Metrics for HairBSDF, Mp, upper

analyze578.0ms (2.9%)

Memory

-2.7MiB live, 1 183.4MiB 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)

sample2.6s (13.1%)

Memory

59.5MiB live, 3 807.0MiB allocated

Samples

2.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 494.0ms (32% of total)

ival-div: 255.0ms (16.5% of total)

const: 251.0ms (16.3% of total)

ival-<=: 247.0ms (16% of total)

ival-exp: 93.0ms (6% of total)

ival-sinh: 76.0ms (4.9% of total)

ival-and: 53.0ms (3.4% of total)

ival-neg: 37.0ms (2.4% of total)

ival-<: 19.0ms (1.2% of total)

exact: 16.0ms (1% of total)

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

Bogosity

preprocess341.0ms (1.7%)

Memory

-22.3MiB live, 369.1MiB 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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))

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)

explain284.0ms (1.4%)

Memory

9.5MiB live, 293.7MiB 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))`
3	(1.0842438754734152e-35 1.1925316074696207e-21 -2.261502172337945e-30 2.007986495626191e-16 0.13399377465248108)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	-	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	3	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	82

Confusion

	Predicted +	Predicted -
+	0	0
-	3	253

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	3	0	253

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

99.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 28.0ms (52.7% of total)

ival-div: 14.0ms (26.4% of total)

ival-sinh: 5.0ms (9.4% of total)

ival-exp: 4.0ms (7.5% of total)

ival-neg: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.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)

simplify298.0ms (1.5%)

Memory

-6.4MiB live, 184.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	64	(.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 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(exp (neg (/ (* sinTheta_i sinTheta_O) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(neg (/ (* sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
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)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #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)
2
#s(literal 2 binary32)

localize62.0ms (0.3%)

Memory

9.1MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.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))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.0%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

44.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 7.0ms (35.9% of total)

ival-mult: 7.0ms (35.9% of total)

ival-exp: 2.0ms (10.3% of total)

ival-sinh: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series91.0ms (0.5%)

Memory

-0.5MiB live, 72.5MiB allocated

Counts

7 → 276

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

69 calls:

Time	Variable		Point	Expression
30.0ms	v	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
13.0ms	cosTheta_O	@	0	(/ (* cosTheta_i cosTheta_O) 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))

rewrite355.0ms (1.8%)

Memory

-6.6MiB live, 393.8MiB 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	62
1	77	60
2	516	60
3	6807	60
0	8047	60

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 744

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

simplify895.0ms (4.4%)

Memory

-137.4MiB live, 672.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 298×	`accelerator-lowering-fma.f32`
10 298×	`accelerator-lowering-fma.f64`
5 322×	`-lowering-.f32`
5 322×	`-lowering-.f64`
3 040×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	3993
1	1010	3876
2	3767	3643
3	6903	3641
0	8202	3599

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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))))))
(/ (* 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))))))
(/ (* 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 (/ (* 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)))))))
(+ (* 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)))))))
(/ (* 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))))))
(/ (* 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))))))
(/ (* 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))))))
(* 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 (* 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)
(/ (+ (* -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)
(* 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 (/ (- (* -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))
(* -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 (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))))))
(/ (* 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))))))
(/ (* 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))))))
(/ (* 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))))))
(/ (* 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))))))
(/ (* 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))))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)

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

eval98.0ms (0.5%)

Memory: -14.6MiB live, 292.1MiB allocated
Compiler: Compiled 25 163 to 2 714 computations (89.2% saved)

prune172.0ms (0.9%)

Memory

-6.1MiB live, 405.3MiB allocated

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	985	35	1 020
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	986	35	1 021

Accuracy

99.8%

Counts

1 021 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.9%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
	95.2%	(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) 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))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) v))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.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 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	97.9%	(/.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
▶	56.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	95.1%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 (-.f32 (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))) #s(literal 2 binary32)) v))
	68.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) v) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) v))
	98.2%	(/.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))
	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	56.5%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) 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)))))
	54.9%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	91.3%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	93.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.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)))) #s(literal 1 binary32)))
	96.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.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 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
	98.7%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	98.0%	(.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
	98.5%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.7%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.3%	(.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) 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 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	89.9%	(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))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 2 076 to 1 396 computations (32.8% saved)

simplify301.0ms (1.5%)

Memory

-7.6MiB live, 510.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
✓	cost-diff	448	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	cost-diff	0	(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
✓	cost-diff	256	(.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	cost-diff	0	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
✓	cost-diff	0	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.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 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
✓	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 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
✓	cost-diff	64	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))

Rules

5 872×	`-lowering-.f32`
5 872×	`-lowering-.f64`
3 880×	`/-lowering-/.f32`
3 880×	`/-lowering-/.f64`
2 746×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	391
1	115	391
2	422	391
3	2114	386
4	3543	386
5	5435	386
6	7662	386
0	8588	386

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (0.8%)

Memory

18.9MiB live, 336.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	93.5%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓	accuracy	99.1%	(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.9%	(.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.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 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
✓	accuracy	99.1%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.4%	(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	99.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.2%	(/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.9%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

99.0ms

256×

valid

Compiler

Compiled 392 to 41 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 39.0ms (54.4% of total)

ival-mult: 23.0ms (32.1% of total)

ival-exp: 5.0ms (7% of total)

ival-neg: 2.0ms (2.8% of total)

ival-sinh: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series151.0ms (0.7%)

Memory

4.8MiB live, 282.7MiB allocated

Counts

22 → 756

Calls

Call 1

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

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)))))))>
#<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) (* (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_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)))))))>
#<alt (+ (* 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)))))))>
#<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 (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>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_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 (* 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))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (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 (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
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#<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 (/ (+ (* 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))>
#<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 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 (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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_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)))))))>
#<alt (+ (* 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)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 v)>
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#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))>
#<alt (* 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)))))))>
#<alt (* 2 v)>
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#<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 (/ (+ (* -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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#<alt (+ (* 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))))))>
#<alt (+ (* sinTheta_i (+ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
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#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 2>
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#<alt (+ 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))))))>
#<alt 2>
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#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
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#<alt (+ (* sinTheta_i (+ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
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#<alt (+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) v)))) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (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))>
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#<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 (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 v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ 1 v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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)))))) v)>
#<alt (/ 1 v)>
#<alt (* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 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 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
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#<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 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) 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)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>

Calls

189 calls:

Time	Variable		Point	Expression
28.0ms	cosTheta_i	@	inf	(* (/ 1/2 (* v (sinh (/ 1 v)))) (* cosTheta_i cosTheta_O))
11.0ms	sinTheta_O	@	inf	(* (* (exp (/ (* sinTheta_i sinTheta_O) (neg v))) cosTheta_O) (/ cosTheta_i (* (sinh (/ 1 v)) (* (* v 2) v))))
4.0ms	sinTheta_i	@	0	(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (/ (* sinTheta_i sinTheta_O) v)))) v))
2.0ms	sinTheta_i	@	inf	(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (/ (* sinTheta_i sinTheta_O) v)))) v))
2.0ms	v	@	inf	(* v (sinh (/ 1 v)))

rewrite360.0ms (1.8%)

Memory

9.6MiB live, 763.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 452×	`-lowering-.f32`
6 452×	`-lowering-.f64`
4 520×	`/-lowering-/.f32`
4 520×	`/-lowering-/.f64`
1 086×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	238
1	176	238
2	1175	233
0	8332	233

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 985

Calls

Call 1

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

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

simplify549.0ms (2.7%)

Memory

4.5MiB live, 1 082.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 166×	`accelerator-lowering-fma.f32`
11 166×	`accelerator-lowering-fma.f64`
8 266×	`-lowering-.f32`
8 266×	`-lowering-.f64`
3 826×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	778	14096
1	2497	13441
0	8382	13246

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

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

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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (.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)))))
(+ (* 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 cosTheta_O (neg.f32 (/.f32 (.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 sinTheta_i (.f32 #s(literal 1/2 binary32) (.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 (.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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.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 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) cosTheta_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))))) (/.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)))))))
(/ (* 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 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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) (* (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 (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (.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)))))
(+ (* 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 (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 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.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))))) (/.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 (+ (* -1/6 (/ (* 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 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.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)))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.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))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.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 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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.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 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (.f32 cosTheta_i (*.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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (.f32 cosTheta_i (.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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 sinTheta_O sinTheta_i)))) (.f32 v (.f32 v v))))) 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 (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32)) (.f32 (*.f32 cosTheta_O 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 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.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 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.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) (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) (-.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 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 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.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 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))))) (*.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (*.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) cosTheta_O) (*.f32 v v))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (neg.f32 (/.f32 (*.f32 cosTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v) (fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) cosTheta_O))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 cosTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v) (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 v (*.f32 v v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v)))))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/6 binary32))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32)))) (neg.f32 v))) v))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
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(fma.f32 sinTheta_i (fma.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 sinTheta_i (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_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 1/3 binary32)) (fma.f32 sinTheta_O (neg.f32 (/.f32 (neg.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))))) v)) (/.f32 (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_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)))))) (neg.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)))))) 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))))))
(/ (* 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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (neg.f32 cosTheta_O) (.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)))))
(+ (* 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 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.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))))) (/.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)))))))
(fma.f32 sinTheta_O (fma.f32 (.f32 sinTheta_O #s(literal -1/2 binary32)) (fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (.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))))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.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))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_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)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.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)))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.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 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) (* (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)
(*.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)
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.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)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.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)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.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)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.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)))
(* 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 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #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))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
(.f32 v (+.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))))) (.f32 v (*.f32 v v)))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(neg.f32 (.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)))
(neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.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) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32))))
(* -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)))
(neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.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_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) (neg.f32 v)) #s(literal -2 binary32))))
(* (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))))))
(fma.f32 (.f32 sinTheta_i (.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) 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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2
#s(literal 2 binary32)
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2
#s(literal 2 binary32)
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(/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v v)))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v v)))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v v)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 cosTheta_O cosTheta_i))

eval289.0ms (1.4%)

Memory: 19.9MiB live, 715.1MiB allocated
Compiler: Compiled 79 766 to 4 599 computations (94.2% saved)

prune353.0ms (1.8%)

Memory

-9.1MiB live, 763.1MiB allocated

Pruning

57 alts after pruning (55 fresh and 2 done)

	Pruned	Kept	Total
New	3 284	48	3 332
Fresh	23	7	30
Picked	3	2	5
Done	0	0	0
Total	3 310	57	3 367

Accuracy

99.9%

Counts

3 367 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) v))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.9%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	92.8%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (.f32 v (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O))
	53.1%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
	92.7%	(/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)) v)
	97.9%	(/.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	56.5%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	56.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.2%	(/.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))
▶	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
	56.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) v))
	97.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))))) v))
	98.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.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) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
	97.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))))) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) 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 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.6%	(/.f32 cosTheta_i (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O))
	57.1%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
	57.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
	93.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.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)))) #s(literal 1 binary32)))
	98.1%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	56.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (neg.f32 (.f32 v (*.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	56.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (neg.f32 (.f32 v v))) v)
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
	56.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	98.5%	(.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (.f32 cosTheta_O cosTheta_i))
	98.7%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 cosTheta_O v))
	56.5%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
▶	98.6%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	98.7%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) cosTheta_i)
	98.7%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
	56.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
	98.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
	56.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O cosTheta_i))
	98.7%	(.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	97.8%	(.f32 (.f32 (/.f32 cosTheta_O v) (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	56.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O)
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))
	98.1%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))))
	98.1%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))))
▶	56.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
▶	99.0%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	94.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	98.0%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.4%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	89.9%	(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))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 2 928 to 2 007 computations (31.5% saved)

simplify201.0ms (1%)

Memory

-0.8MiB live, 311.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
✓	cost-diff	192	(/.f32 (.f32 v (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O)
✓	cost-diff	448	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (.f32 v (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	192	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
✓	cost-diff	0	(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
✓	cost-diff	64	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	192	(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))

Rules

7 790×	`-lowering-.f32`
7 790×	`-lowering-.f64`
3 610×	`/-lowering-/.f32`
3 610×	`/-lowering-/.f64`
1 862×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	458
1	146	458
2	454	458
3	1542	448
4	6280	448
0	8814	435

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize194.0ms (1%)

Memory

-11.9MiB live, 273.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.3%	(.f32 v (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	93.5%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (.f32 v (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O))
✓	accuracy	99.4%	(/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.2%	(/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))
✓	accuracy	99.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
✓	accuracy	99.0%	(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
✓	accuracy	98.7%	(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
✓	accuracy	99.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)
✓	accuracy	99.1%	(/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.8%	(.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

115.0ms

256×

valid

Compiler

Compiled 446 to 54 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 42.0ms (46% of total)

ival-div: 33.0ms (36.2% of total)

ival-exp: 4.0ms (4.4% of total)

const: 4.0ms (4.4% of total)

ival-add: 3.0ms (3.3% of total)

ival-sinh: 2.0ms (2.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.4%)

Memory

30.0MiB live, 141.9MiB allocated

Counts

24 → 840

Calls

Call 1

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

Outputs
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) 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)))))))>
#<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)))))))>
#<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) (* (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_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)))))))>
#<alt (+ (* 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)))))))>
#<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 (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>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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))))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) 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 (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
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#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 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) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
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#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 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) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (+ (* 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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#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))>
#<alt (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))>
#<alt 2>
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#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (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 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) 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 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (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 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))>
#<alt (* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))>
#<alt (* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))>
#<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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* 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))) (* 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))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (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))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
#<alt (/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)>
#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)>
#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))>
#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))>
#<alt (* 2 v)>
#<alt (* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (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 (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<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 (/ (+ (* 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))>
#<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 cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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)))))))>
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#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ 1 v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ 1 v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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)))))) v)>
#<alt (/ 1 v)>
#<alt (* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2))))>
#<alt (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2))))>
#<alt (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2))))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2))))>
#<alt (+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))>
#<alt (+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 6))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (+ (* -1/5040 (/ cosTheta_i (pow v 6))) (+ (* 1/720 (/ cosTheta_i (pow v 6))) (* 1/36 (/ cosTheta_i (pow v 4)))))))))>
#<alt (/ 1/6 (pow v 2))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (/ 1/6 (pow v 2))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<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)>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (pow v 2)))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) (pow v 2))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 cosTheta_O))) (pow v 2))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))) (* 1/2 cosTheta_O)))) (pow v 2))>
#<alt (* 1/2 (/ cosTheta_O (pow v 2)))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) (pow v 2))>
#<alt (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) (* 1/2 cosTheta_O)) (pow v 2))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O)) (pow v 2))>
#<alt (* 1/2 (/ cosTheta_O (pow v 2)))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 (/ cosTheta_O (pow v 2))))>
#<alt (+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4)))))) (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))))))>
#<alt (+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 5))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 5))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (pow v 2)))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 (/ cosTheta_O (pow v 2))))>
#<alt (+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4)))))) (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))))))>
#<alt (+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 5))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ 2 cosTheta_i)>
#<alt (+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))>
#<alt (+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))>
#<alt (+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))>
#<alt (/ 2 cosTheta_i)>
#<alt (+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))>
#<alt (+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))>
#<alt (+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>

Calls

210 calls:

Time	Variable		Point	Expression
4.0ms	sinTheta_O	@	inf	(/ (* cosTheta_i cosTheta_O) (* (+ (* 2 (+ (* sinTheta_O (/ sinTheta_i v)) (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) 1/2)) 1/6) (* v v)))) 2) v))
3.0ms	cosTheta_i	@	0	(/ (* cosTheta_i cosTheta_O) (* (+ (* 2 (+ (* sinTheta_O (/ sinTheta_i v)) (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) 1/2)) 1/6) (* v v)))) 2) v))
3.0ms	v	@	0	(/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) 1/2)) 1/6) (* v v))
2.0ms	cosTheta_O	@	0	(/ (* cosTheta_i cosTheta_O) (* (+ (* 2 (+ (* sinTheta_O (/ sinTheta_i v)) (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) 1/2)) 1/6) (* v v)))) 2) v))
1.0ms	cosTheta_i	@	inf	(/ (* cosTheta_i cosTheta_O) (* (+ (* 2 (+ (* sinTheta_O (/ sinTheta_i v)) (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) 1/2)) 1/6) (* v v)))) 2) v))

rewrite349.0ms (1.7%)

Memory

14.9MiB live, 565.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 380×	`/-lowering-/.f32`
6 380×	`/-lowering-/.f64`
3 296×	`-lowering-.f32`
3 296×	`-lowering-.f64`
2 622×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	286
1	281	278
2	2388	277
0	8248	267

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 900

Calls

Call 1

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

Outputs
(pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 v #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (*.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_i #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) v) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (neg.f32 v)) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_i #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))) (.f32 (neg.f32 cosTheta_i) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))) (.f32 #s(literal 1 binary32) (neg.f32 cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)) (*.f32 cosTheta_i #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) v) (*.f32 (neg.f32 cosTheta_i) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (neg.f32 v)) (*.f32 (neg.f32 cosTheta_i) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (*.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (.f32 (/.f32 cosTheta_i v) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))) (*.f32 #s(literal 1/2 binary32) (neg.f32 cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal -1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))) (*.f32 #s(literal -1/2 binary32) (neg.f32 cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i v))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) v))
(/.f32 #s(literal 1/2 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (neg.f32 v))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (.f32 (.f32 v #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (neg.f32 v)))
(/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) v)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)))))
(/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (neg.f32 cosTheta_i) #s(literal 1 binary32)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) cosTheta_i) (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 cosTheta_i)) (.f32 (.f32 v #s(literal 2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(/.f32 (.f32 (neg.f32 cosTheta_i) #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) v))
(/.f32 (.f32 (neg.f32 cosTheta_i) #s(literal -1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (neg.f32 v)))
(/.f32 (.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 cosTheta_i v) #s(literal -1/2 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 cosTheta_i v)) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (neg.f32 cosTheta_i)) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 #s(literal -1/2 binary32) cosTheta_i) (.f32 (neg.f32 v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (neg.f32 cosTheta_i)) (.f32 (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (neg.f32 (.f32 cosTheta_i #s(literal 1/2 binary32))) (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 cosTheta_i (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 cosTheta_i)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
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(/.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v))) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/8 binary32) #s(literal 1/216 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (-.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/12 binary32))) (*.f32 v v))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal -1/36 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32)) (*.f32 v v))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) #s(literal 1 binary32))) (*.f32 v (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) (neg.f32 (neg.f32 (.f32 v (neg.f32 v)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v))) v)
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/8 binary32) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (neg.f32 (-.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/12 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v))
(.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v (neg.f32 v))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)))
(.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v))
(.f32 (pow.f32 (/.f32 (.f32 v v) (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/8 binary32) #s(literal 1/216 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal 1/36 binary32)) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/12 binary32)))))
(.f32 (pow.f32 (/.f32 (.f32 v v) (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) #s(literal 1/4 binary32) #s(literal -1/36 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32))))
(neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v sinTheta_i) (*.f32 sinTheta_O #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v sinTheta_i) (*.f32 #s(literal 1 binary32) sinTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))))
(/.f32 sinTheta_O (/.f32 v sinTheta_i))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 sinTheta_O) (neg.f32 (/.f32 v sinTheta_i)))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O))) v)
(/.f32 (*.f32 sinTheta_O #s(literal 1 binary32)) (/.f32 v sinTheta_i))
(/.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 v sinTheta_i))
(/.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 sinTheta_O #s(literal 1 binary32))) (neg.f32 (/.f32 v sinTheta_i)))
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) v)
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) sinTheta_O)) (neg.f32 (/.f32 v sinTheta_i)))
(/.f32 (neg.f32 (/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))) (neg.f32 v))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (.f32 sinTheta_i 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 sinTheta_i (/.f32 sinTheta_O v))
(.f32 sinTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_O))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(.f32 (neg.f32 (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(.f32 (.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(neg.f32 (/.f32 cosTheta_O (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 cosTheta_O (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_O v)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_O #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_O)))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (.f32 v (.f32 v #s(literal 2 binary32)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v (.f32 v #s(literal 2 binary32))))) (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v (*.f32 v #s(literal 2 binary32))))
(/.f32 (neg.f32 (.f32 cosTheta_O #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (neg.f32 (/.f32 cosTheta_O v)) (neg.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 cosTheta_O))) (neg.f32 (neg.f32 (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v (.f32 v #s(literal 2 binary32)))))) (neg.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (neg.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (neg.f32 (.f32 v (*.f32 v #s(literal 2 binary32)))))
(.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v #s(literal 2 binary32))) cosTheta_O) #s(literal -1 binary32)))
(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_O (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 cosTheta_O (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v (.f32 v #s(literal 2 binary32)))))
(.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v (.f32 v #s(literal 2 binary32)))) cosTheta_O)
(.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v (.f32 v #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))
(.f32 (/.f32 cosTheta_O (.f32 v (.f32 v #s(literal 2 binary32)))) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (pow.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) #s(literal -1 binary32)))
(pow.f32 (/.f32 cosTheta_i (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (/.f32 (neg.f32 v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 v (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta_i (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 cosTheta_i) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) v)))
(/.f32 (neg.f32 v) (neg.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta_i (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i)
(/.f32 (neg.f32 (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 cosTheta_i))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (neg.f32 cosTheta_i))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) v) (neg.f32 cosTheta_i))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 cosTheta_i)))
(/.f32 (neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))) (neg.f32 (neg.f32 cosTheta_i)))
(/.f32 (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) v)) (neg.f32 (neg.f32 cosTheta_i)))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) v))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 2 binary32) cosTheta_i))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(.f32 (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) cosTheta_i))

simplify1.0s (5.1%)

Memory

13.9MiB live, 831.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 172×	`-lowering-.f32`
8 172×	`-lowering-.f64`
6 728×	`accelerator-lowering-fma.f32`
6 728×	`accelerator-lowering-fma.f64`
4 334×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1200	16698
1	4036	16278
0	8478	15861

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

Inputs
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) 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 (/ (* 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 (* -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) (* (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 (/ (* 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)))))))
(+ (* 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)))))))
(/ (* 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))))))
(* 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 (* 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)
(/ (+ (* -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)
(* 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 (/ (- (* -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))
(* -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 (* -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))))))
(/ (* 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_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_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 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)
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(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow 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 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
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(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) 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))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* 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))))) (* 1/2 (* 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))) (* 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))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (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))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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)
(* 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)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) 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 v)
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(/ (* 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)))))))
(/ (* 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 (/ (* 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 (/ 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)))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(* cosTheta_i v)
(* -1 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* 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 (* -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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(/ (* 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) (* (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 (/ (* 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)))))))
(+ (* 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)))))))
(/ (* 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))))))
(* 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 (* 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)
(/ (+ (* -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)
(* 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 (/ (- (* -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))
(* -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 (* -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))))))
(/ (* 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))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ 2 (* cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(/ 2 (* cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -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)))))) v)
(/ 1 v)
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
cosTheta_i
(+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2))))
(- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2))))
(- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2))))))
cosTheta_i
(+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2))))
(+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))
(+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 6))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (+ (* -1/5040 (/ cosTheta_i (pow v 6))) (+ (* 1/720 (/ cosTheta_i (pow v 6))) (* 1/36 (/ cosTheta_i (pow v 4)))))))))
(/ 1/6 (pow v 2))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(/ 1/6 (pow v 2))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (pow v 2)))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 cosTheta_O))) (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))) (* 1/2 cosTheta_O)))) (pow v 2))
(* 1/2 (/ cosTheta_O (pow v 2)))
(/ (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) (* 1/2 cosTheta_O)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/2 (/ (+ (* -1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O)) (pow v 2))
(* 1/2 (/ cosTheta_O (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 (/ cosTheta_O (pow v 2))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4)))))) (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 5))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 5))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (pow v 2)))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 (/ cosTheta_O (pow v 2))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4)))))) (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 5))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ 2 cosTheta_i)
(+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))
(+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))
(+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))
(/ 2 cosTheta_i)
(+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))
(+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))
(+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)

Outputs
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 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_i v))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))))) v)
(* 1/2 (/ cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 cosTheta_i #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.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 cosTheta_O (.f32 cosTheta_i (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (/.f32 (*.f32 cosTheta_O sinTheta_O) (neg.f32 v))) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 cosTheta_O sinTheta_O) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 sinTheta_i v)) (.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (*.f32 v v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(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 (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(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 (neg.f32 v))) #s(literal 1 binary32))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
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(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
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(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
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(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* 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))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
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(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (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))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i 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 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i 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 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))))) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i 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 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i 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)))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_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))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O (fma.f32 #s(literal 2 binary32) sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (*.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (*.f32 sinTheta_i #s(literal -2 binary32))) 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))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i v) (.f32 #s(literal 2 binary32) sinTheta_O))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i v) (.f32 #s(literal 2 binary32) sinTheta_O))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (*.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (*.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i)))
(* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32)) v)
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)
(/.f32 (.f32 #s(literal 2 binary32) (fma.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)))) v)
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)
(/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) v)
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)
(/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) 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 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.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)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.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)))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -2 binary32) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(.f32 (+.f32 (/.f32 (.f32 #s(literal 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))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(.f32 (+.f32 (/.f32 (.f32 #s(literal 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))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 (.f32 cosTheta_i cosTheta_O) (.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 (/.f32 cosTheta_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 (.f32 cosTheta_O (.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)))))
(+ (* 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 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_O (fma.f32 (.f32 #s(literal -1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (.f32 cosTheta_O (.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))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.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)))))))
(+ (* 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)))))))
(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 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))))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.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))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 (.f32 cosTheta_i 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 -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.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))))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.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 cosTheta_i cosTheta_O) (.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) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (.f32 (-.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)))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* cosTheta_i v)
(*.f32 cosTheta_i v)
(* v (+ cosTheta_i (* -1/6 (/ cosTheta_i (pow v 2)))))
(.f32 v (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/6 binary32) cosTheta_i))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4)))) (* 1/6 (/ cosTheta_i (pow v 2)))))
(.f32 v (+.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (.f32 v v))))
(* v (- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2)))))))
(.f32 v (-.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 #s(literal -1/36 binary32) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/6 binary32) (*.f32 #s(literal 1/120 binary32) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))))))
(* cosTheta_i v)
(*.f32 cosTheta_i v)
(* -1 (* v (+ (* -1 cosTheta_i) (* 1/6 (/ cosTheta_i (pow v 2))))))
(neg.f32 (.f32 v (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/6 binary32) (neg.f32 cosTheta_i))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))) (* -1/6 (/ cosTheta_i (pow v 2))))))
(neg.f32 (.f32 v (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/6 binary32) cosTheta_i) (.f32 v v)))))
(* -1 (* v (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))))
(.f32 (-.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 cosTheta_i #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/6 binary32) (*.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32)))) (neg.f32 v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(/ 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 #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))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.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))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (neg.f32 (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.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 (/.f32 cosTheta_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 (.f32 cosTheta_O (.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)))))
(+ (* 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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cosTheta_i
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(- (+ cosTheta_i (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_i (pow v 4))) (+ (* 1/120 (/ cosTheta_i (pow v 4))) (* 1/6 (/ cosTheta_i (pow v 2))))))
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cosTheta_i
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(+ cosTheta_i (+ (* -1/6 (/ cosTheta_i (pow v 2))) (+ (* -1/120 (/ cosTheta_i (pow v 4))) (* 1/36 (/ cosTheta_i (pow v 4))))))
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(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (pow v 2)))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 v v))
(+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 (/ cosTheta_O (pow v 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (.f32 v v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (.f32 v (.f32 v v))))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4)))))) (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))))))
(fma.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) (.f32 cosTheta_O (/.f32 sinTheta_i (.f32 v (.f32 v v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 v v)))
(+ (* 1/2 (/ cosTheta_O (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 5))))))) (* -1/2 (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (/.f32 sinTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) v) (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 5 binary32))) #s(literal -1/3 binary32))) (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)))))) (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 v v)))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ cosTheta_O (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ 2 cosTheta_i)
(/.f32 #s(literal 2 binary32) cosTheta_i)
(+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))
(+.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 v v))))
(+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 v v)))) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))))
(+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 v v)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/2520 binary32) (.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))))))
(/ 2 cosTheta_i)
(/.f32 #s(literal 2 binary32) cosTheta_i)
(+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))
(+.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 v v))))
(+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 v v)))) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))))
(+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 v v)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/2520 binary32) (.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)

eval1.3s (6.6%)

Memory: -14.5MiB live, 337.8MiB allocated
Compiler: Compiled 54 952 to 4 463 computations (91.9% saved)

prune1.1s (5.7%)

Memory

15.4MiB live, 413.1MiB allocated

Pruning

77 alts after pruning (75 fresh and 2 done)

	Pruned	Kept	Total
New	1 967	41	2 008
Fresh	16	34	50
Picked	4	1	5
Done	1	1	2
Total	1 988	77	2 065

Accuracy

100.0%

Counts

2 065 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.8%	(/.f32 (fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (.f32 v v))) (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O))
	62.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
	62.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) v))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	92.8%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (.f32 (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_i))
	53.1%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
	92.6%	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 v (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O))
	92.7%	(/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	62.4%	(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
▶	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)) v)
	97.9%	(/.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	56.5%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	56.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.2%	(/.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))
	62.4%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v))
	35.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_i sinTheta_i)))))) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) (*.f32 v v)) v))
	97.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))))) v))
	98.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -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)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_i))) sinTheta_i))) v))
▶	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) v))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)))))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i))))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O))))
	98.6%	(/.f32 cosTheta_i (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O)))
	57.1%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)))
	61.8%	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	57.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
	93.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.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)))) #s(literal 1 binary32)))
	98.1%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	56.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (neg.f32 (.f32 v v))) v)
	62.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
	56.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	56.5%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)
	98.5%	(.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (.f32 cosTheta_O cosTheta_i))
	62.4%	(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
	56.5%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	98.2%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 v v)))
	62.4%	(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
	98.7%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
	56.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
	62.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
	98.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
▶	56.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.7%	(.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	56.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O)
	98.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))
✓	56.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.4%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 cosTheta_i)))))
▶	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))))
	94.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	94.5%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_i)) #s(literal -1 binary32))) (/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	98.4%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	62.4%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	98.7%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
▶	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))))
	89.9%	(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))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 4 286 to 2 824 computations (34.1% saved)

simplify1.3s (6.4%)

Memory

-5.1MiB live, 356.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	64	(.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) v))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))
✓	cost-diff	64	(-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))
✓	cost-diff	0	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))
✓	cost-diff	160	(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
✓	cost-diff	64	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	192	(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Rules

4 716×	`-lowering-.f32`
4 716×	`-lowering-.f64`
3 638×	`/-lowering-/.f32`
3 638×	`/-lowering-/.f64`
2 308×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	633
1	177	623
2	596	619
3	2357	607
4	3919	607
5	5521	607
0	8062	578

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize233.0ms (1.2%)

Memory

8.9MiB live, 416.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.3%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.0%	(.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) v)
✓	accuracy	98.8%	(/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))
✓	accuracy	98.7%	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓	accuracy	51.6%	(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O)))
✓	accuracy	99.3%	(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))
✓	accuracy	99.0%	(.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
✓	accuracy	98.7%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.1%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.9%	(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

115.0ms

256×

valid

Compiler

Compiled 610 to 63 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 37.0ms (41.2% of total)

ival-div: 32.0ms (35.7% of total)

const: 6.0ms (6.7% of total)

ival-add: 5.0ms (5.6% of total)

ival-exp: 2.0ms (2.2% of total)

ival-neg: 2.0ms (2.2% of total)

ival-sinh: 2.0ms (2.2% 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)

series167.0ms (0.8%)

Memory

7.2MiB live, 279.0MiB allocated

Counts

27 → 948

Calls

Call 1

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

Outputs
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<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)))))))>
#<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) (* (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_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)))))))>
#<alt (+ (* 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)))))))>
#<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 (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>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_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 (* 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 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (* 1/2 (/ (* cosTheta_i v) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i v))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))>
#<alt (* v (+ (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))>
#<alt (* v (+ (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 cosTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (pow v 3))) (* 1/2 cosTheta_i)) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))>
#<alt (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 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) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 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) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))>
#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))>
#<alt (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))>
#<alt (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))>
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#<alt (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))>
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#<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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* 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))) (* 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))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (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))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (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 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
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#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (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 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
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#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (* 1/2 (/ v (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))>
#<alt (* v (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i v)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ 1 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))>
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#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
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#<alt (/ 1/2 v)>
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#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* v (+ (* -4 (/ (pow v 3) (pow sinTheta_O 4))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) sinTheta_O)) (* -2 (/ (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 5)))) (pow sinTheta_i 3))) (/ v (pow sinTheta_O 2))) (+ (* -4 (/ (pow v 3) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (pow v 2) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) 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 (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ 1/6 (pow v 2))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))>
#<alt (/ 1/6 (pow v 2))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
#<alt (/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)>
#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)>
#<alt (/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))>
#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))>
#<alt (* 2 v)>
#<alt (* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 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) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 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) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2))>
#<alt (/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) (pow v 2))>
#<alt (/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2))))>
#<alt (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v))) v)))>
#<alt (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v))) v)))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (/ (pow sinTheta_i 2) (pow v 2))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))>
#<alt (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)>
#<alt (/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)>
#<alt (/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)>
#<alt (/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* 2 v)>
#<alt (* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)) v)) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)) v)) 2)))>
#<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))))))>

Calls

237 calls:

Time	Variable		Point	Expression
39.0ms	v	@	0	(* (/ cosTheta_O v) (* (exp (/ (* sinTheta_i sinTheta_O) (neg v))) cosTheta_i))
31.0ms	sinTheta_i	@	0	(* cosTheta_i (/ 1 (* v (+ (* 2 (+ (* sinTheta_i (/ sinTheta_O v)) (/ (+ (* 1/2 (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) 1/6) (* v v)))) 2))))
12.0ms	v	@	inf	(- (/ (* sinTheta_i sinTheta_i) (* v v)) (/ (+ (* (/ sinTheta_i v) -2) (/ (+ 2 (/ 1/3 (* v v))) (neg sinTheta_O))) sinTheta_O))
5.0ms	sinTheta_O	@	0	(* cosTheta_i (/ 1 (* v (+ (* 2 (+ (* sinTheta_i (/ sinTheta_O v)) (/ (+ (* 1/2 (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) 1/6) (* v v)))) 2))))
3.0ms	cosTheta_i	@	0	(/ (* cosTheta_i cosTheta_O) (* (* (* sinTheta_O sinTheta_O) (- (/ (* sinTheta_i sinTheta_i) (* v v)) (/ (+ (* (/ sinTheta_i v) -2) (/ (+ 2 (/ 1/3 (* v v))) (neg sinTheta_O))) sinTheta_O))) v))

rewrite324.0ms (1.6%)

Memory

-17.7MiB live, 578.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 642×	`-lowering-.f32`
4 642×	`-lowering-.f64`
4 200×	`/-lowering-/.f32`
4 200×	`/-lowering-/.f64`
3 388×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	431
1	360	405
2	3422	405
0	8519	384

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 779

Calls

Call 1

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

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

simplify593.0ms (2.9%)

Memory

25.2MiB live, 1 072.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 086×	`-lowering-.f32`
7 086×	`-lowering-.f64`
5 984×	`accelerator-lowering-fma.f32`
5 984×	`accelerator-lowering-fma.f64`
4 402×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1643	22939
1	5531	22584
0	8892	21819

Stop Event

1×	iter limit
1×	node limit

Counts

948 → 948

Calls

Call 1

Inputs
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ (* 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 (* -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) (* (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 (/ (* 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)))))))
(+ (* 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)))))))
(/ (* 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))))))
(* 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 (* 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)
(/ (+ (* -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)
(* 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 (/ (- (* -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))
(* -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 (* -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))))))
(/ (* 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_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_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 cosTheta_i) v))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(* 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_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(* 1/2 (/ (* cosTheta_i v) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i v))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* v (+ (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 cosTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (pow v 3))) (* 1/2 cosTheta_i)) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow 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 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) 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 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* 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))))) (* 1/2 (* 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))) (* 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))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (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))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (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))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* 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)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(* 1/2 (/ v (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* v (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i v)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ 1 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* v (- (* -1 (* v (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ 1 (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))))) (* 1/2 (/ 1 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ 1 (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ 1 (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))))) (* 1/2 (/ 1 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* -1/2 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 3)))) (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v)) (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (pow sinTheta_O 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (pow sinTheta_O 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ sinTheta_O (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (+ (* -4 (/ (pow sinTheta_O 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (pow sinTheta_O 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* -2 (/ (pow sinTheta_O 3) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))))) (+ (* -4 (/ (pow sinTheta_O 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (pow sinTheta_O 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ sinTheta_O (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ v (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (pow v 2) (* (pow sinTheta_O 3) sinTheta_i))) (/ v (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (pow v 3) (pow sinTheta_O 4))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ v (pow sinTheta_O 2))) (* 2 (/ (pow v 2) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* v (+ (* -4 (/ (pow v 3) (pow sinTheta_O 4))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) sinTheta_O)) (* -2 (/ (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 5)))) (pow sinTheta_i 3))) (/ v (pow sinTheta_O 2))) (+ (* -4 (/ (pow v 3) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (pow v 2) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ v (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (pow v 2) (* (pow sinTheta_O 3) sinTheta_i))) (/ v (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (pow v 3) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (pow v 2) (pow sinTheta_O 3)))) sinTheta_i)) (/ v (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* v (+ (* -4 (/ (pow v 3) (pow sinTheta_O 4))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i))) (* 2 (/ (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (* (pow sinTheta_O 5) sinTheta_i)))) (+ (* -4 (/ (pow v 3) (pow sinTheta_O 4))) (/ (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (pow v 2) (pow sinTheta_O 3)))) sinTheta_i)) (/ v (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (pow sinTheta_i 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (pow sinTheta_i 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ sinTheta_i (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (+ (* -4 (/ (pow sinTheta_i 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (pow sinTheta_i 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* -2 (/ (pow sinTheta_i 3) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3))))))) (+ (* -4 (/ (pow sinTheta_i 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (pow sinTheta_i 2) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ sinTheta_i (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ v (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
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(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (- (/ (pow sinTheta_i 2) (pow v 2)) (+ (* -2 (/ sinTheta_i (* sinTheta_O v))) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) (pow sinTheta_O 2))))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
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(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
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(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) 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))))))
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(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))
(* v (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) (* (pow sinTheta_O 3) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))
(* v (+ (* v (- (* -1 (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 3) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))
(* v (+ (* v (- (* v (- (* -1 (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 5) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))))) (* sinTheta_O (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 3) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))
(* 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 (* (pow sinTheta_O 2) (+ (* 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 (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))))) (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))) (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 (* (pow sinTheta_O 2) (+ (* 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (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 (/ (+ (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (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 (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))))))
(* 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 (* 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)
(/ (+ (* -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)
(* 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 (/ (- (* -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))
(* -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) (* (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 (* -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) (* (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 (/ (* 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)))))))
(+ (* 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)))))))
(/ (* 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))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ 1/6 (pow v 2))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(/ 1/6 (pow v 2))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) v)
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) 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 v)
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2))
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) (pow v 2))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2))))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2))))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v))) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v))) v)))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(/ (pow sinTheta_i 2) (pow v 2))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)
(* 2 v)
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2)))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2)))))
(* 2 v)
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)) v)) 2)))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))

Outputs
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 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_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 cosTheta_i #s(literal 1/2 binary32) (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32) (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal 7/360 binary32)) (.f32 cosTheta_i #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (fma.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.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 (/.f32 cosTheta_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 (.f32 cosTheta_O (.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)))))
(+ (* 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 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_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)))) (/.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_i cosTheta_O) (.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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_i (fma.f32 cosTheta_O (neg.f32 (/.f32 (.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 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.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)))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.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)))))))))
(/ (* 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_i cosTheta_O) (exp.f32 (neg.f32 (/.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 -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_i cosTheta_O) (exp.f32 (neg.f32 (/.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 -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_i cosTheta_O) (exp.f32 (neg.f32 (/.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 -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_i cosTheta_O) (exp.f32 (neg.f32 (/.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 -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_i cosTheta_O) (exp.f32 (neg.f32 (/.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 -1 binary32) 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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(/ (* 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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cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
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(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
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(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
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(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (neg.f32 (.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
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cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) v) (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) v))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/ 1/2 v)
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(/ 1/2 v)
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(/ 1/2 v)
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(/ 1/2 v)
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(/ 1/2 v)
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(/ 1/2 v)
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ cosTheta_i (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(* 1/2 (/ (* cosTheta_i v) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i v)) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))
(* v (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i v))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(.f32 v (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_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 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 v 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)) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))))))
(* v (+ (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(.f32 v (fma.f32 v (neg.f32 (fma.f32 v (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_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)) (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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i 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)) (.f32 (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 (.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 1/2 binary32) (.f32 cosTheta_i (.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)) (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_i #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 (+ (* 1/2 (/ cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ cosTheta_i (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(.f32 v (fma.f32 v (fma.f32 v (neg.f32 (fma.f32 v (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.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)) (.f32 (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 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))))) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_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)) (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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i 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)) (.f32 (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 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))))))) (neg.f32 (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 #s(literal 1/2 binary32) (/.f32 cosTheta_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)) (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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i 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)) (.f32 (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 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.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)) (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_i #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)))))
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 cosTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 (.f32 v v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (pow v 3))) (* 1/2 cosTheta_i)) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))) v)
(/.f32 (-.f32 (fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_O sinTheta_i)) (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.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))))) (neg.f32 (.f32 v (.f32 v v))))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v) (/.f32 (.f32 cosTheta_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 v v))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_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 -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.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))))) v)) (neg.f32 v))) (neg.f32 v))) v))
(/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
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(/.f32 (.f32 cosTheta_i v) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)))
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(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
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#s(literal 2 binary32)
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 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)))) #s(literal 2 binary32))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
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(* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
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(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
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(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) 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 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* 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))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
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(/.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (pow.f32 sinTheta_O #s(literal 4 binary32))) (/.f32 (.f32 #s(literal -4 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v))))) (pow.f32 sinTheta_O #s(literal 4 binary32)))) (neg.f32 (.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal -2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v v))) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_O sinTheta_O)))) (*.f32 sinTheta_i sinTheta_i))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
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(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v v))) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (*.f32 sinTheta_O sinTheta_O)))))
(* v (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) (* (pow sinTheta_O 3) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))
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(* v (+ (* v (- (* -1 (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 3) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))
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(* v (+ (* v (- (* v (- (* -1 (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 5) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))))) (* sinTheta_O (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 3)))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow sinTheta_O 3) (pow (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)) 2)))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) 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 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 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 (/.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_O))))) (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 (.f32 v v))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O)))) 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 (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))))) (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))) (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 (* (pow sinTheta_O 2) (+ (* 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)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (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))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (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))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (neg.f32 (.f32 v v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (neg.f32 (.f32 v v)))) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 4 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (neg.f32 (.f32 v v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) cosTheta_i)
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) cosTheta_i)
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_i (neg.f32 (/.f32 sinTheta_i v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) cosTheta_i)
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v))) cosTheta_i)
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (neg.f32 (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 cosTheta_i (fma.f32 cosTheta_i (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v (*.f32 v v)))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) v) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))) v))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(/ 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 #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))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.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)
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
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(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
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(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
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(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2))))))
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(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
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#s(literal 2 binary32)
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
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#s(literal 2 binary32)
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
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(/ (pow sinTheta_i 2) (pow v 2))
(/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))
(/ (pow sinTheta_i 2) (pow v 2))
(/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))
(/ (pow sinTheta_i 2) (pow v 2))
(/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))
(/ (pow sinTheta_i 2) (pow v 2))
(/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))
(/ (pow sinTheta_i 2) (pow v 2))
(/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v 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))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 #s(literal 2 binary32) sinTheta_i))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i sinTheta_i) v) (.f32 #s(literal 2 binary32) sinTheta_i))))
(/ (* (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) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O)) (/.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_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (*.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (*.f32 sinTheta_i #s(literal -2 binary32))) 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))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) sinTheta_O (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) v))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i (fma.f32 #s(literal 2 binary32) sinTheta_O (/.f32 (.f32 sinTheta_i (.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_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.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_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (*.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (*.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i)))
(/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (*.f32 sinTheta_O sinTheta_O)))) v)
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)
(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O (.f32 v sinTheta_i)) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (*.f32 sinTheta_O sinTheta_O))))) v)
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)
(/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (*.f32 sinTheta_O sinTheta_O))))) v)
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))) v)
(/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (*.f32 sinTheta_O sinTheta_O))))) 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 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2)))))
(.f32 v (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_O)))) (.f32 v v))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) (pow v 2)))))
(.f32 v (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_O)))) (.f32 v v))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(neg.f32 (.f32 v (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -2 binary32) #s(literal -2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)) v)) 2)))
(.f32 (+.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_O))) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2))) v)) v)) 2)))
(.f32 (+.f32 (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (fma.f32 sinTheta_i sinTheta_i (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_O))) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 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 -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 -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 -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 -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))))))
(+.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)))))
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)))))

eval193.0ms (1%)

Memory: -5.2MiB live, 490.7MiB allocated
Compiler: Compiled 61 347 to 4 829 computations (92.1% saved)

prune369.0ms (1.8%)

Memory

24.4MiB live, 825.8MiB allocated

Pruning

103 alts after pruning (99 fresh and 4 done)

	Pruned	Kept	Total
New	1 823	41	1 864
Fresh	12	58	70
Picked	3	2	5
Done	0	2	2
Total	1 838	103	1 941

Accuracy

100.0%

Counts

1 941 → 103

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
	35.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O sinTheta_O)) (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O)))))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_i)) v))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	92.8%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (.f32 (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) cosTheta_O)) cosTheta_i))
	53.1%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
	92.6%	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 v (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i)) cosTheta_O))
	92.7%	(/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	62.4%	(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
	98.6%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.3%	(/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	57.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)) v)
	97.9%	(/.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	62.4%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v)) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))
	56.5%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	56.6%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	96.9%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.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))
	62.4%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) (*.f32 v v)) v))
	37.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 v (neg.f32 v)) (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))))) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v sinTheta_O))) v))
	98.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -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)) v))
	62.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_i))) sinTheta_i))) v))
	56.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O)))) sinTheta_O) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) (/.f32 #s(literal -1 binary32) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v)))) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (/.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 v (neg.f32 v)) (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))))) (*.f32 v v)) sinTheta_O)) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (-.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (neg.f32 sinTheta_O)) (.f32 (.f32 v v) (neg.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)))))) (.f32 (*.f32 v v) (neg.f32 sinTheta_O)))) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_O sinTheta_O)) (fma.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 v (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 #s(literal 2 binary32) sinTheta_i) sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O))) v))
✓	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))) sinTheta_O))) v))
	35.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 v (neg.f32 v)) (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))))) (/.f32 #s(literal 1 binary32) (.f32 v (*.f32 v sinTheta_O))))) v))
	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)))))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i))))
	35.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O))))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	61.8%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O)))
	57.1%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)))
	61.8%	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v (.f32 cosTheta_i cosTheta_O))))
	57.1%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
	98.8%	(.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	93.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.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)))) #s(literal 1 binary32)))
	56.6%	(.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (neg.f32 (.f32 v v))) v)
	62.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	56.5%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	56.5%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)
	98.5%	(.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (.f32 cosTheta_O cosTheta_i))
	62.4%	(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
	56.5%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	35.2%	(.f32 (/.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))))))
	98.2%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 v v)))
	98.6%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) cosTheta_O)))
	35.1%	(.f32 (/.f32 cosTheta_O (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) (.f32 (.f32 sinTheta_O sinTheta_O) v))) cosTheta_i)
	62.4%	(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
	32.7%	(.f32 (/.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_i (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))))))
	98.7%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
	56.5%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
	35.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) (.f32 (.f32 sinTheta_O sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))
	98.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v)))
✓	56.5%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.7%	(.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) v) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	56.7%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (fma.f32 sinTheta_i (/.f32 sinTheta_i (.f32 v v)) (neg.f32 (/.f32 (fma.f32 sinTheta_i (/.f32 #s(literal -2 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O)))))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))
✓	56.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	98.3%	(.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.4%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 cosTheta_i)))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)))
	94.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	62.4%	(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))) cosTheta_i)
	94.5%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_i)) #s(literal -1 binary32))) (/.f32 cosTheta_O (.f32 (.f32 v (.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	62.4%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))
	98.4%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	62.4%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
	62.4%	(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) cosTheta_i)))
	62.4%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	98.5%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	62.4%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (.f32 v v))) (.f32 v #s(literal 2 binary32)) (.f32 v #s(literal 2 binary32))))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 v (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (.f32 v v)))) #s(literal 2 binary32) (.f32 v #s(literal 2 binary32))))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.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 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) v))))
	35.3%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (*.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O))))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) v)))) #s(literal 2 binary32))))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (/.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 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (.f32 v v))))))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))))
	35.2%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O)))))))
	56.5%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
	62.4%	(.f32 cosTheta_O (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) sinTheta_O) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))))
	89.9%	(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))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 7 205 to 2 728 computations (62.1% saved)

regimes405.0ms (2%)

Memory

-14.0MiB live, 810.0MiB allocated

Counts

166 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

86.0ms	sinTheta_i
52.0ms	cosTheta_O
47.0ms	cosTheta_i
46.0ms	v
43.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`
99.0%	1	`(/.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))`
99.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes350.0ms (1.7%)

Memory

-14.1MiB live, 581.4MiB allocated

Counts

118 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

90.0ms	sinTheta_i
58.0ms	cosTheta_O
35.0ms	v
35.0ms	sinTheta_O
34.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
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)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes243.0ms (1.2%)

Memory

-1.0MiB live, 428.3MiB allocated

Counts

96 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

44.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	(/.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))
30.0ms	v
27.0ms	cosTheta_O
26.0ms	cosTheta_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)

regimes238.0ms (1.2%)

Memory

22.3MiB live, 301.4MiB allocated

Counts

94 → 1

Calls

Call 1

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

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

Calls

8 calls:

56.0ms	cosTheta_O
30.0ms	sinTheta_O
28.0ms	(*.f32 cosTheta_i cosTheta_O)
26.0ms	v
24.0ms	(*.f32 sinTheta_i sinTheta_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)

regimes200.0ms (1%)

Memory

11.9MiB live, 327.2MiB allocated

Counts

85 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	(/.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))
25.0ms	v
25.0ms	sinTheta_O
24.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`cosTheta_O`
98.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`
98.4%	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))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes190.0ms (0.9%)

Memory

3.3MiB live, 356.2MiB allocated

Counts

84 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

25.0ms	(*.f32 cosTheta_i cosTheta_O)
24.0ms	cosTheta_O
24.0ms	cosTheta_i
23.0ms	v
23.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`cosTheta_i`
62.4%	1	`cosTheta_O`
62.4%	1	`sinTheta_i`
62.4%	1	`sinTheta_O`
62.4%	1	`v`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes154.0ms (0.8%)

Memory

0.2MiB live, 236.4MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

46.0ms	(*.f32 cosTheta_i cosTheta_O)
18.0ms	v
17.0ms	(*.f32 sinTheta_i sinTheta_O)
15.0ms	sinTheta_O
15.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
62.4%	1	`sinTheta_O`
62.4%	1	`sinTheta_i`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	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))`
62.4%	1	`cosTheta_i`
62.4%	1	`cosTheta_O`
62.4%	1	`v`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes107.0ms (0.5%)

Memory

-22.8MiB live, 265.2MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	cosTheta_O
14.0ms	v
13.0ms	(*.f32 sinTheta_i sinTheta_O)
13.0ms	sinTheta_i
13.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`sinTheta_i`
62.4%	1	`sinTheta_O`
62.4%	1	`cosTheta_i`
62.4%	1	`v`
62.4%	1	`cosTheta_O`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes44.0ms (0.2%)

Memory

9.5MiB live, 86.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	v
6.0ms	cosTheta_O
5.0ms	sinTheta_i
5.0ms	sinTheta_O
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
62.4%	1	`sinTheta_i`
62.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.4%	1	`v`
62.4%	1	`cosTheta_i`
62.4%	1	`sinTheta_O`
62.4%	1	`cosTheta_O`
62.4%	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))`
62.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes43.0ms (0.2%)

Memory

-1.5MiB live, 77.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	sinTheta_O
6.0ms	(/.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))
5.0ms	cosTheta_i
5.0ms	v
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
57.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
57.1%	1	`v`
57.1%	1	`sinTheta_i`
57.1%	1	`sinTheta_O`
57.1%	1	`cosTheta_O`
57.1%	1	`cosTheta_i`
57.1%	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))`
57.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes67.0ms (0.3%)

Memory

13.9MiB live, 51.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

8 calls:

37.0ms	v
4.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	sinTheta_O
4.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
57.1%	1	`sinTheta_i`
57.1%	1	`sinTheta_O`
57.1%	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))`
57.1%	1	`cosTheta_O`
57.1%	1	`v`
57.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.1%	1	`cosTheta_i`
57.1%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes44.0ms (0.2%)

Memory

-24.1MiB live, 51.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	v
4.0ms	(*.f32 cosTheta_i cosTheta_O)
4.0ms	cosTheta_i
4.0ms	sinTheta_i
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
56.6%	1	`v`
56.6%	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))`
56.6%	1	`sinTheta_i`
56.6%	1	`cosTheta_O`
56.6%	1	`sinTheta_O`
56.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.6%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes27.0ms (0.1%)

Memory

6.6MiB live, 45.9MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	(/.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))
3.0ms	v
3.0ms	cosTheta_i
3.0ms	sinTheta_i
3.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
56.5%	1	`v`
56.5%	1	`sinTheta_i`
56.5%	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))`
56.5%	1	`sinTheta_O`
56.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.5%	1	`cosTheta_O`
56.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.5%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes13.0ms (0.1%)

Memory

20.1MiB live, 20.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	v
2.0ms	(/.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))
2.0ms	cosTheta_i
1.0ms	sinTheta_O
1.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
56.5%	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))`
56.5%	1	`sinTheta_i`
56.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
56.5%	1	`v`
56.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
56.5%	1	`cosTheta_i`
56.5%	1	`cosTheta_O`
56.5%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify14.0ms (0.1%)

Memory

-12.3MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Rules

70×	`*-commutative_binary32`
16×	`+-commutative_binary32`
14×	`neg-sub0_binary32`
14×	`neg-mul-1_binary32`
14×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	215
1	122	215
2	134	215
3	149	215
4	157	215
5	161	215
6	162	215

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (8.5%)

Memory

-102.8MiB live, 1 457.1MiB allocated

Rules

11 166×	`accelerator-lowering-fma.f32`
11 166×	`accelerator-lowering-fma.f64`
10 298×	`accelerator-lowering-fma.f32`
10 298×	`accelerator-lowering-fma.f64`
8 266×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1200	16698
1	4036	16278
0	8478	15861
0	39	238
1	176	238
2	1175	233
0	8332	233
0	61	431
1	360	405
2	3422	405
0	8519	384
0	1643	22939
1	5531	22584
0	8892	21819
0	19	62
1	77	60
2	516	60
3	6807	60
0	8047	60
0	778	14096
1	2497	13441
0	8382	13246
0	52	286
1	281	278
2	2388	277
0	8248	267
0	321	3993
1	1010	3876
2	3767	3643
3	6903	3641
0	8202	3599

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 654 to 419 computations (35.9% saved)

preprocess824.0ms (4.1%)

Memory: -2.8MiB live, 1 271.7MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 3 896 to 2 590 computations (33.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze578.0ms (2.9%)

sample2.6s (13.1%)

preprocess341.0ms (1.7%)

explain284.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify298.0ms (1.5%)

localize62.0ms (0.3%)

series91.0ms (0.5%)

rewrite355.0ms (1.8%)

simplify895.0ms (4.4%)

eval98.0ms (0.5%)

prune172.0ms (0.9%)

simplify301.0ms (1.5%)

localize169.0ms (0.8%)

series151.0ms (0.7%)

rewrite360.0ms (1.8%)

simplify549.0ms (2.7%)

eval289.0ms (1.4%)

prune353.0ms (1.8%)

simplify201.0ms (1%)

localize194.0ms (1%)

series79.0ms (0.4%)

rewrite349.0ms (1.7%)

simplify1.0s (5.1%)

eval1.3s (6.6%)

prune1.1s (5.7%)

simplify1.3s (6.4%)

localize233.0ms (1.2%)

series167.0ms (0.8%)

rewrite324.0ms (1.6%)

simplify593.0ms (2.9%)

eval193.0ms (1%)

prune369.0ms (1.8%)

regimes405.0ms (2%)

regimes350.0ms (1.7%)

regimes243.0ms (1.2%)

regimes238.0ms (1.2%)

regimes200.0ms (1%)

regimes190.0ms (0.9%)

regimes154.0ms (0.8%)

regimes107.0ms (0.5%)

regimes44.0ms (0.2%)

regimes43.0ms (0.2%)

regimes67.0ms (0.3%)

regimes44.0ms (0.2%)

regimes27.0ms (0.1%)

regimes13.0ms (0.1%)

simplify14.0ms (0.1%)

soundness1.7s (8.5%)

preprocess824.0ms (4.1%)

end0.0ms (0%)

Profiling