Metrics for HairBSDF, Mp, upper

analyze853.0ms (3.8%)

Memory

-135.7MiB live, 1 162.3MiB 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 (11.7%)

Memory

63.1MiB live, 3 484.8MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 313.0ms (21.6% of total)

ival-<=: 310.0ms (21.4% of total)

ival-div: 287.0ms (19.8% of total)

const: 233.0ms (16.1% of total)

ival-sinh: 91.0ms (6.3% of total)

ival-exp: 85.0ms (5.9% of total)

ival-and: 51.0ms (3.5% of total)

ival-neg: 41.0ms (2.8% of total)

ival-<: 19.0ms (1.3% of total)

exact: 16.0ms (1.1% of total)

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

Bogosity

preprocess269.0ms (1.2%)

Memory

11.0MiB live, 565.9MiB 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 (/.f32 (*.f32 cosTheta_i cosTheta_O) 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))))

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)

explain384.0ms (1.7%)

Memory

17.9MiB live, 420.9MiB 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))`
2	(8.081320647626093e-20 2.0030582281813786e-13 -3.077737413840667e-22 5.4025572967558865e-25 0.23249958455562592)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(3.419561064938073e-36 3.665806200259247e-11 -0.16711103916168213 2.8949778772130452e-12 0.12334270775318146)	-	`(/.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	2	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	84
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	85

Confusion

	Predicted +	Predicted -
+	0	0
-	4	252

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	4	0	252

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

208.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-div: 122.0ms (68.9% of total)

ival-mult: 41.0ms (23.2% of total)

ival-sinh: 5.0ms (2.8% of total)

ival-exp: 4.0ms (2.3% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

eval0.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 26 to 18 computations (30.8% saved)

prune1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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))))
▶	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))

Status

Accuracy

Program

▶

98.5%

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

▶

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 53 to 37 computations (30.2% saved)

simplify337.0ms (1.5%)

Memory

-3.7MiB live, 476.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	cost-diff	0	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	0	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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))))
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	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))
✓	cost-diff	64	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))

Rules

8 272×	`-lowering-.f32`
8 272×	`-lowering-.f64`
3 740×	`accelerator-lowering-fma.f32`
3 740×	`accelerator-lowering-fma.f64`
3 398×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	174
1	70	174
2	268	170
3	1248	170
4	4313	170
5	5447	170
0	9671	170

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

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

localize123.0ms (0.6%)

Memory

-15.1MiB live, 139.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

64.0ms

256×

valid

Compiler

Compiled 174 to 26 computations (85.1% saved)

Precisions

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

ival-exp: 26.0ms (52.2% of total)

ival-div: 10.0ms (20.1% of total)

ival-mult: 10.0ms (20.1% of total)

ival-sinh: 3.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

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

series102.0ms (0.5%)

Memory

1.4MiB live, 231.1MiB allocated

Counts

11 → 408

Calls

Call 1

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

Outputs
#<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 (/ (* 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 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)))>
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#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
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#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
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#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
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#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
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#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<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 (/ (+ (* -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))>
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#<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)))))))>
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#<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)))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) v)>
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#<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 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 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 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (+ (* -1 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) 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 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) 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 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_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 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (* 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

102 calls:

Time	Variable		Point	Expression
9.0ms	sinTheta_i	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
6.0ms	cosTheta_O	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
5.0ms	sinTheta_O	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
2.0ms	sinTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

rewrite359.0ms (1.6%)

Memory

11.0MiB live, 392.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 744×	`-lowering-.f32`
4 744×	`-lowering-.f64`
4 174×	`/-lowering-/.f32`
4 174×	`/-lowering-/.f64`
1 594×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	106
1	108	106
2	735	106
3	6202	106
0	8056	106

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 107

Calls

Call 1

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

Outputs
(neg.f32 (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(exp.f32 (.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32))
(pow.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v))) (neg.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 v (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (neg.f32 v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (neg.f32 v))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.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 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) v)
(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32)) (/.f32 v cosTheta_O))
(/.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v)
(/.f32 (.f32 (neg.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))) (neg.f32 v))
(/.f32 (/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32)) v)
(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32)))
(.f32 cosTheta_i (.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (neg.f32 v)))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 1 binary32)))
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(/.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)))) v) (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (.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)))) v) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(.f32 v (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(.f32 v (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(.f32 v (.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 v #s(literal 2 binary32))))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)))
(.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(.f32 (neg.f32 v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (neg.f32 v))
(.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (.f32 v #s(literal -2 binary32)))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -2 binary32))
(.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 4 binary32))) #s(literal 1/2 binary32))
(.f32 (neg.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) v)
(.f32 (neg.f32 (.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (neg.f32 (.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))

simplify541.0ms (2.4%)

Memory

3.4MiB live, 703.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 026×	`accelerator-lowering-fma.f32`
9 026×	`accelerator-lowering-fma.f64`
7 194×	`-lowering-.f32`
7 194×	`-lowering-.f64`
2 490×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	542	7262
1	1820	6941
2	7301	6898
0	8062	6813

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

eval205.0ms (0.9%)

Memory: 8.6MiB live, 341.8MiB allocated
Compiler: Compiled 45 112 to 3 391 computations (92.5% saved)

prune331.0ms (1.5%)

Memory

-18.1MiB live, 518.0MiB allocated

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	1 779	32	1 811
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1 781	32	1 813

Accuracy

99.7%

Counts

1 813 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	94.5%	(/.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))
	94.9%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	98.3%	(/.f32 (/.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_i cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
▶	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.6%	(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 v #s(literal 2 binary32))))
	93.4%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	57.9%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))))))) v)) v)) (neg.f32 v))
	59.3%	(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	57.9%	(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
	59.4%	(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
	57.9%	(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) v))) v)) (neg.f32 v))
	57.8%	(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) (*.f32 v v))))) v)
	97.8%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
	98.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 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))))
	98.8%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 cosTheta_i cosTheta_O))
▶	98.6%	(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
▶	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
▶	59.3%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	98.7%	(.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)
	98.8%	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	98.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.8%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))

Compiler

Compiled 1 886 to 1 264 computations (33% saved)

simplify245.0ms (1.1%)

Memory

3.8MiB live, 368.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

6 658×	`-lowering-.f32`
6 658×	`-lowering-.f64`
3 062×	`/-lowering-/.f32`
3 062×	`/-lowering-/.f64`
1 512×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	381
1	124	381
2	413	380
3	1593	380
4	6579	380
0	8219	380

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (0.7%)

Memory

13.0MiB live, 399.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.4%	(/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.0%	(/.f32 cosTheta_O (*.f32 v v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	99.1%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.1%	(*.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

85.0ms

256×

valid

Compiler

Compiled 384 to 48 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-div: 32.0ms (51.3% of total)

ival-mult: 20.0ms (32.1% of total)

ival-exp: 4.0ms (6.4% of total)

ival-sinh: 3.0ms (4.8% of total)

ival-sub: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series241.0ms (1.1%)

Memory

27.9MiB live, 308.3MiB allocated

Counts

25 → 924

Calls

Call 1

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

Outputs
#<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)>
#<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 (/ 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)))))))>
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#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<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)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 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)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -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)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i 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)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* 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)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* 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)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_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 (/ (* 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)))))))>
#<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)))))))>
#<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)))))))>
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#<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) 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)>
#<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 (/ 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 (/ (* 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 (/ (* 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)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<alt (/ cosTheta_O (pow v 2))>
#<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))>

Calls

231 calls:

Time	Variable		Point	Expression
55.0ms	sinTheta_O	@	inf	(* (/ (/ cosTheta_O v) (exp (/ sinTheta_i (/ v sinTheta_O)))) (/ (/ 1/2 v) (sinh (/ 1 v))))
34.0ms	v	@	-inf	(/ (/ cosTheta_i 2) (sinh (/ 1 v)))
29.0ms	cosTheta_i	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (sinh (/ 1 v)) 2) v))
18.0ms	cosTheta_O	@	0	(* cosTheta_i cosTheta_O)
9.0ms	v	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (sinh (/ 1 v)) 2) v))

rewrite438.0ms (2%)

Memory

-3.1MiB live, 758.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 266×	`/-lowering-/.f32`
6 266×	`/-lowering-/.f64`
3 708×	`-lowering-.f32`
3 708×	`-lowering-.f64`
1 722×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	241
1	255	241
2	2242	240
0	8405	240

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 2 074

Calls

Call 1

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

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

simplify802.0ms (3.6%)

Memory

-2.2MiB live, 916.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 914×	`accelerator-lowering-fma.f32`
9 914×	`accelerator-lowering-fma.f64`
8 176×	`-lowering-.f32`
8 176×	`-lowering-.f64`
4 532×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	837	15590
1	2903	14895
0	8389	14734

Stop Event

1×	iter limit
1×	node limit

Counts

924 → 924

Calls

Call 1

Inputs
(/ (* 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)))))))
(/ (* 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))
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(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
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(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
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(/ cosTheta_O v)
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(/ cosTheta_O v)
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(/ cosTheta_O v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (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)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 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)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (* 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)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 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)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* 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)))))))
(/ (* 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)))))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ cosTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (* cosTheta_i v))
(* 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)))))
(* 1/2 (* cosTheta_i v))
(* -1 (* v (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2))))))
(* -1 (* v (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))))
(* -1 (* v (+ (* -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))))))))
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 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)
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
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1/2
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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 (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_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) 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)
(* 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)
(/ 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)))))
(/ (* 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)
(/ (* 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)
(* 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))))))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(/ cosTheta_O (pow v 2))
(* -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))

Outputs
(/ (* 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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (.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 (/ (+ (* -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)
(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) v) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))) (.f32 v v)))) (.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 (/ (+ (* -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)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (+.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)) (+.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))))) (.f32 v (.f32 v v))) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))) (.f32 v v)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v (*.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)))))))
(neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 sinTheta_O))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.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 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.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 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.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 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.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)))))))
(neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v (*.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)))))))
(neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 sinTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(neg.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v (*.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))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (+.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal -1/12 binary32))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/12 binary32))) v)) v)) (neg.f32 v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (neg.f32 (.f32 v v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v sinTheta_O)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (*.f32 v v)))
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(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (neg.f32 (.f32 v v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (neg.f32 (.f32 v v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) (neg.f32 sinTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (neg.f32 (.f32 v v)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (.f32 v v))
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(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (.f32 v v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
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(/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
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(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(.f32 (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (neg.f32 sinTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(neg.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(neg.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(neg.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_O)) (.f32 cosTheta_i (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_O)) (.f32 cosTheta_i (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_O)) (.f32 cosTheta_i (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v)
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.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_O cosTheta_i) (.f32 (.f32 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 v v) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (.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 (/ (+ (* -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)
(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) v) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))) (.f32 v v)))) (.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 (/ (+ (* -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)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) v) (+.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)) (+.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))))) (.f32 v (.f32 v v))) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O))))) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) sinTheta_O)))) (.f32 v v)))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) v))
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(*.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)
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1/2
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1/2
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* 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)
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(/ (* 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)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* 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)
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(/ (* 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)
(* 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)))
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(+.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 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
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(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(/ cosTheta_O (pow v 2))
(/.f32 cosTheta_O (*.f32 v v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))

eval595.0ms (2.7%)

Memory: -85.0MiB live, 776.4MiB allocated
Compiler: Compiled 78 016 to 5 120 computations (93.4% saved)

prune1.1s (5.2%)

Memory

13.6MiB live, 892.6MiB allocated

Pruning

44 alts after pruning (44 fresh and 0 done)

	Pruned	Kept	Total
New	3 145	39	3 184
Fresh	22	5	27
Picked	5	0	5
Done	0	0	0
Total	3 172	44	3 216

Accuracy

99.9%

Counts

3 216 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) v)
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
	95.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
	98.7%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
▶	98.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	65.2%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
▶	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	65.2%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
	78.0%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 (.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal 1 binary32)) cosTheta_i)))) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.8%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
	98.5%	(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))))
	59.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
	59.3%	(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
	60.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
	60.0%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 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))))
	98.4%	(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	97.3%	(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (/.f32 cosTheta_O v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	98.4%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
▶	98.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	59.3%	(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
	98.7%	(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) v))
	98.7%	(.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
	94.9%	(.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
	59.3%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
	98.8%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
	59.3%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
	98.7%	(.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v))))
▶	59.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v))
	98.8%	(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	95.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	98.8%	(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (+.f32 (.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 cosTheta_i (.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.8%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 v #s(literal 1/2 binary32)) v))))

Compiler

Compiled 2 424 to 1 576 computations (35% saved)

simplify294.0ms (1.3%)

Memory

31.1MiB live, 652.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	cost-diff	0	(.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	0	(-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
✓	cost-diff	0	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	32	(/.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))
✓	cost-diff	32	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	cost-diff	128	(.f32 (.f32 (/.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)) #s(literal 2 binary32)) v)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
✓	cost-diff	0	(-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
✓	cost-diff	0	(/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v)
✓	cost-diff	0	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))

Rules

5 986×	`-lowering-.f32`
5 986×	`-lowering-.f64`
5 576×	`/-lowering-/.f32`
5 576×	`/-lowering-/.f64`
2 528×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	490
1	132	485
2	434	482
3	1877	472
4	7885	472
0	9083	469

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* cosTheta_O (/ (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v))))
cosTheta_O
(/ (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v)
(- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))
cosTheta_i
(/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))
(/ v (* sinTheta_i sinTheta_O))
v
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1 v)
1
(/ 1/2 v)
1/2
(* (* cosTheta_i cosTheta_O) (/ 1/2 v))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ 1/2 v)
1/2
v
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))
(/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)
(* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_i
(* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v)
(* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2)
(/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))
(+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1)
(/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))
(+ 1/6 (/ 1/120 (* v v)))
1/6
(/ 1/120 (* v v))
1/120
(* v v)
(neg (* v v))
-1
(neg v)
2
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)
(* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_i
(* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1 v)
1
(/ 1/2 v)
1/2
(* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (/ 1/2 v) v) (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(/ 1 v)
1
v
(/ (/ (/ 1/2 v) v) (exp (/ sinTheta_i (/ v sinTheta_O))))
(/ (/ 1/2 v) v)
(/ 1/2 v)
1/2
(exp (/ sinTheta_i (/ v sinTheta_O)))
(/ sinTheta_i (/ v sinTheta_O))
sinTheta_i
(/ v sinTheta_O)
sinTheta_O

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

localize348.0ms (1.6%)

Memory

-31.3MiB live, 496.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.3%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) v)
✓	accuracy	98.8%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	99.1%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
✓	accuracy	98.9%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
✓	accuracy	99.0%	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	accuracy	98.9%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	98.1%	(/.f32 #s(literal 1/120 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 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.5%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	99.1%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	98.9%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

209.0ms

256×

valid

Compiler

Compiled 492 to 51 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

ival-div: 149.0ms (80.8% of total)

ival-mult: 15.0ms (8.1% of total)

const: 7.0ms (3.8% of total)

ival-sinh: 3.0ms (1.6% of total)

ival-exp: 2.0ms (1.1% of total)

ival-add: 2.0ms (1.1% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series116.0ms (0.5%)

Memory

-0.2MiB live, 119.5MiB allocated

Counts

25 → 864

Calls

Call 1

Inputs
#<alt (/ (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v)))>
#<alt (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v)>
#<alt (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))>
#<alt (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))>
#<alt (* (* cosTheta_i cosTheta_O) (/ 1/2 v))>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (/ 1/2 v)>
#<alt (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v)>
#<alt (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))>
#<alt (/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))>
#<alt (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))>
#<alt (/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v)))>
#<alt (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (/ 1/2 v) v) (exp (/ sinTheta_i (/ v sinTheta_O)))))>
#<alt (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))>
#<alt (sinh (/ 1 v))>
#<alt (/ (sinh (/ 1 v)) (/ 1/2 v))>
#<alt (* cosTheta_O (/ (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v))))>
#<alt (/ 1/120 (* v v))>
#<alt (+ 1/6 (/ 1/120 (* v v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (/ 1/2 v) v)>
#<alt (/ sinTheta_i (/ v sinTheta_O))>

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

Calls

216 calls:

Time	Variable		Expression
32.0ms	cosTheta_O	@	(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
29.0ms	cosTheta_O	@	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))
2.0ms	cosTheta_i	@	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))
1.0ms	sinTheta_O	@	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))
1.0ms	sinTheta_i	@	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))

rewrite774.0ms (3.5%)

Memory

-11.9MiB live, 606.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 420×	`/-lowering-/.f32`
5 420×	`/-lowering-/.f64`
4 552×	`-lowering-.f32`
4 552×	`-lowering-.f64`
1 832×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	286
1	307	283
2	2584	281
0	8144	276

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 093

Calls

Call 1

Inputs
(/ (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v)
(- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))
(/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))
(* (* cosTheta_i cosTheta_O) (/ 1/2 v))
(* cosTheta_i cosTheta_O)
(/ 1/2 v)
(* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v)
(/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (* (* (/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v)) 2) v))
(/ (+ (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v))) -1) (neg v))
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)
(- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))
(* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (/ 1/2 v) v) (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(sinh (/ 1 v))
(/ (sinh (/ 1 v)) (/ 1/2 v))
(* cosTheta_O (/ (/ (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))) v) (/ (sinh (/ 1 v)) (/ 1/2 v))))
(/ 1/120 (* v v))
(+ 1/6 (/ 1/120 (* v v)))
(/ (* sinTheta_O sinTheta_i) v)
(/ (/ 1/2 v) v)
(/ sinTheta_i (/ v sinTheta_O))

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

simplify586.0ms (2.6%)

Memory

37.8MiB live, 859.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 906×	`accelerator-lowering-fma.f32`
8 906×	`accelerator-lowering-fma.f64`
8 106×	`-lowering-.f32`
8 106×	`-lowering-.f64`
2 858×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	14549
1	2052	14057
2	7748	14057
0	8089	13924

Stop Event

1×	iter limit
1×	node limit

Counts

864 → 864

Calls

Call 1

Inputs
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/12 (/ cosTheta_i v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/12 cosTheta_i)) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/ cosTheta_i v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ cosTheta_i v)
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(/ cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(/ cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* 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))
(* 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)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/60 (pow v 4))
(/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 4))
(/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 4))
(/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 4))
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)))))
2
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(/ -1/120 (pow v 4))
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(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ -1/6 (pow v 2))
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(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
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(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 60 (* cosTheta_O (* cosTheta_i v)))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* v (+ (* -1200 (* cosTheta_O (* cosTheta_i v))) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ 1/120 (pow v 5))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 5))
(/ (+ 1/120 (* (pow v 2) (+ 1/6 (pow v 2)))) (pow v 5))
(/ (+ 1/120 (* (pow v 2) (+ 1/6 (pow v 2)))) (pow v 5))
(/ 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))))) 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 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (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)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 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)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (* 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)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 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)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* 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)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* 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)))))))
(/ (* 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)))))))
(/ (* 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))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* v (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))
(* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))
(* cosTheta_O (* cosTheta_i v))
(* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
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(* 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)))))
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(* 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
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2
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(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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)))))))
(+ (* -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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(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (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 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (pow v 2))
(/ 1/2 (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)

Outputs
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(* 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 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32))) (.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32))) (+.f32 (.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 (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i)))) v)
(/.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32))) (+.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/12 binary32)) (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.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))
(neg.f32 (/.f32 (+.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/12 (/ cosTheta_i v))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (-.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 cosTheta_i #s(literal -1/12 binary32)) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/12 cosTheta_i)) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (-.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1/12 binary32))) (.f32 cosTheta_i #s(literal 1/12 binary32))) v)) v)) (neg.f32 v))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_i) (*.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 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (/.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(-.f32 #s(literal 0 binary32) (.f32 sinTheta_O (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/.f32 (.f32 cosTheta_i (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/.f32 (.f32 cosTheta_i (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/.f32 (.f32 cosTheta_i (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v)) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(neg.f32 (/.f32 (.f32 cosTheta_i (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(neg.f32 (/.f32 (.f32 cosTheta_i (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(neg.f32 (/.f32 (.f32 cosTheta_i (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))) v))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(-.f32 #s(literal 0 binary32) (.f32 sinTheta_O (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 cosTheta_i v) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 v v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 cosTheta_i v) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 v v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 cosTheta_i v) sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 v v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(-.f32 #s(literal 0 binary32) (.f32 sinTheta_O (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (/.f32 (/.f32 cosTheta_i v) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (/.f32 (/.f32 cosTheta_i v) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(.f32 (-.f32 (/.f32 (.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (/.f32 (/.f32 cosTheta_i v) sinTheta_i)) (neg.f32 sinTheta_i))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(-.f32 #s(literal 0 binary32) (.f32 sinTheta_O (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 cosTheta_i v) sinTheta_O) (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 cosTheta_i v) sinTheta_O) (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 cosTheta_i v) sinTheta_O) (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(-.f32 #s(literal 0 binary32) (.f32 sinTheta_O (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) v) v)))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(.f32 sinTheta_O (.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) v) (/.f32 (/.f32 cosTheta_i v) sinTheta_O)) #s(literal -1 binary32)))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(.f32 sinTheta_O (.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) v) (/.f32 (/.f32 cosTheta_i v) sinTheta_O)) #s(literal -1 binary32)))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(.f32 sinTheta_O (.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v) v) (/.f32 (/.f32 cosTheta_i v) sinTheta_O)) #s(literal -1 binary32)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(.f32 cosTheta_i (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(.f32 cosTheta_i (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(.f32 cosTheta_i (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
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(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
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(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
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(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
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(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(neg.f32 (.f32 sinTheta_O (+.f32 (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_O v)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
(neg.f32 (.f32 sinTheta_O (+.f32 (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O))) (.f32 v v)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))))) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 sinTheta_O v)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))))))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
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(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
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(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
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(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
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(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
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(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
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(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
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(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
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(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))))
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(* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))))
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(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 60 (* cosTheta_O (* cosTheta_i v)))))
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(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))))))
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(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* v (+ (* -1200 (* cosTheta_O (* cosTheta_i v))) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ 1/120 (pow v 5))
(/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 5 binary32)))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 5))
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(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
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(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
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(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
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(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O 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 (/.f32 (*.f32 cosTheta_i cosTheta_O) 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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
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(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
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(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
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(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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cosTheta_i
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(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
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(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i))
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(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i))
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cosTheta_i
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(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
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(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(neg.f32 (.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i))
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(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
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cosTheta_i
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(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
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(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) 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 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v v) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) 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)))))))
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(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.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 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) 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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.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)))))))
(/.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i sinTheta_i)) sinTheta_O) cosTheta_O) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 (-.f32 (/.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_O (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* 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)

eval301.0ms (1.4%)

Memory: 17.6MiB live, 562.9MiB allocated
Compiler: Compiled 73 217 to 4 934 computations (93.3% saved)

prune369.0ms (1.7%)

Memory

-36.6MiB live, 823.3MiB allocated

Pruning

84 alts after pruning (83 fresh and 1 done)

	Pruned	Kept	Total
New	2 454	62	2 516
Fresh	18	21	39
Picked	4	1	5
Done	0	0	0
Total	2 476	84	2 560

Accuracy

99.9%

Counts

2 560 → 84

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) v)
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
	71.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v))) v)
	71.3%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.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))) (/.f32 v #s(literal 1/2 binary32)))
	71.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) v) (.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))) (/.f32 #s(literal -2 binary32) v)))
	71.3%	(/.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))) (.f32 v v)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	77.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))))
▶	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v)))) v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	65.2%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v #s(literal -1/6 binary32)))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))) #s(literal 2 binary32)) v))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	71.4%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))
	71.4%	(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) cosTheta_O) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	71.4%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
▶	98.9%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.8%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
	71.3%	(/.f32 (.f32 (.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
	98.5%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.8%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))))
	59.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
	59.3%	(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
	71.3%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))))
	71.3%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
	68.9%	(/.f32 #s(literal 1 binary32) (/.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v)) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)))
	68.9%	(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v)))))
	60.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
	68.9%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
	60.0%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 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))))
	97.3%	(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (/.f32 cosTheta_O v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	71.4%	(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	71.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
▶	98.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
	71.4%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))) (/.f32 cosTheta_O v))
	71.4%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.5%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
	71.4%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (neg.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))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
✓	98.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	59.3%	(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
	98.8%	(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v))
	71.4%	(.f32 (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) v))
	71.4%	(.f32 (/.f32 cosTheta_O (neg.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))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 v #s(literal 1/2 binary32))))
	98.7%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
▶	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
	71.4%	(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
	59.3%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
	98.8%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
	59.3%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
▶	59.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
	98.8%	(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	98.8%	(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	51.1%	(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i v) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O #s(literal 1200 binary32)))))))))
	55.9%	(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
	53.6%	(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
	71.4%	(.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))))
	95.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	98.8%	(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 cosTheta_i (.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	77.8%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))))
	71.4%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) v)) (/.f32 #s(literal 1/2 binary32) v))))
	71.4%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
	65.2%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (*.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)))))
	98.6%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))))
	71.4%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
	98.8%	(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	71.4%	(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
	98.9%	(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.3%	(.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	98.7%	(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
	98.7%	(.f32 cosTheta_O (.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)))

Compiler

Compiled 5 404 to 3 518 computations (34.9% saved)

simplify244.0ms (1.1%)

Memory

12.7MiB live, 475.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓	cost-diff	0	(.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))
✓	cost-diff	0	(/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	0	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
✓	cost-diff	0	(.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))
✓	cost-diff	0	(.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
✓	cost-diff	64	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
✓	cost-diff	0	(/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v)
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
✓	cost-diff	64	(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
✓	cost-diff	0	(.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))
✓	cost-diff	0	(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	64	(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))

Rules

5 270×	`/-lowering-/.f32`
5 270×	`/-lowering-/.f64`
5 160×	`-lowering-.f32`
5 160×	`-lowering-.f64`
1 892×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	548
1	162	530
2	523	530
3	2661	526
4	6965	526
0	8195	514

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v)))
(- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v))))
cosTheta_i
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(* sinTheta_i (/ sinTheta_O v))
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
(* cosTheta_O (/ 1 v))
cosTheta_O
(/ 1 v)
1
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1/2 v)
1/2
(* (* (/ 1/2 v) cosTheta_i) cosTheta_O)
(* (/ 1/2 v) cosTheta_i)
(/ 1/2 v)
1/2
v
cosTheta_i
cosTheta_O
(* (/ cosTheta_O v) (/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))))
(/ cosTheta_O v)
cosTheta_O
v
(/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v)))
(/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v)
(- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v))))
cosTheta_i
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(* sinTheta_i (/ sinTheta_O v))
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
(* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))
(- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v)))
-1
(/ (+ 1/6 (/ 1/120 (* v v))) (* v v))
(+ 1/6 (/ 1/120 (* v v)))
1/6
(/ 1/120 (* v v))
1/120
(* v v)
(/ -2 v)
-2
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))
(/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)
(* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_i
(* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v))))
(+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v))
1/60
(* (* (+ 1/3 (* 2 (* v v))) v) v)
(* (+ 1/3 (* 2 (* v v))) v)
(+ 1/3 (* 2 (* v v)))
1/3
(* 2 (* v v))
2
(* v v)
(* v (* v (* v v)))
(* v (* v v))
(* (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v)))) cosTheta_O)
(/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v))))
(- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v))))
cosTheta_i
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(* sinTheta_i (/ sinTheta_O v))
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
(* (sinh (/ 1 v)) (/ v (/ 1/2 v)))
(sinh (/ 1 v))
(/ 1 v)
1
(/ v (/ 1/2 v))
(/ 1/2 v)
1/2
cosTheta_O

Outputs
(/ (* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v)))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 cosTheta_O v))
(- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v))))
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
cosTheta_i
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v)
(* sinTheta_i (/ sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
v
(* cosTheta_O (/ 1 v))
(/.f32 cosTheta_O v)
cosTheta_O
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
(sinh (/ 1 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)
(* (* (/ 1/2 v) cosTheta_i) cosTheta_O)
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* (/ 1/2 v) cosTheta_i)
(/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
cosTheta_i
cosTheta_O
(* (/ cosTheta_O v) (/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))))
(/.f32 (/.f32 (/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 cosTheta_O v)) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (.f32 v v))) (*.f32 v v)))) #s(literal 1 binary32))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
v
(/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v)))
(/.f32 (/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) #s(literal -2 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (.f32 v v))) (.f32 v v)))) #s(literal 1 binary32))
(/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v)
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i v))
(- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v))))
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
cosTheta_i
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v)
(* sinTheta_i (/ sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))
(.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))) (/.f32 #s(literal -2 binary32) v))
(- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v)))
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (.f32 v v))) (.f32 v v)))
-1
#s(literal -1 binary32)
(/ (+ 1/6 (/ 1/120 (* v v))) (* v v))
(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))
(+ 1/6 (/ 1/120 (* v v)))
(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
1/6
#s(literal 1/6 binary32)
(/ 1/120 (* v v))
(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
1/120
#s(literal 1/120 binary32)
(* v v)
(*.f32 v v)
(/ -2 v)
(/.f32 #s(literal -2 binary32) v)
-2
#s(literal -2 binary32)
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 cosTheta_O v))
(* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
cosTheta_O
(- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
cosTheta_i
(* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
(/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v))))
(/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) #s(literal 2 binary32))))) (.f32 v (.f32 v (*.f32 v v))))
(+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v))
(+.f32 #s(literal 1/60 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) #s(literal 2 binary32)))))
1/60
#s(literal 1/60 binary32)
(* (* (+ 1/3 (* 2 (* v v))) v) v)
(.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) #s(literal 2 binary32))))
(* (+ 1/3 (* 2 (* v v))) v)
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 v v) #s(literal 2 binary32))))
(+ 1/3 (* 2 (* v v)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) #s(literal 2 binary32)))
1/3
#s(literal 1/3 binary32)
(* 2 (* v v))
(.f32 (.f32 v v) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(* v v)
(*.f32 v v)
(* v (* v (* v v)))
(.f32 v (.f32 v (*.f32 v v)))
(* v (* v v))
(.f32 v (.f32 v v))
(* (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v)))) cosTheta_O)
(/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 cosTheta_O v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v))))
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
cosTheta_i
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(/.f32 (.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O)) v)
(* sinTheta_i (/ sinTheta_O v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
v
(* (sinh (/ 1 v)) (/ v (/ 1/2 v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 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)
(/ v (/ 1/2 v))
(/.f32 v (/.f32 #s(literal 1/2 binary32) v))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
cosTheta_O

localize198.0ms (0.9%)

Memory

0.1MiB live, 365.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	99.2%	(/.f32 v (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.0%	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v))
✓	accuracy	99.1%	(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v)
✓	accuracy	98.9%	(/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (*.f32 v v))))
✓	accuracy	98.8%	(+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v)))
✓	accuracy	98.9%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	98.8%	(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v)))
✓	accuracy	98.7%	(.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))) (/.f32 #s(literal -2 binary32) v))
✓	accuracy	98.1%	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.6%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
✓	accuracy	99.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	accuracy	99.5%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.1%	(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))
✓	accuracy	98.9%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

103.0ms

256×

valid

Compiler

Compiled 552 to 59 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 27.0ms (36.6% of total)

ival-div: 25.0ms (33.8% of total)

const: 11.0ms (14.9% of total)

ival-add: 3.0ms (4.1% of total)

ival-sub: 3.0ms (4.1% of total)

ival-sinh: 3.0ms (4.1% of total)

exact: 1.0ms (1.4% of total)

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

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

series108.0ms (0.5%)

Memory

9.9MiB live, 165.5MiB allocated

Counts

29 → 948

Calls

Call 1

Inputs
#<alt (* cosTheta_O (/ 1 v))>
#<alt (/ (* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))>
#<alt (* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v)))>
#<alt (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))>
#<alt (* (* (/ 1/2 v) cosTheta_i) cosTheta_O)>
#<alt (* (/ 1/2 v) cosTheta_i)>
#<alt (/ 1/2 v)>
#<alt (/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v)))>
#<alt (* (/ cosTheta_O v) (/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))))>
#<alt (/ cosTheta_O v)>
#<alt (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v)>
#<alt (/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v)))) cosTheta_O)>
#<alt (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v))))>
#<alt (* sinTheta_i (/ sinTheta_O v))>
#<alt (sinh (/ 1 v))>
#<alt (/ (sinh (/ 1 v)) (/ 1/2 v))>
#<alt (/ 1/120 (* v v))>
#<alt (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))>
#<alt (+ 1/6 (/ 1/120 (* v v)))>
#<alt (+ 1/3 (* 2 (* v v)))>
#<alt (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v))))>
#<alt (* (+ 1/3 (* 2 (* v v))) v)>
#<alt (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v))>
#<alt (* (sinh (/ 1 v)) (/ v (/ 1/2 v)))>
#<alt (/ v (/ 1/2 v))>

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

Calls

237 calls:

Time	Variable		Point	Expression
43.0ms	cosTheta_O	@	0	(* (/ cosTheta_O v) (/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))))
3.0ms	cosTheta_i	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))
2.0ms	cosTheta_O	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))
2.0ms	cosTheta_i	@	0	(/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v)))
1.0ms	cosTheta_i	@	-inf	(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))

rewrite356.0ms (1.6%)

Memory

11.2MiB live, 559.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 314×	`-lowering-.f32`
5 314×	`-lowering-.f64`
4 622×	`/-lowering-/.f32`
4 622×	`/-lowering-/.f64`
1 962×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	351
1	350	347
2	3079	347
0	8110	335

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 993

Calls

Call 1

Inputs
(* cosTheta_O (/ 1 v))
(/ (* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(* (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* cosTheta_O (/ 1 v)))
(* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))
(* (* (/ 1/2 v) cosTheta_i) cosTheta_O)
(* (/ 1/2 v) cosTheta_i)
(/ 1/2 v)
(/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v)))
(* (/ cosTheta_O v) (/ (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v) (* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))))
(/ cosTheta_O v)
(/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) v)
(/ (/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v) (/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v)))))
(/ (* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) v)
(* cosTheta_O (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (/ (* sinTheta_O sinTheta_i) v))
(* (/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v)))) cosTheta_O)
(/ (- cosTheta_i (* cosTheta_i (* sinTheta_i (/ sinTheta_O v)))) (* (sinh (/ 1 v)) (/ v (/ 1/2 v))))
(* sinTheta_i (/ sinTheta_O v))
(sinh (/ 1 v))
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/ 1/120 (* v v))
(* (- -1 (/ (+ 1/6 (/ 1/120 (* v v))) (* v v))) (/ -2 v))
(+ 1/6 (/ 1/120 (* v v)))
(+ 1/3 (* 2 (* v v)))
(/ (+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v)) (* v (* v (* v v))))
(* (+ 1/3 (* 2 (* v v))) v)
(+ 1/60 (* (* (+ 1/3 (* 2 (* v v))) v) v))
(* (sinh (/ 1 v)) (/ v (/ 1/2 v)))
(/ v (/ 1/2 v))

Outputs
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(exp.f32 (*.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32)))
(pow.f32 (/.f32 v cosTheta_O) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v cosTheta_O) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 cosTheta_O v)
(/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v cosTheta_O)))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 cosTheta_O #s(literal -1 binary32)) (neg.f32 v))
(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 cosTheta_O (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v))) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v))) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (neg.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 cosTheta_O v)) (.f32 (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))) (.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 cosTheta_O v)) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) #s(literal 1 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) #s(literal 1 binary32)) (.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) #s(literal 1 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) #s(literal 1/2 binary32)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) #s(literal -1/2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))
(/.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32)) v)
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(/.f32 (+.f32 #s(literal 1/216000 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))) (+.f32 #s(literal 1/3600 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (-.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) #s(literal 1/60 binary32)))))
(/.f32 (+.f32 #s(literal 1/216000 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))) (+.f32 (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))) (-.f32 #s(literal 1/3600 binary32) (.f32 (.f32 #s(literal 1/60 binary32) v) (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))
(/.f32 (-.f32 #s(literal 1/3600 binary32) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))) (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/216000 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))))) (neg.f32 (+.f32 #s(literal 1/3600 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (-.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) #s(literal 1/60 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/3600 binary32) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))) (neg.f32 (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))
(/.f32 (-.f32 (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))) #s(literal 1/3600 binary32)) (-.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) #s(literal 1/60 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1/3600 binary32) (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))) (.f32 (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))) (.f32 (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))
(.f32 (+.f32 #s(literal 1/216000 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/3600 binary32) (.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))) (-.f32 (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))))) #s(literal 1/60 binary32))))))
(.f32 (-.f32 #s(literal 1/3600 binary32) (.f32 v (.f32 (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))))))))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.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) (*.f32 v v)))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 v (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)) (neg.f32 v)) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 v v))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v v)) #s(literal 2 binary32)))
(/.f32 (.f32 v (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 2 binary32)))
(/.f32 (.f32 (neg.f32 v) (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (/.f32 #s(literal -1/2 binary32) v) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 v (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 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))
(/.f32 (.f32 (/.f32 (.f32 v v) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))
(/.f32 (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v)
(.f32 (/.f32 (.f32 v v) #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal 1/2 binary32)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 v (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (/.f32 v #s(literal 1/2 binary32)))
(.f32 (/.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32)) (neg.f32 v))
(neg.f32 (/.f32 v (/.f32 #s(literal -1/2 binary32) v)))
(neg.f32 (/.f32 (neg.f32 v) (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v v))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)))
(/.f32 v (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(/.f32 (*.f32 v v) #s(literal 1/2 binary32))
(/.f32 (neg.f32 v) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (neg.f32 (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))
(*.f32 v (/.f32 v #s(literal 1/2 binary32)))
(.f32 (.f32 v v) #s(literal 2 binary32))
(.f32 #s(literal 2 binary32) (.f32 v v))
(.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) #s(literal -1 binary32)))
(*.f32 (neg.f32 v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)))
(*.f32 (/.f32 v #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 v #s(literal -1/2 binary32)) (neg.f32 v))

simplify643.0ms (2.9%)

Memory

18.3MiB live, 1 094.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 312×	`accelerator-lowering-fma.f32`
9 312×	`accelerator-lowering-fma.f64`
7 534×	`-lowering-.f32`
7 534×	`-lowering-.f64`
2 664×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	16218
1	1916	15787
2	7031	15779
0	8390	15402

Stop Event

1×	iter limit
1×	node limit

Counts

948 → 948

Calls

Call 1

Inputs
(/ 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_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -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)))))))
(+ (* -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)))))))
(+ (* -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)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (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)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (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)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 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)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (* 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)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 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)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* 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_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ 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)
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -60 (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 3)))))
(* (pow v 3) (+ (* -60 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 60 (* cosTheta_i v))))
(* (pow v 3) (+ (* -60 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* v (+ (* 60 cosTheta_i) (* 1200 (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))
(* (pow v 3) (+ (* -60 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* v (+ (* 60 cosTheta_i) (* v (+ (* -1200 (* cosTheta_i v)) (* 1200 (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* 1/12 (/ cosTheta_i v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 cosTheta_i) (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 60 (* cosTheta_O (* cosTheta_i v)))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* v (+ (* -1200 (* cosTheta_O (* cosTheta_i v))) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(/ 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 (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (/ cosTheta_i (* sinTheta_i v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i v))) (/ (* cosTheta_i sinTheta_O) (pow v 2)))))
(/ cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (/ cosTheta_i (* sinTheta_O v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O v))) (/ (* cosTheta_i sinTheta_i) (pow v 2)))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) (pow v 2))
(/ cosTheta_i v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ cosTheta_i v)
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* (pow v 3) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 60 (* cosTheta_O (* cosTheta_i v)))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* v (- (* -1200 (* cosTheta_O (* cosTheta_i v))) (* -1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* 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)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* 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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -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))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (* 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)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 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)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 1/2 (/ cosTheta_i v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/12 (/ cosTheta_i v))) v)) (* -1/2 cosTheta_i)) v))
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(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
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2
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(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
1/3
(+ 1/3 (* 2 (pow v 2)))
(+ 1/3 (* 2 (pow v 2)))
(+ 1/3 (* 2 (pow v 2)))
(* 2 (pow v 2))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 2 (pow v 2))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ 1/60 (pow v 4))
(/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 4))
(/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 4))
(/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 4))
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)))))
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)))))
(* 1/3 v)
(* v (+ 1/3 (* 2 (pow v 2))))
(* v (+ 1/3 (* 2 (pow v 2))))
(* v (+ 1/3 (* 2 (pow v 2))))
(* 2 (pow v 3))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 2 (pow v 3))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
1/60
(+ 1/60 (* 1/3 (pow v 2)))
(+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))
(+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))
(* 2 (pow v 4))
(* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* 2 (pow v 4))
(* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))
(* 2 (pow v 2))

Outputs
(/ 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_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.f32 v v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.f32 v v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.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))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 v cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 v cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 v cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.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))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal 1/12 binary32)) (.f32 v (.f32 v v)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/12 binary32)) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/12 binary32)))) v)) v)) (neg.f32 v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.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 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.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 cosTheta_i) v)
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(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
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(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
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(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
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(* 1/2 (/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
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(* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
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(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (*.f32 v v)) v))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i sinTheta_i)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i sinTheta_i)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i sinTheta_i)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (*.f32 v v)) v))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i sinTheta_i)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i sinTheta_i)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ cosTheta_i (* sinTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_O) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i sinTheta_i)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (neg.f32 sinTheta_i))
(* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (*.f32 v v)) v))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(+.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (*.f32 v v)) v))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 cosTheta_i v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 cosTheta_i v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (/.f32 cosTheta_i v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (*.f32 v v)) v))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (/.f32 cosTheta_i v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
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(* -1 (* sinTheta_O (+ (* -1/2 (/ cosTheta_i (* sinTheta_O (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_i sinTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
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(* -60 (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 3)))))
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(* (pow v 3) (+ (* -60 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 60 (* cosTheta_i v))))
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(* (pow v 3) (+ (* -60 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* v (+ (* 60 cosTheta_i) (* 1200 (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))
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(* (pow v 3) (+ (* -60 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* v (+ (* 60 cosTheta_i) (* v (+ (* -1200 (* cosTheta_i v)) (* 1200 (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))
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(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i #s(literal -1/12 binary32)) (.f32 v v))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i))))
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(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 60 (* cosTheta_O (* cosTheta_i v)))))
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(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))))))
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(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* v (+ (* -1200 (* cosTheta_O (* cosTheta_i v))) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.f32 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))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 (.f32 v sinTheta_i) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 (.f32 v sinTheta_i) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 (.f32 v sinTheta_i) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(neg.f32 (.f32 sinTheta_i (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v sinTheta_i) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) #s(literal 1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(neg.f32 (.f32 sinTheta_i (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v sinTheta_i) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) #s(literal 1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(neg.f32 (.f32 sinTheta_i (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v sinTheta_i) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) #s(literal 1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))
(+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 (.f32 v sinTheta_O) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 (.f32 v sinTheta_O) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 (.f32 v sinTheta_O) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
(neg.f32 (.f32 sinTheta_O (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v sinTheta_O) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) #s(literal 1/2 binary32)) (.f32 (.f32 v v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
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(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (+ (* 1/120 (/ 1 (pow v 4))) (* 1/6 (/ 1 (pow v 2)))))))))))
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(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(/.f32 (.f32 sinTheta_O (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(/.f32 (.f32 sinTheta_O (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (.f32 sinTheta_O (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))))
(/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(/.f32 (.f32 sinTheta_O (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) sinTheta_i)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_O))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) sinTheta_i)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_O))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))))) (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) sinTheta_i)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_O))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))
(/.f32 (.f32 sinTheta_O (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v sinTheta_i)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) sinTheta_i)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_O))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) sinTheta_i)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_O))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_i (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow v 2)))) (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (.f32 v (.f32 v v))) sinTheta_i)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_O))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32))))))))))
(* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (pow v 2))))))
(.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 (.f32 v (.f32 sinTheta_O sinTheta_i)) v)) #s(literal -60 binary32)))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 60 (* cosTheta_O (* cosTheta_i v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* 1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 60 binary32))) (.f32 v (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal 1200 binary32))))))))
(* (pow v 2) (+ (* -60 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 60 (* cosTheta_O cosTheta_i)) (* v (- (* -1200 (* cosTheta_O (* cosTheta_i v))) (* -1200 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 60 binary32))) (.f32 (.f32 v #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.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))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal 1/12 binary32)) (.f32 v (.f32 v v)))))) v)
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(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(+ (* -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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.f32 v v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v (.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 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.f32 v v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(.f32 sinTheta_O (-.f32 (/.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 v (.f32 v sinTheta_O)))) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i cosTheta_O)) (.f32 v (*.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)))))))
(/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.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))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 v cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 v cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O (.f32 v cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v (*.f32 v v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.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))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) v) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (+.f32 (.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) v)) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal 1/12 binary32)) (.f32 v (.f32 v v)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/12 binary32)) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/12 binary32)))) v)) v)) (neg.f32 v))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
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(* v (+ 1/3 (* 2 (pow v 2))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* v (+ 1/3 (* 2 (pow v 2))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* 2 (pow v 3))
(.f32 #s(literal 2 binary32) (.f32 v (*.f32 v v)))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* 2 (pow v 3))
(.f32 #s(literal 2 binary32) (.f32 v (*.f32 v v)))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
(* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (*.f32 v #s(literal 2 binary32)))))
1/60
#s(literal 1/60 binary32)
(+ 1/60 (* 1/3 (pow v 2)))
(+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v #s(literal 1/3 binary32))))
(+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))
(+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))
(+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2)))))
(+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))
(* 2 (pow v 4))
(.f32 #s(literal 2 binary32) (.f32 (.f32 v (.f32 v v)) v))
(* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 (.f32 (.f32 v (.f32 v v)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.f32 (.f32 (.f32 v (.f32 v v)) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.f32 (.f32 (.f32 v (.f32 v v)) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* 2 (pow v 4))
(.f32 #s(literal 2 binary32) (.f32 (.f32 v (.f32 v v)) v))
(* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 (.f32 (.f32 v (.f32 v v)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.f32 (.f32 (.f32 v (.f32 v v)) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* (pow v 4) (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.f32 (.f32 (.f32 v (.f32 v v)) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(* (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))))
(* (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))))
(* (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))))
(* (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))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (*.f32 v v)) v)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(.f32 v (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (*.f32 v v)) v)))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v)))))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))
(* 2 (pow v 2))
(.f32 v (.f32 v #s(literal 2 binary32)))

eval322.0ms (1.4%)

Memory: 1.3MiB live, 551.6MiB allocated
Compiler: Compiled 72 291 to 4 102 computations (94.3% saved)

prune471.0ms (2.1%)

Memory

7.8MiB live, 890.3MiB allocated

Pruning

106 alts after pruning (104 fresh and 2 done)

	Pruned	Kept	Total
New	2 229	53	2 282
Fresh	27	51	78
Picked	3	2	5
Done	1	0	1
Total	2 260	106	2 366

Accuracy

99.9%

Counts

2 366 → 106

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.4%	(/.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))
	98.1%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) v)
	98.3%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
	71.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v))) v)
	71.3%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.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))) (/.f32 v #s(literal 1/2 binary32)))
	71.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) v) (.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))) (/.f32 #s(literal -2 binary32) v)))
	71.4%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (.f32 (/.f32 v cosTheta_O) (/.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))) (/.f32 v #s(literal -2 binary32)))))
	98.6%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 v v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) (*.f32 v v)) v))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) v) (*.f32 v v)))
	77.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 v v))) v))
	65.2%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	71.3%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
	71.4%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
	71.4%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))
	71.4%	(/.f32 (/.f32 cosTheta_O (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v)))) v)
	71.3%	(/.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 cosTheta_O v)) (/.f32 #s(literal -2 binary32) v))
	71.3%	(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))
	98.7%	(/.f32 (.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	71.4%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (*.f32 v v)))))
	71.4%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.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))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
	77.8%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 #s(literal 1/2 binary32) v)))
	71.4%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
	98.6%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	98.8%	(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
	98.7%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (*.f32 v v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.8%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(/.f32 (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))))
	71.3%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
	59.4%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
	59.3%	(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
	71.3%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
	60.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
	68.9%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
	93.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	68.9%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v)))))
	60.0%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	96.9%	(.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 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))))
	71.3%	(.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (.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))) #s(literal -2 binary32))) v)
	71.3%	(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v)) (.f32 v (*.f32 v v)))
	71.4%	(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
	97.3%	(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (/.f32 cosTheta_O v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	71.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
	71.4%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (neg.f32 v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
	77.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
✓	98.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
	98.6%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (neg.f32 v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v))))) cosTheta_O)
	77.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)
	71.4%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))) cosTheta_O)
	65.2%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
	71.4%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))))) cosTheta_O)
	71.4%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.5%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
	71.4%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (neg.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))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
	98.0%	(.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
	59.3%	(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
	71.4%	(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
	98.8%	(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v))
	71.4%	(.f32 (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) v))
	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
	98.7%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v))))
	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (*.f32 v v)) v)))) v)))
	59.3%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
	71.4%	(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
	59.3%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
	71.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
	71.4%	(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 v (.f32 v v))))))
	71.4%	(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (.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))) (.f32 (/.f32 #s(literal -2 binary32) v) v))))
	71.4%	(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 cosTheta_O (/.f32 (.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) (.f32 v (.f32 v (*.f32 v v))))))
	71.4%	(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
	71.3%	(.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))) (.f32 v v)) (.f32 v v))
	71.3%	(.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))) v) (.f32 v (.f32 v v)))
	98.7%	(.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
	59.3%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
	98.8%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
	59.3%	(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
✓	59.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
	98.8%	(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	51.1%	(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i v) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O #s(literal 1200 binary32)))))))))
	55.9%	(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
	51.2%	(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 60 binary32))) (.f32 (.f32 v #s(literal -1200 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))))))))
	55.8%	(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
	53.6%	(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
	59.3%	(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
	71.3%	(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (*.f32 (/.f32 #s(literal -2 binary32) v) v))))
	71.4%	(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
	95.4%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	98.8%	(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 cosTheta_i (.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	77.8%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))))
	71.4%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
	65.2%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	98.6%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))))
	98.8%	(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	98.9%	(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.3%	(.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))

Compiler

Compiled 8 625 to 2 964 computations (65.6% saved)

regimes473.0ms (2.1%)

Memory

-13.2MiB live, 704.0MiB allocated

Counts

188 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
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(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (*.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (neg.f32 v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v))))) cosTheta_O)
(.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v))))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (*.f32 v v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.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))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (.f32 (.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal 1 binary32)) cosTheta_i)))) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O (.f32 v v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 (/.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (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 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 v #s(literal 2 binary32))))
(/.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 cosTheta_O (.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v)))
(.f32 cosTheta_O (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i #s(literal 2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O (*.f32 v v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (/.f32 cosTheta_O v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 (pow.f32 v #s(literal -1/2 binary32)) (.f32 cosTheta_i cosTheta_O))) (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 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
(.f32 (.f32 (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32))) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) 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 cosTheta_i (.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 cosTheta_i (.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (+.f32 (.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))))))))

Outputs

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

Calls

8 calls:

73.0ms	(*.f32 sinTheta_i sinTheta_O)
54.0ms	sinTheta_i
53.0ms	sinTheta_O
53.0ms	v
50.0ms	cosTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes352.0ms (1.6%)

Memory

22.6MiB live, 629.6MiB allocated

Counts

140 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))) cosTheta_O)
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(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 (.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v #s(literal -1/6 binary32)))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))) (.f32 v v)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i v) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O #s(literal 1200 binary32)))))))))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) v))) v)) (neg.f32 v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))))))) v)) v)) (neg.f32 v))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 v #s(literal 1/2 binary32)) v))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v))
(.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) v))
(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 v (.f32 sinTheta_O sinTheta_i))) (.f32 v v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) v)
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (/.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 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))

Outputs

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

Calls

7 calls:

63.0ms	cosTheta_i
62.0ms	sinTheta_O
42.0ms	(*.f32 sinTheta_i sinTheta_O)
41.0ms	sinTheta_i
39.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
98.9%	1	`v`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.9%	1	`cosTheta_i`
98.9%	1	`sinTheta_O`
98.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes270.0ms (1.2%)

Memory

-20.9MiB live, 374.9MiB allocated

Counts

113 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
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(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) (*.f32 v v)) v))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.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))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))) #s(literal 2 binary32)) v))
(.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 (.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v #s(literal -1/6 binary32)))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))) (.f32 v v)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i v) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O #s(literal 1200 binary32)))))))))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) v))) v)) (neg.f32 v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))))))) v)) v)) (neg.f32 v))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))

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

Calls

7 calls:

37.0ms	(*.f32 cosTheta_i cosTheta_O)
34.0ms	sinTheta_O
30.0ms	sinTheta_i
30.0ms	cosTheta_i
29.0ms	v

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes237.0ms (1.1%)

Memory

2.0MiB live, 432.4MiB allocated

Counts

110 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (.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))) (.f32 (/.f32 #s(literal -2 binary32) v) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
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(/.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))) (.f32 v v)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i v) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O #s(literal 1200 binary32)))))))))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) v))) v)) (neg.f32 v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))))))) v)) v)) (neg.f32 v))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))

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

Calls

7 calls:

32.0ms	v
32.0ms	sinTheta_i
29.0ms	(*.f32 sinTheta_i sinTheta_O)
28.0ms	sinTheta_O
28.0ms	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 sinTheta_i sinTheta_O)`
98.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes233.0ms (1.1%)

Memory

21.1MiB live, 449.1MiB allocated

Counts

109 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (.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))) (.f32 (/.f32 #s(literal -2 binary32) v) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
(.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (.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))) #s(literal -2 binary32))) v)
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(/.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 cosTheta_O v)) (/.f32 #s(literal -2 binary32) v))
(/.f32 (/.f32 cosTheta_O (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v)))) v)
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (.f32 (/.f32 v cosTheta_O) (/.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))) (/.f32 v #s(literal -2 binary32)))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) v) (.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))) (/.f32 #s(literal -2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v))) v)
(/.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))
(.f32 (/.f32 cosTheta_O (neg.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))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (neg.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))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (neg.f32 v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.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))) (/.f32 v #s(literal 1/2 binary32)))
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(/.f32 #s(literal 1 binary32) (/.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v)) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)))
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(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v)))) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 v v))) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) v) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) (*.f32 v v)) v))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.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))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))) #s(literal 2 binary32)) v))
(.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 (.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (/.f32 #s(literal -2 binary32) v)))) (neg.f32 v))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 v (.f32 v #s(literal -1/6 binary32)))) (.f32 v (.f32 v (.f32 v v)))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (-.f32 (.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O))) (.f32 v v)) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i v) #s(literal -1200 binary32))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O #s(literal 1200 binary32)))))))))
(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i v)) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i cosTheta_O)) (.f32 v v)))) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) v))) v)) (neg.f32 v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/6 binary32)))) (*.f32 v v))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v))))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))))))) v)) v)) (neg.f32 v))

Outputs

(*.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (*.f32 (*.f32 v (*.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)

Calls

7 calls:

33.0ms	(*.f32 sinTheta_i sinTheta_O)
32.0ms	sinTheta_i
32.0ms	cosTheta_i
29.0ms	sinTheta_O
28.0ms	v

Results

Accuracy	Segments	Branch
77.8%	1	`cosTheta_i`
77.8%	1	`cosTheta_O`
77.8%	1	`sinTheta_i`
77.8%	1	`sinTheta_O`
77.8%	1	`v`
77.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
77.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes183.0ms (0.8%)

Memory

35.3MiB live, 303.2MiB allocated

Counts

92 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (.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))) (.f32 (/.f32 #s(literal -2 binary32) v) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
(.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (.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))) #s(literal -2 binary32))) v)
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(/.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 cosTheta_O v)) (/.f32 #s(literal -2 binary32) v))
(/.f32 (/.f32 cosTheta_O (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v)))) v)
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (.f32 (/.f32 v cosTheta_O) (/.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))) (/.f32 v #s(literal -2 binary32)))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) v) (.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))) (/.f32 #s(literal -2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v))) v)
(/.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))))
(.f32 (/.f32 cosTheta_O (neg.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))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (neg.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))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (neg.f32 v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.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))) (/.f32 v #s(literal 1/2 binary32)))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (.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))) (*.f32 (/.f32 #s(literal -2 binary32) v) v))))
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(.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32))))))) v) (.f32 v (.f32 v v)))
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(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (*.f32 v v)) v)))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 v (.f32 v v))))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
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(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v)) (.f32 v (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v cosTheta_O) (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_O) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.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))) (/.f32 #s(literal -2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v)) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (*.f32 v v)))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) cosTheta_O) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1/120 binary32) v) v)) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v)))) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) (.f32 v (.f32 v v))) v))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) v) (*.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (/.f32 (.f32 v v) #s(literal 1/2 binary32)))))) v) (*.f32 v v)) v))
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.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))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))) #s(literal 2 binary32)) v))
(.f32 (neg.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v))))))

Outputs

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

Calls

7 calls:

32.0ms	sinTheta_i
25.0ms	cosTheta_O
24.0ms	cosTheta_i
24.0ms	v
23.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
71.4%	1	`sinTheta_i`
71.4%	1	`sinTheta_O`
71.4%	1	`cosTheta_O`
71.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
71.4%	1	`cosTheta_i`
71.4%	1	`v`
71.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes107.0ms (0.5%)

Memory

-24.4MiB live, 180.2MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (.f32 (/.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)) #s(literal 2 binary32)) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (neg.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (.f32 v v)))))) cosTheta_O)
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))) (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))))
(.f32 (.f32 cosTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 (/.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v)) (.f32 v v))))
(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (.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))) (.f32 (/.f32 #s(literal -2 binary32) v) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 #s(literal -2 binary32) v)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O (.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))) (/.f32 #s(literal -2 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (.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))) (/.f32 #s(literal -2 binary32) v)))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (/.f32 (/.f32 v #s(literal -2 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))))
(.f32 (/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v cosTheta_O)) (.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))) #s(literal -2 binary32))) v)
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(/.f32 (.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v)))) (/.f32 cosTheta_O v)) (/.f32 #s(literal -2 binary32) v))

Outputs

(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) v) v)) (*.f32 v (*.f32 v (*.f32 v v)))))

Calls

7 calls:

16.0ms	cosTheta_O
15.0ms	v
15.0ms	cosTheta_i
14.0ms	sinTheta_O
13.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
71.4%	1	`cosTheta_O`
71.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.4%	1	`sinTheta_O`
71.4%	1	`cosTheta_i`
71.4%	1	`sinTheta_i`
71.4%	1	`v`
71.4%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes58.0ms (0.3%)

Memory

-12.1MiB live, 103.3MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.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))) (/.f32 #s(literal -2 binary32) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v))))

Outputs

(*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v (*.f32 v v)) v)))))

Calls

7 calls:

9.0ms	cosTheta_i
9.0ms	v
8.0ms	cosTheta_O
8.0ms	sinTheta_i
7.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.4%	1	`cosTheta_O`
71.4%	1	`sinTheta_O`
71.4%	1	`cosTheta_i`
71.4%	1	`sinTheta_i`
71.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.4%	1	`v`
71.4%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes53.0ms (0.2%)

Memory

4.8MiB live, 83.5MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))

Outputs
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))

Calls

7 calls:

9.0ms	sinTheta_O
7.0ms	sinTheta_i
7.0ms	v
7.0ms	cosTheta_i
7.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
71.3%	1	`cosTheta_O`
71.3%	1	`cosTheta_i`
71.3%	1	`sinTheta_i`
71.3%	1	`sinTheta_O`
71.3%	1	`v`
71.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.3%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes52.0ms (0.2%)

Memory

20.3MiB live, 93.9MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))

Outputs

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

Calls

7 calls:

10.0ms	cosTheta_i
8.0ms	sinTheta_i
7.0ms	v
7.0ms	sinTheta_O
6.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
71.3%	1	`cosTheta_O`
71.3%	1	`cosTheta_i`
71.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
71.3%	1	`sinTheta_i`
71.3%	1	`sinTheta_O`
71.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
71.3%	1	`v`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes56.0ms (0.3%)

Memory

8.1MiB live, 85.1MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(.f32 (.f32 v v) (+.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -60 binary32))) (.f32 cosTheta_O (.f32 (*.f32 v cosTheta_i) #s(literal 60 binary32)))))
(.f32 (.f32 v v) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -60 binary32))) (.f32 v (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 60 binary32)))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) cosTheta_O)
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))

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

Calls

7 calls:

12.0ms	sinTheta_O
12.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	v
6.0ms	cosTheta_i
6.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
65.2%	1	`cosTheta_O`
65.2%	1	`sinTheta_O`
65.2%	1	`v`
65.2%	1	`cosTheta_i`
65.2%	1	`sinTheta_i`
65.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes42.0ms (0.2%)

Memory

2.8MiB live, 75.2MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O)) (.f32 #s(literal -60 binary32) (.f32 v v)))
(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 2 binary32) v)))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal -1/2 binary32)) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) #s(literal 1/2 binary32)) v)) (neg.f32 v))

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

Calls

6 calls:

13.0ms	v
9.0ms	cosTheta_O
5.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
60.0%	1	`cosTheta_i`
60.0%	1	`v`
60.0%	1	`sinTheta_O`
60.0%	1	`sinTheta_i`
60.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.0%	1	`cosTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes42.0ms (0.2%)

Memory

-13.9MiB live, 38.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	sinTheta_O
3.0ms	v
3.0ms	cosTheta_O
3.0ms	sinTheta_i
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
59.3%	1	`cosTheta_i`
59.3%	1	`sinTheta_i`
59.3%	1	`sinTheta_O`
59.3%	1	`cosTheta_O`
59.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.3%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes23.0ms (0.1%)

Memory

-8.0MiB live, 29.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	sinTheta_i
2.0ms	cosTheta_O
2.0ms	v
2.0ms	sinTheta_O
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
59.3%	1	`sinTheta_i`
59.3%	1	`sinTheta_O`
59.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.3%	1	`cosTheta_i`
59.3%	1	`v`
59.3%	1	`cosTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes11.0ms (0%)

Memory

24.2MiB live, 24.2MiB allocated

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

2.0ms	cosTheta_i
2.0ms	v
2.0ms	sinTheta_O
2.0ms	sinTheta_i
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
59.3%	1	`sinTheta_i`
59.3%	1	`sinTheta_O`
59.3%	1	`cosTheta_O`
59.3%	1	`cosTheta_i`
59.3%	1	`v`
59.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

simplify26.0ms (0.1%)

Memory

-3.9MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`*-commutative_binary32`
58×	`+-commutative_binary32`
38×	`sub-neg_binary32`
32×	`neg-sub0_binary32`
32×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	289
1	173	289
2	197	289
3	227	289
4	260	289
5	277	289
6	286	289
7	288	289

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)
(/.f32 (/.f32 cosTheta_O (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v)))) v)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)

Outputs
(/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_O (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 (.f32 v (.f32 v v)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) cosTheta_O)
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (.f32 sinTheta_i (/.f32 sinTheta_O v)))) (.f32 v (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (.f32 v v))) (.f32 v (.f32 v (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(/.f32 (/.f32 cosTheta_O (.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))) (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v)))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 (/.f32 #s(literal -2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v)) (-.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)
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 (.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))) v) v)) (.f32 v (.f32 v (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) #s(literal 2 binary32)))))) (.f32 v (.f32 v (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 (.f32 v (.f32 v v)) v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 #s(literal 1/120 binary32) (.f32 v (.f32 v (.f32 v v)))))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 v (.f32 v v)))) (+.f32 #s(literal 1/60 binary32) (.f32 v (.f32 v (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O v)))
(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
(.f32 cosTheta_i (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))

soundness4.3s (19.4%)

Memory

-167.4MiB live, 6 026.5MiB allocated

Rules

9 914×	`accelerator-lowering-fma.f32`
9 914×	`accelerator-lowering-fma.f64`
9 312×	`accelerator-lowering-fma.f32`
9 312×	`accelerator-lowering-fma.f64`
9 026×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	616	14549
1	2052	14057
2	7748	14057
0	8089	13924
0	49	286
1	307	283
2	2584	281
0	8144	276
0	24	106
1	108	106
2	735	106
3	6202	106
0	8056	106
0	57	351
1	350	347
2	3079	347
0	8110	335
0	542	7262
1	1820	6941
2	7301	6898
0	8062	6813
0	837	15590
1	2903	14895
0	8389	14734
0	567	16218
1	1916	15787
2	7031	15779
0	8390	15402
0	46	241
1	255	241
2	2242	240
0	8405	240

Stop Event

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

Compiler

Compiled 1 022 to 621 computations (39.2% saved)

preprocess849.0ms (3.8%)

Memory: 49.5MiB live, 1 391.4MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 4 702 to 2 764 computations (41.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze853.0ms (3.8%)

sample2.6s (11.7%)

preprocess269.0ms (1.2%)

explain384.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify337.0ms (1.5%)

localize123.0ms (0.6%)

series102.0ms (0.5%)

rewrite359.0ms (1.6%)

simplify541.0ms (2.4%)

eval205.0ms (0.9%)

prune331.0ms (1.5%)

simplify245.0ms (1.1%)

localize154.0ms (0.7%)

series241.0ms (1.1%)

rewrite438.0ms (2%)

simplify802.0ms (3.6%)

eval595.0ms (2.7%)

prune1.1s (5.2%)

simplify294.0ms (1.3%)

localize348.0ms (1.6%)

series116.0ms (0.5%)

rewrite774.0ms (3.5%)

simplify586.0ms (2.6%)

eval301.0ms (1.4%)

prune369.0ms (1.7%)

simplify244.0ms (1.1%)

localize198.0ms (0.9%)

series108.0ms (0.5%)

rewrite356.0ms (1.6%)

simplify643.0ms (2.9%)

eval322.0ms (1.4%)

prune471.0ms (2.1%)

regimes473.0ms (2.1%)

regimes352.0ms (1.6%)

regimes270.0ms (1.2%)

regimes237.0ms (1.1%)

regimes233.0ms (1.1%)

regimes183.0ms (0.8%)

regimes107.0ms (0.5%)

regimes58.0ms (0.3%)

regimes53.0ms (0.2%)

regimes52.0ms (0.2%)

regimes56.0ms (0.3%)

regimes42.0ms (0.2%)

regimes42.0ms (0.2%)

regimes23.0ms (0.1%)

regimes11.0ms (0%)

simplify26.0ms (0.1%)

soundness4.3s (19.4%)

preprocess849.0ms (3.8%)

end0.0ms (0%)

Profiling