Metrics for HairBSDF, Mp, upper

analyze576.0ms (2.6%)

Memory

20.0MiB live, 1 078.5MiB 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)

sample2.8s (12.8%)

Memory

-155.0MiB live, 3 664.1MiB allocated

Samples

2.3s

8 256×

valid

Precisions

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

ival-<=: 557.0ms (29.8% of total)

ival-mult: 466.0ms (24.9% of total)

ival-div: 288.0ms (15.4% of total)

const: 264.0ms (14.1% of total)

ival-exp: 78.0ms (4.2% of total)

ival-sinh: 76.0ms (4.1% of total)

ival-and: 53.0ms (2.8% of total)

ival-neg: 48.0ms (2.6% of total)

ival-<: 19.0ms (1% of total)

exact: 16.0ms (0.9% of total)

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

Bogosity

preprocess260.0ms (1.2%)

Memory

27.6MiB live, 430.8MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain343.0ms (1.5%)

Memory

-15.2MiB live, 297.8MiB 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))`
1	(4.007558132511717e-18 1.9898536152140878e-8 3.0883652989989073e-25 3.4572565020763233e-22 0.1284812092781067)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
2	(1.8063709867787962e-26 1.5972595903283274e-20 1.6959067483668377e-10 0.02141270600259304 0.19913895428180695)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	2	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	92
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	79

Confusion

	Predicted +	Predicted -
+	0	0
-	3	253

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

76.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 14.0ms (33.3% of total)

ival-mult: 14.0ms (33.3% of total)

ival-sinh: 7.0ms (16.6% of total)

ival-exp: 4.0ms (9.5% of total)

ival-neg: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify276.0ms (1.2%)

Memory

-7.8MiB live, 348.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize52.0ms (0.2%)

Memory

19.5MiB live, 99.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

34.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (39.5% of total)

ival-mult: 7.0ms (30.7% of total)

ival-exp: 2.0ms (8.8% of total)

ival-neg: 2.0ms (8.8% of total)

ival-sinh: 2.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.2%)

Memory

-10.0MiB live, 101.3MiB allocated

Counts

8 → 288

Calls

Call 1

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

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

72 calls:

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

rewrite305.0ms (1.4%)

Memory

17.8MiB live, 383.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	77	68
2	516	68
3	6807	68
0	8047	68

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 806

Calls

Call 1

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

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

simplify451.0ms (2%)

Memory

11.8MiB live, 807.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	334	4121
1	1040	4000
2	3827	3767
3	7003	3766
0	8049	3724

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

eval104.0ms (0.5%)

Memory: -9.5MiB live, 309.9MiB allocated
Compiler: Compiled 27 265 to 2 904 computations (89.3% saved)

prune189.0ms (0.8%)

Memory

1.2MiB live, 501.2MiB allocated

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	1 060	34	1 094
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 061	34	1 095

Accuracy

99.7%

Counts

1 095 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.1%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
	98.6%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	96.1%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O)))
	93.3%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	98.6%	(/.f32 (.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	58.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	94.8%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.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)))) #s(literal 1 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)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)) v))
	70.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
▶	98.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	58.8%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.0%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	94.5%	(/.f32 (neg.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	94.4%	(.f32 (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1/2 binary32)) (pow.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1/2 binary32)))
	96.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
▶	98.5%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
▶	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	98.6%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))

Compiler

Compiled 2 106 to 1 358 computations (35.5% saved)

simplify265.0ms (1.2%)

Memory

2.4MiB live, 450.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

6 778×	`-lowering-.f32`
6 778×	`-lowering-.f64`
3 004×	`accelerator-lowering-fma.f32`
3 004×	`accelerator-lowering-fma.f64`
2 386×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	389
1	118	389
2	421	389
3	2006	384
4	3650	384
5	5870	384
0	8315	384

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize206.0ms (0.9%)

Memory

11.0MiB live, 165.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	99.1%	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.0%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O)))
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.2%	(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.1%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
✓	accuracy	99.3%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) 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 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.4%	(/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.8%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

95.0ms

256×

valid

Compiler

Compiled 390 to 42 computations (89.2% saved)

Precisions

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

ival-div: 42.0ms (58.2% of total)

ival-mult: 22.0ms (30.5% of total)

ival-exp: 4.0ms (5.5% of total)

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

ival-neg: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series198.0ms (0.9%)

Memory

-5.5MiB live, 199.4MiB allocated

Counts

22 → 756

Calls

Call 1

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

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

Calls

189 calls:

Time	Variable		Point	Expression
29.0ms	v	@	0	(* (/ 1/2 (* v (sinh (/ 1 v)))) (* cosTheta_i cosTheta_O))
27.0ms	cosTheta_O	@	-inf	(* (/ 1/2 (* v (sinh (/ 1 v)))) (* cosTheta_i cosTheta_O))
17.0ms	v	@	-inf	(* (/ 1/2 (* v (sinh (/ 1 v)))) (* cosTheta_i cosTheta_O))
13.0ms	v	@	inf	(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (/ (* sinTheta_i sinTheta_O) v)))) v))
11.0ms	cosTheta_i	@	-inf	(/ (* v v) (* cosTheta_i cosTheta_O))

rewrite498.0ms (2.2%)

Memory

30.1MiB live, 452.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 708×	`-lowering-.f32`
6 708×	`-lowering-.f64`
4 638×	`/-lowering-/.f32`
4 638×	`/-lowering-/.f64`
1 162×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	238
1	187	238
2	1240	232
0	8571	232

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 2 178

Calls

Call 1

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

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

simplify670.0ms (3%)

Memory

-17.3MiB live, 992.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 420×	`accelerator-lowering-fma.f32`
11 420×	`accelerator-lowering-fma.f64`
8 544×	`-lowering-.f32`
8 544×	`-lowering-.f64`
3 976×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	777	14143
1	2540	13480
0	8601	13278

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.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 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) #s(literal -1/2 binary32)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) #s(literal -1/2 binary32)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (neg.f32 sinTheta_O) sinTheta_i)))) (.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.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 (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32)) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 (neg.f32 sinTheta_O) sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)) (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O))) (*.f32 v v))))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) cosTheta_O) (.f32 v v))) (neg.f32 (/.f32 (*.f32 cosTheta_O sinTheta_i) v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 cosTheta_O (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) (fma.f32 (/.f32 (.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 cosTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (fma.f32 cosTheta_O (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (.f32 v v)) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v (*.f32 v v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O sinTheta_O) v) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32))) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/6 binary32))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal 1/2 binary32)))) (neg.f32 v))) v))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_O (exp.f32 (/.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v (*.f32 v v)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32)) (.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/6 binary32)))) (neg.f32 v))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
(* 1/2 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) #s(literal 2 binary32)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
(.f32 v (+.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) (.f32 v (*.f32 v v)))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(neg.f32 (.f32 v (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 1 binary32)) #s(literal -2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) (neg.f32 v)) #s(literal -2 binary32))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 sinTheta_i (fma.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v sinTheta_O) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_i (fma.f32 v (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_O) (.f32 sinTheta_i (fma.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) 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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (.f32 sinTheta_O (.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 v (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (.f32 sinTheta_O (fma.f32 v (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_i) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* 1/2 (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (fma.f32 v (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) sinTheta_i) (.f32 sinTheta_O (fma.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) 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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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2
#s(literal 2 binary32)
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) #s(literal 2 binary32))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))))))
(+.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) (.f32 v (.f32 v v))))
2
#s(literal 2 binary32)
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) #s(literal 2 binary32))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v)))
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v)))
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(* 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))))
(+ (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (fma.f32 sinTheta_O sinTheta_i v))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) v)) (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_i (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (fma.f32 sinTheta_O sinTheta_i v)))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) v))
(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) v))
(* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_i #s(literal -1/840 binary32) (.f32 cosTheta_i #s(literal 7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 cosTheta_i #s(literal 1/840 binary32) (.f32 cosTheta_i #s(literal -7/2160 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (.f32 v v)) (.f32 cosTheta_i #s(literal -1/2 binary32)))) (neg.f32 v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))
(/ (pow v 2) (* cosTheta_O cosTheta_i))
(/.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))

eval551.0ms (2.5%)

Memory: -96.6MiB live, 980.3MiB allocated
Compiler: Compiled 82 038 to 4 612 computations (94.4% saved)

prune462.0ms (2.1%)

Memory

19.3MiB live, 1 067.6MiB allocated

Pruning

56 alts after pruning (55 fresh and 1 done)

	Pruned	Kept	Total
New	3 410	49	3 459
Fresh	23	6	29
Picked	4	1	5
Done	0	0	0
Total	3 437	56	3 493

Accuracy

99.9%

Counts

3 493 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	96.1%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	96.0%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O)))
	96.0%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	98.7%	(/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (.f32 #s(literal 2 binary32) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	98.4%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) cosTheta_i) v)
	59.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)) v)
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))
	58.8%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	58.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	94.8%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_O cosTheta_i)))
	59.3%	(/.f32 (.f32 v #s(literal 1/2 binary32)) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	58.8%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (/.f32 sinTheta_i v) #s(literal 2 binary32)) v))
▶	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -2 binary32)))) v)) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	57.0%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	96.1%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))) (/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O)))
	59.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))))
	98.3%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	98.6%	(.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) cosTheta_i)) cosTheta_O)
	93.2%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (neg.f32 v))) v)
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 (.f32 v (*.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	98.3%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
▶	98.6%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (.f32 cosTheta_O cosTheta_i))
	98.7%	(.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O))
	58.8%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	98.6%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
	98.8%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) cosTheta_i)
	98.8%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
	98.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O cosTheta_i))
	98.8%	(.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.2%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
▶	98.9%	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.9%	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	58.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O)
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))
▶	58.8%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	98.6%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.5%	(.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) v)))
	95.1%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	98.3%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	98.6%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Compiler

Compiled 2 886 to 1 943 computations (32.7% saved)

simplify202.0ms (0.9%)

Memory

-21.5MiB live, 334.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	cost-diff	192	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32)))
✓	cost-diff	192	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
✓	cost-diff	64	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (.f32 cosTheta_O cosTheta_i))
✓	cost-diff	0	(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
✓	cost-diff	192	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (/.f32 cosTheta_O v)) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	256	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (/.f32 cosTheta_O v))

Rules

6 576×	`-lowering-.f32`
6 576×	`-lowering-.f64`
2 950×	`accelerator-lowering-fma.f32`
2 950×	`accelerator-lowering-fma.f64`
2 296×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	454
1	147	454
2	482	454
3	1694	448
4	5619	443
5	6782	443
0	8484	430

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize215.0ms (1%)

Memory

11.9MiB live, 289.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	accuracy	99.2%	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
✓	accuracy	98.8%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
✓	accuracy	99.2%	(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
✓	accuracy	98.7%	(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.7%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
✓	accuracy	99.1%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	accuracy	99.2%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	98.9%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (/.f32 cosTheta_O v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

139.0ms

256×

valid

Compiler

Compiled 442 to 54 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 44.0ms (50.7% of total)

ival-div: 28.0ms (32.3% of total)

ival-exp: 4.0ms (4.6% of total)

const: 4.0ms (4.6% of total)

ival-add: 3.0ms (3.5% of total)

ival-sinh: 2.0ms (2.3% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (0.5%)

Memory

9.9MiB live, 164.7MiB allocated

Counts

22 → 840

Calls

Call 1

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

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

Calls

210 calls:

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

rewrite349.0ms (1.6%)

Memory

8.9MiB live, 561.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 372×	`/-lowering-/.f32`
6 372×	`/-lowering-/.f64`
3 350×	`-lowering-.f32`
3 350×	`-lowering-.f64`
2 520×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	289
1	276	281
2	2420	278
0	8333	268

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 910

Calls

Call 1

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

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

simplify472.0ms (2.1%)

Memory

16.9MiB live, 936.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 970×	`-lowering-.f32`
7 970×	`-lowering-.f64`
6 720×	`accelerator-lowering-fma.f32`
6 720×	`accelerator-lowering-fma.f64`
3 746×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1307	17661
1	4469	17255
0	8415	16825

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

Inputs
(/ cosTheta_O (pow v 2))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ cosTheta_O (pow v 2))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 3))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 4))))) (/ cosTheta_O (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 4))))))) (/ cosTheta_O (pow v 2)))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ cosTheta_O (pow v 2))
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) (pow v 2))
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) (pow v 2))
(/ cosTheta_O (pow v 2))
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(/ (+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
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1
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1
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(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))
(/ (+ (* 2 (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i))))) (pow v 2))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (exp (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (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 (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 (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 (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))) 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)
(/ (- (+ (* -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)
(/ (* 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))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ cosTheta_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))))))))
(/ 1/6 (pow v 2))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_O 2) (pow v 2))))))
(/ 1/6 (pow v 2))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/6 (/ 1 (pow v 2))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))) (* 1/6 (/ 1 (* (pow sinTheta_i 2) (pow v 2))))))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))
(* (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)))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)

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

eval314.0ms (1.4%)

Memory: -3.8MiB live, 411.4MiB allocated
Compiler: Compiled 53 567 to 4 396 computations (91.8% saved)

prune1.3s (6.1%)

Memory

-2.6MiB live, 527.6MiB allocated

Pruning

82 alts after pruning (80 fresh and 2 done)

	Pruned	Kept	Total
New	1 906	46	1 952
Fresh	16	34	50
Picked	4	1	5
Done	0	1	1
Total	1 926	82	2 008

Accuracy

99.9%

Counts

2 008 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O (neg.f32 sinTheta_i))) (.f32 v v))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	64.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
	64.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
	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))
	96.0%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	98.7%	(/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
	98.4%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) cosTheta_i) v)
	59.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)) v)
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))
	58.8%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	58.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
▶	94.8%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_O cosTheta_i)))
	59.3%	(/.f32 (.f32 v #s(literal 1/2 binary32)) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (*.f32 sinTheta_O sinTheta_i))))) v))
▶	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v))
	41.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_O sinTheta_O)))))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) (*.f32 v v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
▶	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 sinTheta_i sinTheta_i)))))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_i))) sinTheta_i))) v))
	41.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O sinTheta_i) (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_O) v)))))
	37.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i))))
	41.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O))))
	98.5%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	91.5%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v (.f32 #s(literal 2 binary32) (.f32 v (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	96.1%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))) (/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O)))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1 binary32))))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)))
	59.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) cosTheta_i)))
	98.3%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	98.6%	(.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) cosTheta_i)) cosTheta_O)
	57.1%	(.f32 (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v)) (.f32 cosTheta_O cosTheta_i))
	93.2%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (neg.f32 v))) v)
	64.2%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	98.3%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	64.2%	(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
	98.7%	(.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O))
	58.8%	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
	64.2%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))
	98.6%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
	98.8%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))) cosTheta_i)
	64.2%	(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
	98.5%	(.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
	98.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O cosTheta_i))
	64.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_O cosTheta_i))
	98.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O cosTheta_i))
	98.8%	(.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.8%	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	64.2%	(.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	98.7%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))
▶	58.8%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
✓	58.8%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	98.6%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.5%	(.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.1%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	98.3%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
▶	98.9%	(.f32 (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v))) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal -1 binary32))) (.f32 cosTheta_O cosTheta_i))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	98.6%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	64.2%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	64.2%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))))

Compiler

Compiled 4 562 to 3 000 computations (34.2% saved)

simplify1.5s (6.9%)

Memory

1.7MiB live, 230.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_O cosTheta_i)))
✓	cost-diff	64	(+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 sinTheta_i sinTheta_i)))
✓	cost-diff	96	(fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 sinTheta_i sinTheta_i)))))
✓	cost-diff	256	(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (.f32 sinTheta_i sinTheta_i)))))) v)
✓	cost-diff	832	(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 sinTheta_i sinTheta_i))))))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32)) v))
✓	cost-diff	32	(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) #s(literal 2 binary32)) v)
✓	cost-diff	160	(.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
✓	cost-diff	160	(fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
✓	cost-diff	192	(.f32 (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v))) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	352	(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v))

Rules

9 058×	`accelerator-lowering-fma.f32`
9 058×	`accelerator-lowering-fma.f64`
5 922×	`-lowering-.f32`
5 922×	`-lowering-.f64`
3 074×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	629
1	193	611
2	701	611
3	2694	589
4	6695	571
5	7152	565
0	8125	546

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize241.0ms (1.1%)

Memory

18.0MiB live, 294.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	accuracy	98.8%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	95.7%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_O cosTheta_i)))
✓	accuracy	99.2%	(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (.f32 sinTheta_i sinTheta_i)))))) v)
✓	accuracy	99.1%	(/.f32 sinTheta_O (*.f32 v sinTheta_i))
✓	accuracy	99.0%	(/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v))
✓	accuracy	52.2%	(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 #s(literal 2 binary32) (*.f32 sinTheta_i sinTheta_i))))))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32)) v))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (*.f32 v v))
✓	accuracy	99.2%	(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)))) #s(literal 2 binary32)) v)
✓	accuracy	98.7%	(.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 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	99.1%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	accuracy	99.2%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	98.5%	(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

141.0ms

256×

valid

Compiler

Compiled 612 to 62 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-add: 38.0ms (33.2% of total)

ival-mult: 38.0ms (33.2% of total)

ival-div: 26.0ms (22.7% of total)

const: 7.0ms (6.1% of total)

ival-exp: 2.0ms (1.7% of total)

ival-sinh: 2.0ms (1.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series203.0ms (0.9%)

Memory

-13.4MiB live, 102.9MiB allocated

Counts

25 → 828

Calls

Call 1

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

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

Calls

207 calls:

Time	Variable		Expression
53.0ms	sinTheta_O	@	(+ (* 2 (/ sinTheta_O (* v sinTheta_i))) (+ (/ 1/3 (* (* v v) (* sinTheta_i sinTheta_i))) (+ (/ (* sinTheta_O sinTheta_O) (* v v)) (/ 2 (* sinTheta_i sinTheta_i)))))
39.0ms	v	@	(/ (* cosTheta_i cosTheta_O) (* (+ (* 2 (+ (* sinTheta_O (/ sinTheta_i v)) (* (+ (* sinTheta_O (* sinTheta_O (* 1/2 (* sinTheta_i sinTheta_i)))) 1/6) (/ 1 (* v v))))) 2) v))
4.0ms	sinTheta_i	@	(* (/ 1 v) (/ (exp (/ (* sinTheta_i (neg sinTheta_O)) v)) v))
1.0ms	sinTheta_O	@	(* (* sinTheta_i sinTheta_i) (+ (* 2 (/ sinTheta_O (* v sinTheta_i))) (+ (/ 1/3 (* (* v v) (* sinTheta_i sinTheta_i))) (+ (/ (* sinTheta_O sinTheta_O) (* v v)) (/ 2 (* sinTheta_i sinTheta_i))))))
1.0ms	v	@	(* (* sinTheta_i sinTheta_i) (+ (* 2 (/ sinTheta_O (* v sinTheta_i))) (+ (/ 1/3 (* (* v v) (* sinTheta_i sinTheta_i))) (+ (/ (* sinTheta_O sinTheta_O) (* v v)) (/ 2 (* sinTheta_i sinTheta_i))))))

rewrite626.0ms (2.8%)

Memory

46.9MiB live, 854.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 592×	`-lowering-.f32`
5 592×	`-lowering-.f64`
4 692×	`accelerator-lowering-fma.f32`
4 692×	`accelerator-lowering-fma.f64`
4 640×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	365
1	365	333
2	3694	333
0	10193	313

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 654

Calls

Call 1

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

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

simplify536.0ms (2.4%)

Memory

-9.4MiB live, 782.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 716×	`accelerator-lowering-fma.f32`
7 716×	`accelerator-lowering-fma.f64`
6 786×	`-lowering-.f32`
6 786×	`-lowering-.f64`
5 252×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1060	15787
1	3502	15475
0	8036	14963

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

Inputs
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (pow v 2))
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v))) (pow v 2))
(/ 1 (pow v 2))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 4))))) (/ 1 (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 5))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 4))))))) (/ 1 (pow v 2)))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ 1 (pow v 2))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 3))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 4))))) (/ 1 (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 4))))))) (/ 1 (pow v 2)))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 2 (+ (* 1/6 (/ 1 (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 2 (+ (* 1/3 (/ 1 (pow v 2))) (* sinTheta_i (+ (* 2 (/ sinTheta_O v)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ 2 (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_O v)) (* -1 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))
(+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))))
(+ (* sinTheta_O (+ (* 2 (/ sinTheta_i v)) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (+ (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) (pow v 2)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i (* sinTheta_O v))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ sinTheta_i v)) (* -1 (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) (pow v 2))
(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))) (pow v 2))
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))) (pow v 2))
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))) (pow v 2))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) (pow v 2))))
(+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) (pow v 2))))
2
(+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) v))) v)))
(+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) v))) v)))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* sinTheta_i (+ (* 2 sinTheta_O) (/ (* (pow sinTheta_O 2) sinTheta_i) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -2 sinTheta_O) (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i))) sinTheta_i)) (/ (pow sinTheta_O 2) v)))
(* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2))))))
(+ (* 2 (* sinTheta_O sinTheta_i)) (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))))
(+ (* sinTheta_O (+ (* 2 sinTheta_i) (/ (* sinTheta_O (pow sinTheta_i 2)) v))) (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (+ (/ (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))) (pow sinTheta_O 2)) (/ (pow sinTheta_i 2) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)
(* (pow sinTheta_O 2) (+ (* 2 (/ sinTheta_i sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -2 sinTheta_i) (* -1 (/ (* (pow sinTheta_i 2) (* v (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))))) sinTheta_O))) sinTheta_O)) (/ (pow sinTheta_i 2) v)))
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(/ (+ (* 2 (* sinTheta_O (* sinTheta_i v))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))) v)
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))) v)
(/ (+ (* v (+ (* 2 v) (* 2 (* sinTheta_O sinTheta_i)))) (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))) v)
(* 2 v)
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) (pow v 2)))))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) (pow v 2)))))
(* 2 v)
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) v)) v)) 2)))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2))) v)) v)) 2)))
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(/ (pow sinTheta_O 2) (pow v 2))
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(* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (pow v 2))))) (+ (* 2 (/ 1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (/ 1 (pow v 2)) (/ 2 (* sinTheta_O (* sinTheta_i v)))))))
(* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (pow v 2))))) (+ (* 2 (/ 1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (/ 1 (pow v 2)) (/ 2 (* sinTheta_O (* sinTheta_i v)))))))
(/ (pow sinTheta_O 2) (pow v 2))
(* (pow sinTheta_O 2) (+ (* 2 (/ 1 (* sinTheta_O (* sinTheta_i v)))) (/ 1 (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))) sinTheta_O)) (* 2 (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* (pow sinTheta_i 2) (pow v 2)))) (* 2 (/ 1 (pow sinTheta_i 2)))) sinTheta_O)) (* 2 (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 (pow v 2))))
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(/ (+ 2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (pow sinTheta_i 2))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1/2 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1/2 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 2))))))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ cosTheta_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 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ (pow sinTheta_O 2) (pow v 2))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(/ sinTheta_O (* sinTheta_i v))
(* 1/2 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
v
(* 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
(* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))
(* -1 (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))
(* -1 (* v (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))

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

eval169.0ms (0.8%)

Memory: -9.4MiB live, 370.7MiB allocated
Compiler: Compiled 56 876 to 4 554 computations (92% saved)

prune311.0ms (1.4%)

Memory

-0.6MiB live, 601.0MiB allocated

Pruning

93 alts after pruning (89 fresh and 4 done)

	Pruned	Kept	Total
New	1 652	24	1 676
Fresh	10	65	75
Picked	3	2	5
Done	0	2	2
Total	1 665	93	1 758

Accuracy

99.9%

Counts

1 758 → 93

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (/.f32 (*.f32 v v) cosTheta_i))
	64.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
	64.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
	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))
	96.0%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	64.2%	(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
	98.4%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) cosTheta_i) v)
	59.5%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)) v)
	98.6%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O) (/.f32 (.f32 v v) cosTheta_i))
	58.8%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	58.8%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	59.3%	(/.f32 (.f32 v #s(literal 1/2 binary32)) (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)))
	64.2%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O sinTheta_i v) (.f32 v (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O sinTheta_i v)) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v (.f32 #s(literal 2 binary32) (+.f32 v (*.f32 sinTheta_O sinTheta_i))))) v))
✓	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (/.f32 (fma.f32 (.f32 sinTheta_O (.f32 sinTheta_O #s(literal 1/2 binary32))) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v))
	41.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (.f32 (.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 v v) (*.f32 sinTheta_O sinTheta_O)))))) #s(literal 2 binary32)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 v (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O sinTheta_i v)) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))) (.f32 v v)) v))
	37.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 sinTheta_i sinTheta_i)) (/.f32 (fma.f32 sinTheta_O sinTheta_O (/.f32 #s(literal 1/3 binary32) (.f32 sinTheta_i sinTheta_i))) v) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -2 binary32))) v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_i #s(literal -2 binary32)) (/.f32 (fma.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) #s(literal -2 binary32) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
	64.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (fma.f32 (/.f32 #s(literal 2 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)))))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) sinTheta_i (.f32 v (/.f32 #s(literal 2 binary32) sinTheta_i))) (*.f32 v sinTheta_i))))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (/.f32 (fma.f32 v (.f32 v #s(literal 2 binary32)) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 sinTheta_i (*.f32 v sinTheta_i))))))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_i))) sinTheta_i))) v))
	37.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal 2 binary32) (.f32 sinTheta_i sinTheta_i)))) v))
	36.9%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal 2 binary32) (.f32 sinTheta_i sinTheta_i)))))
	41.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (/.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (neg.f32 sinTheta_O))) sinTheta_O))) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) v))
	37.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_i)) (.f32 sinTheta_O #s(literal -2 binary32))) sinTheta_i))))
	41.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O))))
	23.9%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 sinTheta_i #s(literal -2 binary32) (/.f32 (.f32 (.f32 (.f32 sinTheta_i sinTheta_i) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal 2 binary32) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 sinTheta_O))) sinTheta_O))))
	59.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 sinTheta_i (.f32 (.f32 sinTheta_i (+.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_O (.f32 v v)) (/.f32 #s(literal 2 binary32) (.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_O (.f32 v sinTheta_i)) (/.f32 #s(literal 1/3 binary32) (.f32 v (.f32 sinTheta_i (.f32 v sinTheta_i))))))) v)))
	98.5%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	91.5%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v (.f32 #s(literal 2 binary32) (.f32 v (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	96.1%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))) (/.f32 (.f32 v v) (.f32 cosTheta_i cosTheta_O)))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)) (.f32 cosTheta_i #s(literal 1 binary32))))
	63.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)))
	59.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) cosTheta_i)))
	94.6%	(/.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (*.f32 cosTheta_O cosTheta_i)))
	98.3%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	98.6%	(.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (*.f32 v #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) cosTheta_i)) cosTheta_O)
	57.1%	(.f32 (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v)) (.f32 cosTheta_O cosTheta_i))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) cosTheta_O)
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (neg.f32 v))) v)
	64.2%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	98.3%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
	58.8%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	64.2%	(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
	98.7%	(.f32 (/.f32 cosTheta_i (.f32 v v)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) cosTheta_O))
	64.2%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))
	98.6%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
	64.2%	(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
	98.5%	(.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_O)) cosTheta_i)
	58.8%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
	98.4%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O cosTheta_i))
	64.2%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_O cosTheta_i))
	98.3%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	58.8%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_O cosTheta_i))
	98.8%	(.f32 (.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.8%	(.f32 (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	64.2%	(.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	98.7%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	99.0%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v) cosTheta_O)) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v))
✓	58.8%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
✓	58.8%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	98.7%	(.f32 (.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (*.f32 v v)) cosTheta_O) cosTheta_i) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.5%	(.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.1%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_i))) #s(literal -1 binary32))))
	98.3%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))) (.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	98.5%	(.f32 (.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (.f32 v v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	94.9%	(.f32 (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v))) (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32))))
	98.7%	(.f32 (.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O v))))) #s(literal -1 binary32))) (.f32 cosTheta_O cosTheta_i))
	98.8%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)))
	98.6%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	64.2%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	64.2%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))))))

Compiler

Compiled 6 369 to 2 405 computations (62.2% saved)

regimes386.0ms (1.7%)

Memory

28.4MiB live, 691.6MiB allocated

Counts

154 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

69.0ms	cosTheta_i
63.0ms	cosTheta_O
46.0ms	sinTheta_i
42.0ms	v
42.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`cosTheta_O`
99.0%	1	`sinTheta_i`
99.0%	1	`sinTheta_O`
99.0%	1	`v`
99.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
99.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes316.0ms (1.4%)

Memory

8.0MiB live, 648.8MiB allocated

Counts

133 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

47.0ms	sinTheta_O
46.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
40.0ms	sinTheta_i
38.0ms	cosTheta_i
37.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`sinTheta_O`
98.9%	1	`cosTheta_i`
98.9%	1	`cosTheta_O`
98.9%	1	`sinTheta_i`
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)

regimes411.0ms (1.8%)

Memory

-19.1MiB live, 662.0MiB allocated

Counts

131 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

69.0ms	(*.f32 sinTheta_i sinTheta_O)
66.0ms	v
64.0ms	sinTheta_i
58.0ms	sinTheta_O
39.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

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 cosTheta_i cosTheta_O)`
98.9%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes319.0ms (1.4%)

Memory

14.3MiB live, 691.9MiB allocated

Counts

124 → 1

Calls

Call 1

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

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

Calls

8 calls:

64.0ms	cosTheta_O
47.0ms	(*.f32 cosTheta_i cosTheta_O)
36.0ms	v
35.0ms	sinTheta_O
34.0ms	cosTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes297.0ms (1.3%)

Memory

1.0MiB live, 518.7MiB allocated

Counts

111 → 1

Calls

Call 1

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

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

Calls

8 calls:

55.0ms	(*.f32 sinTheta_i sinTheta_O)
55.0ms	(*.f32 cosTheta_i cosTheta_O)
35.0ms	sinTheta_O
31.0ms	cosTheta_i
30.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes278.0ms (1.3%)

Memory

-6.3MiB live, 365.1MiB allocated

Counts

108 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

64.0ms	cosTheta_O
41.0ms	sinTheta_O
31.0ms	v
30.0ms	cosTheta_i
28.0ms	(*.f32 sinTheta_i sinTheta_O)

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes199.0ms (0.9%)

Memory

-10.3MiB live, 345.4MiB allocated

Counts

83 → 1

Calls

Call 1

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

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

Calls

8 calls:

29.0ms	cosTheta_i
26.0ms	sinTheta_O
25.0ms	(*.f32 sinTheta_i sinTheta_O)
25.0ms	sinTheta_i
24.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes242.0ms (1.1%)

Memory

16.5MiB live, 292.0MiB allocated

Counts

82 → 1

Calls

Call 1

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

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

Calls

8 calls:

49.0ms	cosTheta_i
42.0ms	(*.f32 sinTheta_i sinTheta_O)
36.0ms	v
24.0ms	sinTheta_i
24.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes187.0ms (0.8%)

Memory

24.3MiB live, 339.5MiB allocated

Counts

80 → 1

Calls

Call 1

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

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

Calls

8 calls:

26.0ms	v
25.0ms	sinTheta_O
23.0ms	cosTheta_i
23.0ms	sinTheta_i
23.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes166.0ms (0.7%)

Memory

-14.8MiB live, 470.5MiB allocated

Counts

71 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

24.0ms	v
23.0ms	sinTheta_i
20.0ms	sinTheta_O
20.0ms	cosTheta_O
20.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
64.2%	1	`cosTheta_i`
64.2%	1	`cosTheta_O`
64.2%	1	`sinTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`v`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes108.0ms (0.5%)

Memory

17.9MiB live, 247.8MiB allocated

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

16.0ms	cosTheta_i
16.0ms	cosTheta_O
14.0ms	sinTheta_i
13.0ms	v
12.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
64.2%	1	`sinTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`cosTheta_i`
64.2%	1	`v`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes107.0ms (0.5%)

Memory

-2.1MiB live, 199.9MiB allocated

Counts

42 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

20.0ms	(*.f32 sinTheta_i sinTheta_O)
16.0ms	sinTheta_O
13.0ms	cosTheta_O
13.0ms	cosTheta_i
13.0ms	v

Results

Accuracy	Segments	Branch
64.2%	1	`sinTheta_i`
64.2%	1	`cosTheta_i`
64.2%	1	`v`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`cosTheta_O`
64.2%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes99.0ms (0.4%)

Memory

5.9MiB live, 199.0MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

14.0ms	v
14.0ms	cosTheta_i
13.0ms	cosTheta_O
12.0ms	(*.f32 sinTheta_i sinTheta_O)
12.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
64.2%	1	`sinTheta_i`
64.2%	1	`cosTheta_O`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`cosTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`v`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes93.0ms (0.4%)

Memory

-10.3MiB live, 107.8MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

27.0ms	cosTheta_i
13.0ms	v
9.0ms	(*.f32 sinTheta_i sinTheta_O)
9.0ms	sinTheta_i
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
64.2%	1	`sinTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`cosTheta_i`
64.2%	1	`cosTheta_O`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes100.0ms (0.4%)

Memory

1.5MiB live, 115.8MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

8 calls:

35.0ms	(*.f32 sinTheta_i sinTheta_O)
11.0ms	cosTheta_i
10.0ms	sinTheta_i
9.0ms	sinTheta_O
9.0ms	v

Results

Accuracy	Segments	Branch
64.2%	1	`sinTheta_i`
64.2%	1	`sinTheta_O`
64.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
64.2%	1	`cosTheta_i`
64.2%	1	`cosTheta_O`
64.2%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
64.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
64.2%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes45.0ms (0.2%)

Memory

22.8MiB live, 99.8MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	v
6.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
5.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
59.3%	1	`sinTheta_i`
59.3%	1	`cosTheta_i`
59.3%	1	`sinTheta_O`
59.3%	1	`v`
59.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.3%	1	`cosTheta_O`
59.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes51.0ms (0.2%)

Memory

-46.6MiB live, 88.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	sinTheta_i
6.0ms	sinTheta_O
5.0ms	(*.f32 sinTheta_i sinTheta_O)
5.0ms	cosTheta_O
5.0ms	v

Results

Accuracy	Segments	Branch
59.3%	1	`sinTheta_O`
59.3%	1	`cosTheta_i`
59.3%	1	`v`
59.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.3%	1	`cosTheta_O`
59.3%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes35.0ms (0.2%)

Memory

36.7MiB live, 74.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	v

Results

Accuracy	Segments	Branch
58.8%	1	`sinTheta_O`
58.8%	1	`cosTheta_i`
58.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.8%	1	`v`
58.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.8%	1	`sinTheta_i`
58.8%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes25.0ms (0.1%)

Memory

-32.2MiB live, 46.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	sinTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
58.8%	1	`cosTheta_i`
58.8%	1	`sinTheta_O`
58.8%	1	`v`
58.8%	1	`cosTheta_O`
58.8%	1	`sinTheta_i`
58.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes13.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	sinTheta_O
2.0ms	v
2.0ms	cosTheta_O
2.0ms	sinTheta_i
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

Accuracy	Segments	Branch
58.8%	1	`cosTheta_i`
58.8%	1	`sinTheta_O`
58.8%	1	`sinTheta_i`
58.8%	1	`v`
58.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.8%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes11.0ms (0%)

Memory

-11.4MiB live, 27.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

2.0ms	cosTheta_O
1.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
1.0ms	cosTheta_i
1.0ms	sinTheta_i
1.0ms	v

Results

Accuracy	Segments	Branch
58.8%	1	`sinTheta_O`
58.8%	1	`sinTheta_i`
58.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
58.8%	1	`cosTheta_i`
58.8%	1	`v`
58.8%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
58.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.8%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify15.0ms (0.1%)

Memory

-11.7MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Rules

104×	`*-commutative_binary32`
14×	`+-commutative_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`
12×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	383
1	154	383
2	169	383
3	181	383
4	187	383
5	189	383

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (8.3%)

Memory

40.1MiB live, 1 846.6MiB allocated

Rules

11 420×	`accelerator-lowering-fma.f32`
11 420×	`accelerator-lowering-fma.f64`
10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
8 544×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	238
1	187	238
2	1240	232
0	8571	232
0	52	289
1	276	281
2	2420	278
0	8333	268
0	334	4121
1	1040	4000
2	3827	3767
3	7003	3766
0	8049	3724
0	1060	15787
1	3502	15475
0	8036	14963
0	777	14143
1	2540	13480
0	8601	13278
0	59	365
1	365	333
2	3694	333
0	10193	313
0	19	70
1	77	68
2	516	68
3	6807	68
0	8047	68
0	1307	17661
1	4469	17255
0	8415	16825

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 979 to 556 computations (43.2% saved)

preprocess1.9s (8.7%)

Memory: -140.4MiB live, 2 056.9MiB allocated
Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 8 544 to 5 282 computations (38.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze576.0ms (2.6%)

sample2.8s (12.8%)

preprocess260.0ms (1.2%)

explain343.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify276.0ms (1.2%)

localize52.0ms (0.2%)

series54.0ms (0.2%)

rewrite305.0ms (1.4%)

simplify451.0ms (2%)

eval104.0ms (0.5%)

prune189.0ms (0.8%)

simplify265.0ms (1.2%)

localize206.0ms (0.9%)

series198.0ms (0.9%)

rewrite498.0ms (2.2%)

simplify670.0ms (3%)

eval551.0ms (2.5%)

prune462.0ms (2.1%)

simplify202.0ms (0.9%)

localize215.0ms (1%)

series102.0ms (0.5%)

rewrite349.0ms (1.6%)

simplify472.0ms (2.1%)

eval314.0ms (1.4%)

prune1.3s (6.1%)

simplify1.5s (6.9%)

localize241.0ms (1.1%)

series203.0ms (0.9%)

rewrite626.0ms (2.8%)

simplify536.0ms (2.4%)

eval169.0ms (0.8%)

prune311.0ms (1.4%)

regimes386.0ms (1.7%)

regimes316.0ms (1.4%)

regimes411.0ms (1.8%)

regimes319.0ms (1.4%)

regimes297.0ms (1.3%)

regimes278.0ms (1.3%)

regimes199.0ms (0.9%)

regimes242.0ms (1.1%)

regimes187.0ms (0.8%)

regimes166.0ms (0.7%)

regimes108.0ms (0.5%)

regimes107.0ms (0.5%)

regimes99.0ms (0.4%)

regimes93.0ms (0.4%)

regimes100.0ms (0.4%)

regimes45.0ms (0.2%)

regimes51.0ms (0.2%)

regimes35.0ms (0.2%)

regimes25.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0%)

simplify15.0ms (0.1%)

soundness1.8s (8.3%)

preprocess1.9s (8.7%)

end0.0ms (0%)

Profiling