))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) v)))
(/ 1/3 v)
(/.f32 #s(literal 1/3 binary32) v)
(+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/3 (/ 1 v)))
(fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (*.f32 v v)))) (/.f32 #s(literal 1/3 binary32) v))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v)))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (*.f32 v v)))) (/.f32 #s(literal 1/3 binary32) v))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_O 2) v)) (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/3 binary32) (.f32 (*.f32 sinTheta_O sinTheta_O) v)))))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (+ (/ 1/3 (* (pow sinTheta_O 2) v)) (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 #s(literal 1/3 binary32) (.f32 (*.f32 sinTheta_O sinTheta_O) v)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_i (pow v 2))) (* 1/3 (/ 1 (* sinTheta_O v)))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
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(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1/3 (/ sinTheta_i (pow v 2))) (* 1/3 (/ 1 (* sinTheta_O v)))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_i (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O v))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))
(* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2)))
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(/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (*.f32 v v))
(/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (*.f32 v v))
(/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 2))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (*.f32 v v))
(* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v))
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(/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) v)
(/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) v)
(* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v))
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(* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v))
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(* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v))
(neg.f32 (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1/3 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -1/3 binary32))) v))
(* -1 (/ (- (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/3 (/ (* sinTheta_O sinTheta_i) v))) 1/3) v))
(neg.f32 (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1/3 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -1/3 binary32))) v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (* 2 (/ sinTheta_i v)))) (* 1/3 (/ 1 (pow v 2))))
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(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))
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(+ (* sinTheta_O (+ (* 1/3 (/ sinTheta_i (pow v 3))) (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))
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(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2)))))
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(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (/ 1/3 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O (.f32 v (.f32 v v)))) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 sinTheta_O v)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)))) (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ sinTheta_i (* sinTheta_O (pow v 3)))) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (/ 1/3 (* (pow sinTheta_O 2) (pow v 2))) (/ (pow sinTheta_i 2) (pow v 2))))))
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(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
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(* (pow sinTheta_O 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_i v)) (* -1/3 (/ sinTheta_i (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (.f32 #s(literal -1/3 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (.f32 v v)))) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (* 2 (/ sinTheta_O v)))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 #s(literal 1/3 binary32) sinTheta_O) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(+ (* sinTheta_i (+ (* 1/3 (/ sinTheta_O (pow v 3))) (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))) (* 1/3 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (.f32 v v)))) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v (.f32 v v)))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (/ 1/3 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v (.f32 v v)))) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i v)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)))) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ sinTheta_O (* sinTheta_i (pow v 3)))) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (/ 1/3 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v (.f32 v v)))) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i v)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)))) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v)) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v)) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (+ (* -2 (/ sinTheta_O v)) (* -1/3 (/ sinTheta_O (pow v 3)))) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -2 binary32) sinTheta_O) v)) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i (.f32 v v)))) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 3)))
(/.f32 (.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))
(/ (+ (* -1 (* v (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3))) (* 1/3 (* sinTheta_O sinTheta_i))) (pow v 3))
(/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v)))
(/ (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* v (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 2 (* sinTheta_O (* sinTheta_i v)))))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))
(/ (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* v (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 2 (* sinTheta_O (* sinTheta_i v)))))) (pow v 3))
(/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) (.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v)))
(* 2 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) v)
(/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (* 2 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) v))) v)
(/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 2 (* sinTheta_O sinTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) v) (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))))) v)
(/ (+ (* -1 (/ (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3) v)) (+ (* 1/3 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 2 (* sinTheta_O sinTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) v) (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))))) v)
(* 2 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/3 (/ 1 v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)) v)) v))
(* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) v))) v))
(* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/3)) (* 1/3 (/ (* sinTheta_O sinTheta_i) v))) v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)) (neg.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32)))) v))) v))
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 sinTheta_O)
(*.f32 #s(literal -1/3 binary32) sinTheta_O)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* -1/3 (/ sinTheta_O v))
(/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
(/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 (.f32 sinTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) v)
(/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)
(/.f32 (fma.f32 v (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) v)
(/ (+ (* 1/4 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)
(/.f32 (fma.f32 v (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) v)
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v))))
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(+ 1 (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v)))))
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1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* -1 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) (* 1/6 (/ 1 v))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (neg.f32 sinTheta_O) sinTheta_i)) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 1/6 (/ (* sinTheta_O sinTheta_i) v))) v))) v)))
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(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.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 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.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 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_i 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) sinTheta_i) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_i 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) sinTheta_i) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
(* (pow sinTheta_i 2) (+ (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))) sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i))) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_i))) sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_i))) sinTheta_i))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(+ (* 1/2 (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_O (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))))
(+ (* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_O (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_O 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (+ (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O)) (* 1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (pow sinTheta_O 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) sinTheta_O) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* 1/4 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v))
(/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)
(* (pow sinTheta_O 2) (+ (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)) (* 1/2 (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))) sinTheta_O)) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O))) sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* -1/2 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) sinTheta_O))) sinTheta_O)) (* 1/4 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) v) (neg.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))) sinTheta_O))) sinTheta_O))))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 2 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))))
1
#s(literal 1 binary32)
(- 1 (* 1/6 (/ 1 (pow v 2))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32))))))
1
#s(literal 1 binary32)
(- 1 (* 1/6 (/ 1 (pow v 2))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 7/360 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 31/15120 binary32) (pow.f32 v #s(literal 6 binary32))))))

eval281.0ms (1.4%)

Memory: 21.2MiB live, 913.0MiB allocated
Compiler: Compiled 87 243 to 7 849 computations (91% saved)

prune846.0ms (4.1%)

Memory

-112.7MiB live, 960.9MiB allocated

Pruning

88 alts after pruning (85 fresh and 3 done)

	Pruned	Kept	Total
New	2 194	46	2 240
Fresh	31	39	70
Picked	4	1	5
Done	0	2	2
Total	2 229	88	2 317

Accuracy

99.9%

Counts

2 317 → 88

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.4%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	65.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.3%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_O (/.f32 cosTheta_i v))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
	95.0%	(/.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.8%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	59.8%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	59.9%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
	59.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (pow.f32 (exp.f32 (log.f32 v)) #s(literal 2 binary32))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
	36.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
	36.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
	65.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
	59.8%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	93.2%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 cosTheta_i cosTheta_O)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v (/.f32 v cosTheta_O))) cosTheta_i))
	64.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
	60.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	92.8%	(.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
	98.3%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
	59.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	59.8%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	98.4%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	65.2%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
	59.8%	(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
	98.9%	(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	65.2%	(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
	65.2%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	65.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
	98.4%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (*.f32 v #s(literal 2 binary32))))))
	95.1%	(.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))) (.f32 cosTheta_O cosTheta_i)))
	59.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.4%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) cosTheta_O)
	98.5%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (pow.f32 (pow.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
	98.6%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	94.1%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))) cosTheta_i) cosTheta_O)
	59.8%	(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
	98.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	65.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
	65.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
	71.1%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
	59.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
✓	59.8%	(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
	98.4%	(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_i (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
	98.8%	(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
	98.4%	(.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v (/.f32 v cosTheta_O)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.4%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.8%	(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) v)) cosTheta_O)))
	59.8%	(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
	98.9%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))) v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 1 binary32) (.f32 v v))))
	65.2%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
	65.2%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
	71.1%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal 1 binary32) v)))
	59.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
	98.8%	(.f32 cosTheta_i (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	96.9%	(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
✓	59.8%	(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
	65.2%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
	65.2%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
	89.4%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 7 349 to 2 551 computations (65.3% saved)

regimes423.0ms (2.1%)

Memory

3.1MiB live, 544.5MiB allocated

Counts

178 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
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(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (pow.f32 (pow.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(.f32 cosTheta_i (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
(/.f32 (.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (pow.f32 (exp.f32 (log.f32 v)) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1/2 binary32))))
(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1/2 binary32)))

Outputs

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

Calls

8 calls:

64.0ms	cosTheta_i
58.0ms	cosTheta_O
53.0ms	sinTheta_i
53.0ms	v
48.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
98.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes219.0ms (1.1%)

Memory

27.5MiB live, 378.9MiB allocated

Counts

87 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))) cosTheta_i) cosTheta_O)
(.f32 cosTheta_i (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)) v)) cosTheta_O)))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))) (.f32 cosTheta_O cosTheta_i)))

Outputs

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

Calls

8 calls:

37.0ms	cosTheta_i
31.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
27.0ms	v
26.0ms	sinTheta_i
24.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`v`
98.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes224.0ms (1.1%)

Memory

4.3MiB live, 308.9MiB allocated

Counts

83 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))) cosTheta_i) cosTheta_O)
(.f32 cosTheta_i (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Outputs

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

Calls

8 calls:

41.0ms	v
36.0ms	(*.f32 sinTheta_i sinTheta_O)
27.0ms	sinTheta_i
26.0ms	cosTheta_O
26.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`cosTheta_i`
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`v`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes199.0ms (1%)

Memory

16.2MiB live, 416.5MiB allocated

Counts

81 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))) cosTheta_i) cosTheta_O)
(.f32 cosTheta_i (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_O cosTheta_i)) (.f32 v (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))

Outputs

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

Calls

8 calls:

31.0ms	v
27.0ms	cosTheta_O
27.0ms	sinTheta_i
25.0ms	cosTheta_i
23.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta_O`
98.8%	1	`sinTheta_i`
98.8%	1	`sinTheta_O`
98.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.8%	1	`cosTheta_i`
98.8%	1	`v`
98.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes217.0ms (1.1%)

Memory

-36.3MiB live, 490.4MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (.f32 sinTheta_O sinTheta_i)) v)) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))) cosTheta_i) cosTheta_O)
(.f32 cosTheta_i (/.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))

Outputs

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

Calls

8 calls:

39.0ms	sinTheta_O
28.0ms	v
26.0ms	cosTheta_O
26.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
24.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes164.0ms (0.8%)

Memory

26.7MiB live, 341.2MiB allocated

Counts

72 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))

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

Calls

8 calls:

22.0ms	cosTheta_O
22.0ms	cosTheta_i
21.0ms	sinTheta_O
21.0ms	v
20.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes191.0ms (0.9%)

Memory

-21.7MiB live, 267.7MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (.f32 v (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (.f32 #s(literal 2 binary32) (/.f32 sinTheta_O v))))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))

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

Calls

8 calls:

39.0ms	(*.f32 sinTheta_i sinTheta_O)
28.0ms	v
24.0ms	sinTheta_O
21.0ms	cosTheta_i
20.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
98.6%	1	`v`
98.6%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes149.0ms (0.7%)

Memory

31.5MiB live, 305.5MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
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(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
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(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v))) v))) (/.f32 #s(literal 1 binary32) v)))

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes239.0ms (1.2%)

Memory

-39.4MiB live, 244.6MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))))) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i sinTheta_i))) (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v v))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 v #s(literal -2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal -1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (fma.f32 v (fma.f32 v #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 1/3 binary32) (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/3 binary32) (/.f32 sinTheta_O (.f32 sinTheta_i (.f32 v v))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (neg.f32 v)) v (.f32 v #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (/.f32 sinTheta_O (.f32 v v))) (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i v))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))) v) #s(literal -2 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))))) v)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O)) v) (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1 binary32) #s(literal -1/3 binary32))) (neg.f32 v))))) #s(literal -2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))

Outputs

(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)) #s(literal -1 binary32)) v)) (*.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))

Calls

8 calls:

52.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
38.0ms	(*.f32 cosTheta_i cosTheta_O)
33.0ms	v
22.0ms	cosTheta_O
17.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.1%	1	`cosTheta_i`
71.1%	1	`cosTheta_O`
71.1%	1	`sinTheta_O`
71.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
71.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.1%	1	`sinTheta_i`
71.1%	1	`v`
71.1%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes216.0ms (1.1%)

Memory

2.6MiB live, 161.6MiB allocated

Counts

62 → 1

Calls

Call 1

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

Outputs

(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))

Calls

8 calls:

38.0ms	v
38.0ms	cosTheta_i
34.0ms	sinTheta_i
17.0ms	sinTheta_O
17.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`cosTheta_i`
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_i`
65.2%	1	`sinTheta_O`
65.2%	1	`v`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes145.0ms (0.7%)

Memory

13.7MiB live, 133.0MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) (.f32 cosTheta_O cosTheta_i))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 #s(literal -1/3 binary32) sinTheta_O) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))

Outputs

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

Calls

8 calls:

38.0ms	sinTheta_i
26.0ms	cosTheta_O
19.0ms	(*.f32 sinTheta_i sinTheta_O)
13.0ms	v
12.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_O`
65.2%	1	`cosTheta_i`
65.2%	1	`sinTheta_i`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes162.0ms (0.8%)

Memory

-2.3MiB live, 118.6MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))

Outputs

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

Calls

8 calls:

50.0ms	cosTheta_O
39.0ms	(*.f32 cosTheta_i cosTheta_O)
29.0ms	v
9.0ms	cosTheta_i
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_O`
65.2%	1	`sinTheta_i`
65.2%	1	`v`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes123.0ms (0.6%)

Memory

-7.8MiB live, 71.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/3 binary32)) v)) (neg.f32 v)) #s(literal 2 binary32))))

Outputs

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

Calls

8 calls:

47.0ms	v
25.0ms	cosTheta_O
9.0ms	cosTheta_i
9.0ms	sinTheta_O
9.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_i`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`sinTheta_O`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`v`
65.2%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes84.0ms (0.4%)

Memory

2.5MiB live, 87.2MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))

Outputs

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

Calls

8 calls:

21.0ms	sinTheta_i
14.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
8.0ms	cosTheta_i
8.0ms	v
8.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_i`
65.2%	1	`v`
65.2%	1	`sinTheta_O`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`cosTheta_i`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes95.0ms (0.5%)

Memory

-5.2MiB live, 73.7MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) v)) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_i) (neg.f32 (.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/3 binary32))))) (.f32 v (.f32 v v))) #s(literal -2 binary32)))))

Outputs

(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))

Calls

8 calls:

36.0ms	cosTheta_O
13.0ms	(*.f32 sinTheta_i sinTheta_O)
8.0ms	v
8.0ms	cosTheta_i
8.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_i`
65.2%	1	`sinTheta_O`
65.2%	1	`v`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes72.0ms (0.4%)

Memory

14.5MiB live, 53.8MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

24.0ms	sinTheta_i
7.0ms	v
7.0ms	sinTheta_O
7.0ms	cosTheta_O
7.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`sinTheta_i`
65.2%	1	`sinTheta_O`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`cosTheta_i`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes86.0ms (0.4%)

Memory

9.2MiB live, 88.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O v))
(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (.f32 v #s(literal 1/2 binary32))))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (*.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32) #s(literal 2 binary32))))
(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)

Outputs
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))

Calls

8 calls:

23.0ms	(*.f32 cosTheta_i cosTheta_O)
22.0ms	sinTheta_i
7.0ms	cosTheta_O
7.0ms	v
7.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_i`
65.2%	1	`sinTheta_O`
65.2%	1	`v`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes83.0ms (0.4%)

Memory

9.9MiB live, 86.5MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

34.0ms	v
16.0ms	sinTheta_O
6.0ms	cosTheta_i
6.0ms	sinTheta_i
6.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
60.1%	1	`cosTheta_O`
60.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.1%	1	`sinTheta_i`
60.1%	1	`sinTheta_O`
60.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.1%	1	`cosTheta_i`
60.1%	1	`v`
60.1%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes43.0ms (0.2%)

Memory

-22.9MiB live, 57.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	(*.f32 sinTheta_i sinTheta_O)
7.0ms	(*.f32 cosTheta_i cosTheta_O)
4.0ms	sinTheta_O
4.0ms	v
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
59.9%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.9%	1	`cosTheta_i`
59.9%	1	`v`
59.9%	1	`sinTheta_i`
59.9%	1	`cosTheta_O`
59.9%	1	`sinTheta_O`
59.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes47.0ms (0.2%)

Memory

3.7MiB live, 42.8MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

25.0ms	(*.f32 cosTheta_i cosTheta_O)
3.0ms	cosTheta_i
3.0ms	v
3.0ms	cosTheta_O
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
59.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.8%	1	`v`
59.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.8%	1	`sinTheta_O`
59.8%	1	`cosTheta_i`
59.8%	1	`sinTheta_i`
59.8%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify36.0ms (0.2%)

Memory

-2.0MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Rules

190×	`*-commutative_binary32`
84×	`neg-sub0_binary32`
84×	`neg-mul-1_binary32`
84×	`+-commutative_binary32`
78×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	484
1	250	484
2	324	484
3	400	484
4	457	484
5	493	484
6	511	484
7	518	484
8	521	484
9	522	484

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))

Outputs
(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) v)))) (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))))
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)))))
(.f32 cosTheta_i (/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) #s(literal 1/2 binary32)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32))))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 1 binary32)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)) #s(literal -1 binary32)) v)) (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))))))
(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (.f32 v (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(.f32 (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))) cosTheta_i)
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)) (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_O #s(literal -1/3 binary32)) v)) #s(literal -1/3 binary32)) (neg.f32 v))) v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_O sinTheta_i))) (.f32 v v))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 v (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_i sinTheta_O))) #s(literal -1/3 binary32))) (.f32 #s(literal -1/3 binary32) (.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 0 binary32) (.f32 v v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (neg.f32 v) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal -1/3 binary32) #s(literal -1/3 binary32)) (neg.f32 v))) v) #s(literal -2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (neg.f32 v) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) v) #s(literal -2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))

soundness1.9s (9.3%)

Memory

25.5MiB live, 2 000.8MiB allocated

Rules

11 276×	`accelerator-lowering-fma.f32`
11 276×	`accelerator-lowering-fma.f64`
10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
9 374×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2198	28416
1	6620	28416
0	8013	27318
0	69	439
1	374	375
2	3294	374
0	9107	358
0	1536	20049
1	5343	19805
0	8108	19286
0	765	15418
1	2589	14787
0	8743	14571
0	334	3905
1	1040	3784
2	3835	3551
3	7017	3550
0	8065	3508
0	41	230
1	222	230
2	2052	222
0	8845	222
0	65	468
1	369	438
2	3301	438
0	9369	420
0	19	64
1	77	62
2	516	62
3	6807	62
0	8047	62

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
1×	iter limit
1×	node limit

Compiler

Compiled 1 267 to 674 computations (46.8% saved)

preprocess1.5s (7.4%)

Memory: 62.5MiB live, 2 014.2MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 11 954 to 6 754 computations (43.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	145	484
1	250	484
2	324	484
3	400	484
4	457	484
5	493	484
6	511	484
7	518	484
8	521	484
9	522	484

Iter	Nodes	Cost
0	145	484
1	250	484
2	324	484
3	400	484
4	457	484
5	493	484
6	511	484
7	518	484
8	521	484
9	522	484

analyze1.3s (6.5%)

sample2.3s (11%)

preprocess298.0ms (1.4%)

explain184.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify236.0ms (1.1%)

localize57.0ms (0.3%)

series54.0ms (0.3%)

rewrite257.0ms (1.3%)

simplify438.0ms (2.1%)

eval91.0ms (0.4%)

prune424.0ms (2.1%)

simplify345.0ms (1.7%)

localize181.0ms (0.9%)

series140.0ms (0.7%)

rewrite344.0ms (1.7%)

simplify614.0ms (3%)

eval379.0ms (1.8%)

prune374.0ms (1.8%)

simplify321.0ms (1.6%)

localize249.0ms (1.2%)

series160.0ms (0.8%)

rewrite475.0ms (2.3%)

simplify614.0ms (3%)

eval329.0ms (1.6%)

prune415.0ms (2%)

simplify273.0ms (1.3%)

localize335.0ms (1.6%)

series267.0ms (1.3%)

rewrite598.0ms (2.9%)

simplify707.0ms (3.4%)

eval281.0ms (1.4%)

prune846.0ms (4.1%)

regimes423.0ms (2.1%)

regimes219.0ms (1.1%)

regimes224.0ms (1.1%)

regimes199.0ms (1%)

regimes217.0ms (1.1%)

regimes164.0ms (0.8%)

regimes191.0ms (0.9%)

regimes149.0ms (0.7%)

regimes239.0ms (1.2%)

regimes216.0ms (1.1%)

regimes145.0ms (0.7%)

regimes162.0ms (0.8%)

regimes123.0ms (0.6%)

regimes84.0ms (0.4%)

regimes95.0ms (0.5%)

regimes72.0ms (0.4%)

regimes86.0ms (0.4%)

regimes83.0ms (0.4%)

regimes43.0ms (0.2%)

regimes47.0ms (0.2%)

simplify36.0ms (0.2%)

soundness1.9s (9.3%)

preprocess1.5s (7.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	145	484
1	250	484
2	324	484
3	400	484
4	457	484
5	493	484
6	511	484
7	518	484
8	521	484
9	522	484