Metrics for HairBSDF, Mp, upper

analyze686.0ms (3.1%)

Memory

17.3MiB live, 929.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.7s (12%)

Memory

-173.3MiB live, 4 018.0MiB allocated

Samples

1.8s

8 256×

valid

Precisions

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

ival-<=: 343.0ms (22.8% of total)

const: 308.0ms (20.5% of total)

ival-mult: 286.0ms (19.1% of total)

ival-div: 251.0ms (16.7% of total)

ival-sinh: 100.0ms (6.7% of total)

ival-exp: 77.0ms (5.1% of total)

ival-and: 55.0ms (3.7% of total)

ival-neg: 40.0ms (2.7% of total)

ival-<: 23.0ms (1.5% of total)

exact: 15.0ms (1% of total)

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

Bogosity

preprocess272.0ms (1.2%)

Memory

-2.1MiB live, 470.5MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain236.0ms (1.1%)

Memory

15.1MiB live, 299.7MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
3	(9.185350326207787e-33 5.419824673110269e-23 -3.330699531261137e-31 3.503573644700694e-16 0.15967459976673126)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	-	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	3	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	75

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

88.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 14.0ms (34.7% of total)

ival-mult: 14.0ms (34.7% of total)

ival-sinh: 5.0ms (12.4% of total)

ival-exp: 4.0ms (9.9% of total)

ival-neg: 2.0ms (5% of total)

exact: 1.0ms (2.5% 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify225.0ms (1%)

Memory

-22.3MiB live, 417.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize51.0ms (0.2%)

Memory

14.2MiB live, 128.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.3%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

33.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (33.2% of total)

ival-div: 6.0ms (28.4% of total)

ival-sinh: 3.0ms (14.2% of total)

ival-exp: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.3%)

Memory

19.6MiB live, 96.7MiB allocated

Counts

7 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_O	@	inf	(* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))
7.0ms	sinTheta_O	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	cosTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	cosTheta_i	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

rewrite292.0ms (1.3%)

Memory

-48.1MiB live, 569.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 712

Calls

Call 1

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

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

simplify956.0ms (4.3%)

Memory

33.9MiB live, 743.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval854.0ms (3.9%)

Memory: -3.8MiB live, 146.7MiB allocated
Compiler: Compiled 24 768 to 2 509 computations (89.9% saved)

prune362.0ms (1.6%)

Memory

10.5MiB live, 305.3MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	923	41	964
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	924	41	965

Accuracy

99.7%

Counts

965 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.0%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
	98.4%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O 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))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 #s(literal 2 binary32) (.f32 v v)))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
▶	62.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	97.6%	(/.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))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.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) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 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 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 cosTheta_i v) cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
	62.0%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.8%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.0%	(/.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)))))
	60.0%	(/.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_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	93.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
	94.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 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)))
	97.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.5%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
▶	98.8%	(.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) v))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
	98.6%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 v v)))
	98.5%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.7%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))))
▶	98.7%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	90.1%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 2 546 to 1 708 computations (32.9% saved)

simplify1.4s (6.5%)

Memory

-6.5MiB live, 307.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

6 730×	`-lowering-.f32`
6 730×	`-lowering-.f64`
3 590×	`accelerator-lowering-fma.f32`
3 590×	`accelerator-lowering-fma.f64`
2 686×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	418
1	132	418
2	504	418
3	2668	418
4	4166	418
0	8130	418

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize668.0ms (3%)

Memory

-0.9MiB live, 320.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
✓	accuracy	99.4%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
✓	accuracy	99.0%	(.f32 (/.f32 cosTheta_i v) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v))
✓	accuracy	99.3%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) v)
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.5%	(fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))
✓	accuracy	99.5%	(.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.8%	(/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

264.0ms

256×

valid

Compiler

Compiled 460 to 47 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-mult: 204.0ms (86.1% of total)

ival-div: 20.0ms (8.4% of total)

ival-exp: 4.0ms (1.7% of total)

ival-sinh: 3.0ms (1.3% of total)

ival-add: 2.0ms (0.8% of total)

ival-sub: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series152.0ms (0.7%)

Memory

15.7MiB live, 244.7MiB allocated

Counts

21 → 780

Calls

Call 1

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

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

195 calls:

Time	Variable		Point	Expression
16.0ms	sinTheta_i	@	0	(* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v)
13.0ms	cosTheta_i	@	-inf	(* (/ (* (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) cosTheta_i) (* v 2)) (/ (/ cosTheta_O v) (sinh (/ 1 v))))
9.0ms	sinTheta_i	@	0	(+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)
8.0ms	sinTheta_i	@	-inf	(* (/ (* (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0)) cosTheta_i) (* v 2)) (/ (/ cosTheta_O v) (sinh (/ 1 v))))
5.0ms	sinTheta_i	@	-inf	(/ (* cosTheta_i cosTheta_O) (* (* (sinh (/ 1 v)) (* (* v 2) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) v))

rewrite463.0ms (2.1%)

Memory

-0.9MiB live, 802.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 066×	`/-lowering-/.f32`
5 066×	`/-lowering-/.f64`
3 258×	`-lowering-.f32`
3 258×	`-lowering-.f64`
1 530×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	242
1	243	242
2	2294	233
0	8803	233

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 2 484

Calls

Call 1

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

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

simplify1.1s (4.8%)

Memory

-13.8MiB live, 1 145.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 786×	`accelerator-lowering-fma.f32`
11 786×	`accelerator-lowering-fma.f64`
8 984×	`-lowering-.f32`
8 984×	`-lowering-.f64`
4 326×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	819	15556
1	2723	14821
0	8489	14592

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

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))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
cosTheta_O
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(- (+ cosTheta_O (* -1 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4)))) (* 1/6 (/ cosTheta_O (pow v 2))))
(- (+ cosTheta_O (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_O (pow v 4))) (+ (* 1/120 (/ cosTheta_O (pow v 4))) (* 1/6 (/ cosTheta_O (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (* 1/36 (/ cosTheta_O (pow v 4))))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 6))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (+ (* -1/5040 (/ cosTheta_O (pow v 6))) (+ (* 1/720 (/ cosTheta_O (pow v 6))) (* 1/36 (/ cosTheta_O (pow v 4)))))))))
(* 1/2 (/ cosTheta_i v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_i v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ cosTheta_i v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_i v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_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)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 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))))))
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(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
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2
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2
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4)))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 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))))))
(* -1/2 (* cosTheta_O cosTheta_i))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
(+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* 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 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* 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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 (neg.f32 sinTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.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 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.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 (.f32 (neg.f32 sinTheta_O) cosTheta_i) cosTheta_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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 (neg.f32 sinTheta_i) cosTheta_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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
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(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -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 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O)
(- (+ cosTheta_O (* -1 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4)))) (* 1/6 (/ cosTheta_O (pow v 2))))
(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_O #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (.f32 v v)) cosTheta_O))
(- (+ cosTheta_O (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_O (pow v 4))) (+ (* 1/120 (/ cosTheta_O (pow v 4))) (* 1/6 (/ cosTheta_O (pow v 2))))))
(-.f32 (-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O #s(literal -1/840 binary32) (.f32 cosTheta_O #s(literal 7/2160 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) #s(literal -7/360 binary32) (.f32 #s(literal 1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)))))
cosTheta_O
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O)
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (* 1/36 (/ cosTheta_O (pow v 4))))))
(fma.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 6))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (+ (* -1/5040 (/ cosTheta_O (pow v 6))) (+ (* 1/720 (/ cosTheta_O (pow v 6))) (* 1/36 (/ cosTheta_O (pow v 4)))))))))
(+.f32 cosTheta_O (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 6 binary32))) #s(literal 1/840 binary32) (*.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32)))))
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_i v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (.f32 v v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_i (.f32 (/.f32 sinTheta_O (.f32 v v)) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal 1/4 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i sinTheta_O)) (.f32 v v))) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (* 1/2 (/ cosTheta_i v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (.f32 v v)))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/4 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_i (.f32 (/.f32 sinTheta_i (.f32 v v)) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v)))) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(+ (* 1/2 (/ cosTheta_i v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/4 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) (/.f32 (.f32 (.f32 #s(literal -1/12 binary32) cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v)) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (fma.f32 cosTheta_i (.f32 (/.f32 (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) #s(literal -1/12 binary32)) (fma.f32 cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) v) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_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) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/4 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (fma.f32 cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i sinTheta_i)) v)) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/12 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (fma.f32 cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 sinTheta_i sinTheta_i)) v) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/4 binary32)))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v))
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cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
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(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
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(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
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(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))
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(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_i
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(fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
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cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
(+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
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(+ (* 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)))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 (neg.f32 sinTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 sinTheta_i (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal 1/3 binary32)) (fma.f32 sinTheta_O (neg.f32 (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v)) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) sinTheta_i))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 (neg.f32 sinTheta_i) cosTheta_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 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_O (fma.f32 (.f32 sinTheta_O #s(literal -1/2 binary32)) (fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_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 5 binary32)))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_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 5 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (/.f32 (.f32 (.f32 (neg.f32 cosTheta_O) 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)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v)))
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v)))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 v (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 2 binary32)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))))))
(.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)))
(* v (+ 2 (+ (* 2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 2 (/ (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3)))))))
(.f32 v (+.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 (.f32 #s(literal 1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) (.f32 v (*.f32 v v)))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -2 binary32) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)) 2)))
(.f32 (+.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)) (neg.f32 v))
(* -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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v)) #s(literal -2 binary32))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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2
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2
#s(literal 2 binary32)
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(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 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 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 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 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32)))

eval568.0ms (2.6%)

Memory: 47.0MiB live, 658.1MiB allocated
Compiler: Compiled 93 986 to 4 792 computations (94.9% saved)

prune370.0ms (1.7%)

Memory

-40.9MiB live, 1 095.5MiB allocated

Pruning

65 alts after pruning (64 fresh and 1 done)

	Pruned	Kept	Total
New	3 610	51	3 661
Fresh	23	13	36
Picked	4	1	5
Done	0	0	0
Total	3 637	65	3 702

Accuracy

99.8%

Counts

3 702 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	62.0%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
	98.7%	(/.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 v cosTheta_i))
	98.4%	(/.f32 (.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O 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))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
	62.0%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	62.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.0%	(/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) (.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (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))
	67.1%	(/.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))
	67.1%	(/.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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
	67.1%	(/.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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.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)) v))
	98.0%	(/.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))
	98.0%	(/.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)))))
	62.0%	(/.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)
	61.9%	(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
	98.4%	(/.f32 cosTheta_O (.f32 (/.f32 v cosTheta_i) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	93.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 v (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	62.2%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.6%	(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (*.f32 v v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(.f32 (/.f32 (fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) v) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	98.6%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v))
	97.3%	(.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
▶	98.2%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.7%	(.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.6%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) v)))) cosTheta_i)
	98.1%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))))))
	98.3%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) cosTheta_i))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	92.5%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal -2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	62.3%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
	61.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	97.8%	(.f32 (.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
▶	98.5%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	98.4%	(.f32 (.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 cosTheta_i v)) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	98.2%	(.f32 (.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v)) (.f32 cosTheta_i #s(literal 1/2 binary32)))
	97.9%	(.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.0%	(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) (*.f32 v #s(literal 2 binary32)))))
▶	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	95.6%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_i) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	61.9%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
	98.0%	(.f32 cosTheta_O (/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (.f32 (.f32 v #s(literal 2 binary32)) v)))
	98.0%	(.f32 cosTheta_O (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (neg.f32 cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) v)))
	61.9%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
	98.0%	(.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))))))
▶	98.8%	(.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
	61.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
	98.1%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	59.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
	98.6%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.7%	(.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	95.6%	(.f32 cosTheta_O (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	97.9%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	61.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
	90.1%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))

Compiler

Compiled 3 602 to 2 427 computations (32.6% saved)

simplify270.0ms (1.2%)

Memory

22.3MiB live, 615.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 398×	`-lowering-.f32`
5 398×	`-lowering-.f64`
3 834×	`/-lowering-/.f32`
3 834×	`/-lowering-/.f64`
3 218×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	362
1	121	362
2	413	362
3	1992	362
4	3910	362
5	6517	362
0	8310	362

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize154.0ms (0.7%)

Memory

-6.9MiB live, 432.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.3%	(/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.1%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
✓	accuracy	99.2%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))
✓	accuracy	98.9%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.9%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
✓	accuracy	99.5%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.8%	(/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	accuracy	99.4%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.5%	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
✓	accuracy	98.9%	(/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	accuracy	98.8%	(.f32 (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

82.0ms

256×

valid

Compiler

Compiled 391 to 46 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 22.0ms (38.3% of total)

ival-mult: 22.0ms (38.3% of total)

ival-exp: 5.0ms (8.7% of total)

ival-sinh: 3.0ms (5.2% of total)

ival-add: 2.0ms (3.5% of total)

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

exact: 1.0ms (1.7% of total)

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

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

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

series61.0ms (0.3%)

Memory

-7.0MiB live, 156.9MiB allocated

Counts

21 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
1.0ms	sinTheta_O	@	inf	(* (* (/ (* cosTheta_i cosTheta_O) v) (/ -1/2 (sinh (/ 1 v)))) (/ (neg (exp (+ (* sinTheta_i (- 0 (/ sinTheta_O v))) 0))) v))
1.0ms	sinTheta_i	@	0	(* (/ (/ cosTheta_i v) (* (sinh (/ 1 v)) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) (/ 1/2 v))
1.0ms	cosTheta_i	@	0	(* (/ (/ cosTheta_i v) (* (sinh (/ 1 v)) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) (/ 1/2 v))
1.0ms	sinTheta_O	@	0	(* (/ (/ cosTheta_i v) (* (sinh (/ 1 v)) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) (/ 1/2 v))
1.0ms	sinTheta_O	@	-inf	(* (/ (/ cosTheta_i v) (* (sinh (/ 1 v)) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) (/ 1/2 v))

rewrite248.0ms (1.1%)

Memory

-1.9MiB live, 572.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 340×	`/-lowering-/.f32`
4 340×	`/-lowering-/.f64`
3 632×	`-lowering-.f32`
3 632×	`-lowering-.f64`
1 422×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	217
1	228	217
2	2131	210
0	9022	210

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 146

Calls

Call 1

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

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

simplify614.0ms (2.8%)

Memory

9.7MiB live, 1 183.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 390×	`accelerator-lowering-fma.f32`
12 390×	`accelerator-lowering-fma.f64`
9 030×	`-lowering-.f32`
9 030×	`-lowering-.f64`
4 722×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	806	13747
1	2746	13104
0	8733	12915

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

Inputs
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))) v)) (* -1/2 cosTheta_i)) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* 1/2 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 4) (- (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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (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 (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v) (/ (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
cosTheta_O
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(- (+ cosTheta_O (* -1 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4)))) (* 1/6 (/ cosTheta_O (pow v 2))))
(- (+ cosTheta_O (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_O (pow v 4))) (+ (* 1/120 (/ cosTheta_O (pow v 4))) (* 1/6 (/ cosTheta_O (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (* 1/36 (/ cosTheta_O (pow v 4))))))
(+ cosTheta_O (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 6))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (+ (* -1/5040 (/ cosTheta_O (pow v 6))) (+ (* 1/720 (/ cosTheta_O (pow v 6))) (* 1/36 (/ cosTheta_O (pow v 4)))))))))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 (/ cosTheta_i v))
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(* 1/2 cosTheta_i)
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -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) 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))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (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))))))
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Outputs
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_i (/.f32 (neg.f32 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 #s(literal -1/2 binary32) (.f32 (fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v) (fma.f32 #s(literal 1/3 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))))) (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) sinTheta_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))))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(/ cosTheta_i (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 v v))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (neg.f32 cosTheta_i))) (.f32 v v))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v) (/ (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))
(-.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O sinTheta_i))) (fma.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) (fma.f32 cosTheta_i (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (neg.f32 cosTheta_i))) (.f32 (.f32 (.f32 (neg.f32 sinTheta_O) sinTheta_i) cosTheta_i) (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) #s(literal 1/6 binary32))))) (.f32 v (.f32 v v)))) (fma.f32 cosTheta_i (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) (neg.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 cosTheta_i (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (neg.f32 v))) v))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (/.f32 (-.f32 (.f32 cosTheta_i (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (/.f32 (fma.f32 cosTheta_i (fma.f32 sinTheta_O (.f32 sinTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) (.f32 #s(literal 1/6 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) v)) (neg.f32 v))) v))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 #s(literal 2 binary32) (/.f32 cosTheta_i (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O) v) (.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 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_i cosTheta_O (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O)) 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 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 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 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O) v) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) (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))
(neg.f32 (/.f32 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/6 binary32)))) v))) v)) 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_i (.f32 cosTheta_O #s(literal -1/2 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_i cosTheta_O)) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/6 binary32)))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 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))
(/ -1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ -1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ -1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ -1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1/2 v)
(*.f32 v #s(literal -1/2 binary32))
(* v (- (* 1/12 (/ 1 (pow v 2))) 1/2))
(.f32 v (+.f32 (/.f32 #s(literal 1/12 binary32) (.f32 v v)) #s(literal -1/2 binary32)))
(* v (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))))
(.f32 v (+.f32 (/.f32 #s(literal 1/12 binary32) (.f32 v v)) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))))))
(* v (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))))
(.f32 v (-.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))))))
(* -1/2 v)
(*.f32 v #s(literal -1/2 binary32))
(* -1 (* v (- 1/2 (* 1/12 (/ 1 (pow v 2))))))
(neg.f32 (.f32 v (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (.f32 v v)))))
(* -1 (* v (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))))
(.f32 (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (.f32 v v)))) (neg.f32 v))
(* -1 (* v (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))))
(.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/12 binary32) (.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))) (neg.f32 v))

eval214.0ms (1%)

Memory: 49.5MiB live, 432.8MiB allocated
Compiler: Compiled 57 195 to 4 828 computations (91.6% saved)

prune335.0ms (1.5%)

Memory

0.9MiB live, 636.9MiB allocated

Pruning

66 alts after pruning (64 fresh and 2 done)

	Pruned	Kept	Total
New	2 259	44	2 303
Fresh	39	20	59
Picked	4	1	5
Done	0	1	1
Total	2 302	66	2 368

Accuracy

99.8%

Counts

2 368 → 66

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(/.f32 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
	59.9%	(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
	97.6%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.0%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	62.0%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
	98.1%	(/.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))))
	62.0%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	62.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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 (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))
▶	67.1%	(/.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))
	67.1%	(/.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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.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)) v))
	98.0%	(/.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))
	61.9%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	98.1%	(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
	97.9%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
	97.8%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	61.9%	(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
	97.9%	(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	62.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	93.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 v (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	62.2%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.6%	(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (*.f32 v v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	98.6%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
	59.9%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
	72.7%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))))
	67.1%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
	61.9%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	96.9%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
	61.9%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) cosTheta_O)
	97.9%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))
	98.0%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))))
	98.3%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) cosTheta_i))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	61.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	97.8%	(.f32 (.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	97.9%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 #s(literal 1 binary32)) v))
	98.0%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v (.f32 v #s(literal 2 binary32)))) cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.0%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.0%	(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	94.4%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	61.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (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 (neg.f32 sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
▶	97.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.7%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
	97.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.2%	(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.1%	(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
	97.8%	(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	95.2%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	98.9%	(.f32 cosTheta_O (.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
	98.2%	(.f32 cosTheta_O (.f32 (/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v)))
	98.6%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
	98.7%	(.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	61.9%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
✓	61.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
▶	61.9%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))

Compiler

Compiled 3 160 to 2 152 computations (31.9% saved)

simplify531.0ms (2.4%)

Memory

-130.6MiB live, 384.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	32	(fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	0	(/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O)
✓	cost-diff	320	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	0	(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)))
✓	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	192	(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	-32	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	0	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	cost-diff	64	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	cost-diff	3584	(pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))

Rules

4 644×	`accelerator-lowering-fma.f32`
4 644×	`accelerator-lowering-fma.f64`
4 572×	`-lowering-.f32`
4 572×	`-lowering-.f64`
4 228×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	478
1	146	428
2	519	428
3	2303	422
4	3442	422
5	4079	422
6	4893	422
7	7970	422
0	8490	409

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize172.0ms (0.8%)

Memory

32.8MiB live, 259.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.4%	(/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 v #s(literal 2 binary32))))
✓	accuracy	99.0%	(/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	99.3%	(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(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	99.5%	(/.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	99.1%	(.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	98.8%	(/.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 cosTheta_O v)
✓	accuracy	99.9%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
✓	accuracy	99.6%	(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
✓	accuracy	99.1%	(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32)))
✓	accuracy	98.9%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))))
✓	accuracy	98.8%	(.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.1%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

94.0ms

256×

valid

Compiler

Compiled 458 to 55 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 29.0ms (43.8% of total)

ival-div: 21.0ms (31.7% of total)

ival-add: 5.0ms (7.5% of total)

const: 4.0ms (6% of total)

ival-sinh: 3.0ms (4.5% of total)

ival-exp: 2.0ms (3% of total)

ival-pow: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series117.0ms (0.5%)

Memory

-2.5MiB live, 146.4MiB allocated

Counts

23 → 756

Calls

Call 1

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

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

Calls

189 calls:

Time	Variable		Point	Expression
37.0ms	sinTheta_i	@	0	(/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* v (* v 2)))
7.0ms	v	@	inf	(/ (* cosTheta_i cosTheta_O) (* (+ (* 2 (+ (* sinTheta_O (/ sinTheta_i v)) (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) 1/2)) 1/6) (* v v)))) 2) v))
5.0ms	v	@	0	(/ (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)) (* 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	cosTheta_i	@	inf	(* (/ (* (/ 1 v) (pow (/ 1 cosTheta_i) -1)) (* (sinh (/ 1 v)) (exp (+ (* sinTheta_i (/ sinTheta_O v)) 0)))) (/ 1/2 v))

rewrite471.0ms (2.1%)

Memory

32.6MiB live, 644.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 870×	`/-lowering-/.f32`
5 870×	`/-lowering-/.f64`
4 030×	`-lowering-.f32`
4 030×	`-lowering-.f64`
3 396×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	296
1	289	264
2	2560	264
0	8730	252

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1 233

Calls

Call 1

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

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

simplify674.0ms (3.1%)

Memory

-4.8MiB live, 877.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 808×	`-lowering-.f32`
7 808×	`-lowering-.f64`
6 260×	`accelerator-lowering-fma.f32`
6 260×	`accelerator-lowering-fma.f64`
4 092×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1124	14837
1	3858	14484
0	8187	14042

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

Outputs
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
cosTheta_i
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_i))) (.f32 v v))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v) (/ (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))))
(-.f32 (-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (neg.f32 (.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)))) (fma.f32 cosTheta_i (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 (fma.f32 cosTheta_i (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_i))))))) (.f32 v (.f32 v v)))) (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) (fma.f32 cosTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 cosTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_i) (.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))) v))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 cosTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_i) (.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 (fma.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))) (fma.f32 cosTheta_i (.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_i) (.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))) v))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 #s(literal 2 binary32) (/.f32 cosTheta_i (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(fma.f32 sinTheta_i (neg.f32 (fma.f32 sinTheta_i (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_i sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))) (/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (neg.f32 (fma.f32 sinTheta_i (fma.f32 cosTheta_i (neg.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (fma.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))) (/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(fma.f32 #s(literal 2 binary32) (/.f32 cosTheta_i (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))) (/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(fma.f32 #s(literal 2 binary32) (/.f32 cosTheta_i (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_O (fma.f32 sinTheta_O (neg.f32 (fma.f32 sinTheta_O (fma.f32 cosTheta_i (neg.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) v) (/.f32 (.f32 #s(literal 1/3 binary32) (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))))) (.f32 #s(literal -2 binary32) (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* 2 (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))
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(/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))
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(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* -1 (* v (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
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(* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* v (- (* v (- (* -1 (* v (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3)))))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 2)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
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(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(-.f32 #s(literal 0 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O) v) (.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) 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))
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(* -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))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(+ (* 1/6 (/ 1 (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
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(* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O sinTheta_i)) (+ (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2)) (/ (pow sinTheta_O 2) v))))
(.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 #s(literal 2 binary32) v)
(* 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 #s(literal 2 binary32) v)
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2)))
(.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal -2 binary32) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(.f32 (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (* 2 (/ (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 2)))
(.f32 (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(.f32 (.f32 #s(literal 1/2 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
1
#s(literal 1 binary32)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/6 (/ 1 (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))))
(/ 1/2 (pow v 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 v v))
(+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))
(+ (* sinTheta_i (+ (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 4))) (* 1/2 (/ sinTheta_O (pow v 3))))) (* 1/2 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_O (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))
(+ (* sinTheta_i (+ (* 1/2 (/ sinTheta_O (pow v 3))) (* sinTheta_i (+ (* 1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 5))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 4))))))) (* 1/2 (/ 1 (pow v 2))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (pow.f32 v #s(literal 5 binary32))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_O) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(/ 1/2 (pow v 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 v v))
(+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v (.f32 v v))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))
(+ (* sinTheta_O (+ (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 4))) (* 1/2 (/ sinTheta_i (pow v 3))))) (* 1/2 (/ 1 (pow v 2))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 sinTheta_i (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))
(+ (* sinTheta_O (+ (* 1/2 (/ sinTheta_i (pow v 3))) (* sinTheta_O (+ (* 1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 4))))))) (* 1/2 (/ 1 (pow v 2))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 5 binary32))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_i sinTheta_i)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) sinTheta_i) (.f32 v (.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(* 1/2 (/ (exp (/ (* sinTheta_O sinTheta_i) v)) (pow v 2)))
(.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (*.f32 v v)))
(/ 1/2 (pow v 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 v v))
(/ (+ 1/2 (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 v v))
(/ (+ 1/2 (+ (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v)))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) v))) (*.f32 v v))
(/ (+ 1/2 (+ (* 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 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/12 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 (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v)) #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) v)))) (.f32 v v))
(/ 1/2 (pow v 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 v v))
(/ (+ 1/2 (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (.f32 v v))
(/ (+ 1/2 (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v))) (pow v 2))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) v)) (.f32 v 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))) (pow v 2))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/12 binary32) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) v)) (.f32 (.f32 #s(literal 1/4 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (neg.f32 v))) v)) (*.f32 v v))

eval248.0ms (1.1%)

Memory: 44.7MiB live, 499.8MiB allocated
Compiler: Compiled 62 411 to 5 925 computations (90.5% saved)

prune528.0ms (2.4%)

Memory

-88.3MiB live, 942.1MiB allocated

Pruning

93 alts after pruning (90 fresh and 3 done)

	Pruned	Kept	Total
New	2 163	47	2 210
Fresh	16	43	59
Picked	4	1	5
Done	0	2	2
Total	2 183	93	2 276

Accuracy

99.9%

Counts

2 276 → 93

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
	97.6%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
	98.0%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	67.1%	(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
	62.0%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
	98.1%	(/.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))))
	67.2%	(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
	62.0%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	62.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
	67.1%	(/.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))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
	67.1%	(/.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))
	67.1%	(/.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))
	67.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
	98.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (*.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)) v))
	98.0%	(/.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))
	41.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 sinTheta_O)) (.f32 sinTheta_i #s(literal -2 binary32))) sinTheta_O))))
	98.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
	61.9%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	98.1%	(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
	97.8%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	67.1%	(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
	61.9%	(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
	97.9%	(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	62.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	65.9%	(/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
	62.2%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	62.2%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
	62.2%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.6%	(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (*.f32 v v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_i (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v))) (-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.9%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	67.2%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	67.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
	72.7%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))))
	67.1%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.2%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
	96.9%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
	61.9%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) cosTheta_O)
	98.0%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	67.1%	(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
	67.1%	(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
	98.2%	(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))))
	98.3%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) cosTheta_i))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	67.1%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
	61.9%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	97.8%	(.f32 (.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	97.9%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 #s(literal 1 binary32)) v))
	98.2%	(.f32 (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
	67.1%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
	72.6%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
	67.1%	(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
	98.0%	(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
	98.2%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O)
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) #s(literal -1 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.4%	(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
	98.1%	(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	95.1%	(.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_i)) #s(literal -1 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (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 (neg.f32 sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.1%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.0%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.9%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	98.2%	(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.1%	(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
	97.8%	(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
	67.1%	(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
	98.3%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	61.9%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 v v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	67.1%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
	98.9%	(.f32 cosTheta_O (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
	95.7%	(.f32 cosTheta_O (.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (log.f32 cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(.f32 cosTheta_O (.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
	98.2%	(.f32 cosTheta_O (.f32 (/.f32 (.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v)))
	98.5%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))) (/.f32 #s(literal 1/2 binary32) v)))
	61.9%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
✓	61.9%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	61.9%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
	61.9%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))

Compiler

Compiled 6 495 to 2 320 computations (64.3% saved)

regimes481.0ms (2.2%)

Memory

24.5MiB live, 764.9MiB allocated

Counts

184 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) 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_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
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(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) cosTheta_i))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 cosTheta_O (.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (.f32 (/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (sqrt.f32 cosTheta_i)) (sqrt.f32 cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
(.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_i)) #s(literal -1 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) #s(literal -1 binary32)))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(.f32 cosTheta_O (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(.f32 cosTheta_O (.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))))
(.f32 cosTheta_O (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (exp.f32 (.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
(.f32 cosTheta_O (.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (log.f32 cosTheta_i))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 (.f32 v #s(literal 2 binary32)) cosTheta_i) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.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 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (/.f32 (-.f32 (exp.f32 (.f32 (/.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) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 2 binary32)) v))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 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 (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 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) 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 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))

Outputs

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

Calls

8 calls:

86.0ms	v
69.0ms	(*.f32 cosTheta_i cosTheta_O)
57.0ms	sinTheta_O
55.0ms	cosTheta_i
55.0ms	sinTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes474.0ms (2.2%)

Memory

-1.7MiB live, 706.0MiB allocated

Counts

163 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
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(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 #s(literal 2 binary32) (.f32 v v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) (*.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
(.f32 cosTheta_O (.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_O (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 v cosTheta_i))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) v))
(.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 cosTheta_i v)) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))))))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) v) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))))))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (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 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal -2 binary32) (/.f32 v (.f32 cosTheta_i cosTheta_O))))) (/.f32 (neg.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32)))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32)))) (*.f32 v (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) v) cosTheta_i))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

93.0ms	v
65.0ms	(*.f32 cosTheta_i cosTheta_O)
64.0ms	sinTheta_i
62.0ms	sinTheta_O
50.0ms	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)

regimes375.0ms (1.7%)

Memory

9.4MiB live, 730.5MiB allocated

Counts

142 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
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(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 cosTheta_O (.f32 v v)))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (/.f32 (exp.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 0 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 #s(literal 2 binary32) (.f32 v v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) v) (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) (*.f32 v #s(literal 2 binary32)))))
(.f32 (.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 (.f32 (exp.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O v) #s(literal 0 binary32))) cosTheta_i) (.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))

Outputs

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

Calls

8 calls:

77.0ms	cosTheta_O
57.0ms	v
42.0ms	sinTheta_O
42.0ms	cosTheta_i
40.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes296.0ms (1.3%)

Memory

16.2MiB live, 457.8MiB allocated

Counts

105 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) 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_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 #s(literal 1 binary32)) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O 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 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (*.f32 v v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (/.f32 (neg.f32 sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 #s(literal 1/2 binary32) sinTheta_O) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (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 (neg.f32 sinTheta_i) v)) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(/.f32 (.f32 (fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 sinTheta_O (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (.f32 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_i cosTheta_O) (.f32 (*.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)) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))

Outputs

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

Calls

8 calls:

60.0ms	v
43.0ms	sinTheta_i
39.0ms	cosTheta_i
34.0ms	(*.f32 sinTheta_i sinTheta_O)
32.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`sinTheta_O`
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	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`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)

regimes255.0ms (1.2%)

Memory

-24.0MiB live, 493.2MiB allocated

Counts

94 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) 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_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 #s(literal 1 binary32)) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O 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 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

Outputs

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

Calls

8 calls:

35.0ms	sinTheta_O
30.0ms	v
28.0ms	cosTheta_i
28.0ms	cosTheta_O
26.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`cosTheta_O`
98.6%	1	`sinTheta_i`
98.6%	1	`sinTheta_O`
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 cosTheta_i cosTheta_O)`
98.6%	1	`v`
98.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes322.0ms (1.5%)

Memory

37.9MiB live, 421.3MiB allocated

Counts

93 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) 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_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O v) (.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal -1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 #s(literal 1 binary32)) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 (.f32 (/.f32 cosTheta_i (*.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 (fma.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

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

Calls

8 calls:

121.0ms	v
41.0ms	sinTheta_O
29.0ms	cosTheta_O
29.0ms	sinTheta_i
26.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`
98.4%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.4%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes233.0ms (1.1%)

Memory

-17.8MiB live, 352.7MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (.f32 (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 cosTheta_O (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) 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_i #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O)) v)))
(.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32)))) cosTheta_O)
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v))

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

Calls

8 calls:

42.0ms	cosTheta_i
40.0ms	(*.f32 sinTheta_i sinTheta_O)
27.0ms	sinTheta_O
27.0ms	(*.f32 cosTheta_i cosTheta_O)
25.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
98.3%	1	`sinTheta_i`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_O`
98.3%	1	`v`
98.3%	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))`
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes157.0ms (0.7%)

Memory

0.1MiB live, 269.3MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))

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

Calls

8 calls:

21.0ms	cosTheta_i
21.0ms	sinTheta_O
19.0ms	v
19.0ms	sinTheta_i
19.0ms	(/.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
98.0%	1	`cosTheta_i`
98.0%	1	`cosTheta_O`
98.0%	1	`sinTheta_i`
98.0%	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))`
98.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.0%	1	`sinTheta_O`
98.0%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes182.0ms (0.8%)

Memory

1.4MiB live, 251.5MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))

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

Calls

8 calls:

51.0ms	v
22.0ms	sinTheta_i
20.0ms	sinTheta_O
20.0ms	cosTheta_O
20.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
97.8%	1	`cosTheta_O`
97.8%	1	`sinTheta_i`
97.8%	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))`
97.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
97.8%	1	`cosTheta_i`
97.8%	1	`sinTheta_O`
97.8%	1	`v`
97.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes176.0ms (0.8%)

Memory

-7.8MiB live, 264.6MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 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 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) #s(literal -1/6 binary32))) (.f32 v v)) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #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_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i sinTheta_i)))) v)) (neg.f32 v))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))) #s(literal -1 binary32)))

Outputs

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

Calls

8 calls:

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))
26.0ms	sinTheta_O
20.0ms	sinTheta_i
18.0ms	cosTheta_i
18.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
72.7%	1	`sinTheta_i`
72.7%	1	`cosTheta_i`
72.7%	1	`cosTheta_O`
72.7%	1	`sinTheta_O`
72.7%	1	`v`
72.7%	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))`
72.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
72.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes206.0ms (0.9%)

Memory

30.8MiB live, 312.0MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)) #s(literal -1/6 binary32)) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))))

Outputs

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

Calls

8 calls:

51.0ms	sinTheta_O
48.0ms	sinTheta_i
24.0ms	(*.f32 cosTheta_i cosTheta_O)
17.0ms	cosTheta_O
17.0ms	v

Results

Accuracy	Segments	Branch
72.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
72.6%	1	`cosTheta_i`
72.6%	1	`v`
72.6%	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))`
72.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
72.6%	1	`cosTheta_O`
72.6%	1	`sinTheta_i`
72.6%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes132.0ms (0.6%)

Memory

-5.3MiB live, 270.0MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))
(/.f32 (.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) cosTheta_O) v)
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_O))) (.f32 v (.f32 v v))) #s(literal 2 binary32)) v))
(.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.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 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (.f32 cosTheta_i cosTheta_O)))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) v) (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))) (/.f32 v cosTheta_O))
(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))

Outputs

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

Calls

8 calls:

19.0ms	cosTheta_O
18.0ms	sinTheta_O
16.0ms	sinTheta_i
16.0ms	v
16.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
67.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.2%	1	`v`
67.2%	1	`cosTheta_i`
67.2%	1	`cosTheta_O`
67.2%	1	`sinTheta_O`
67.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.2%	1	`sinTheta_i`
67.2%	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))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes139.0ms (0.6%)

Memory

-0.4MiB live, 193.0MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
(.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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_O)) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (fma.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (*.f32 v v)) cosTheta_O))
(/.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 (fma.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))))) v)
(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal 1/12 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i cosTheta_O))) (neg.f32 v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))))
(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) v)))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
(.f32 (.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 v (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v)) v))
(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_O (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) cosTheta_i)
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #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_i (*.f32 sinTheta_O #s(literal -2 binary32)))) v)) v))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 2 binary32)) v))
(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v)))) v)))
(.f32 (/.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i (.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 2 binary32)) (/.f32 v cosTheta_O)))

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

Calls

8 calls:

39.0ms	cosTheta_O
18.0ms	sinTheta_i
17.0ms	sinTheta_O
14.0ms	v
13.0ms	(/.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
67.1%	1	`v`
67.1%	1	`cosTheta_i`
67.1%	1	`sinTheta_O`
67.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
67.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.1%	1	`cosTheta_O`
67.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.1%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes110.0ms (0.5%)

Memory

7.5MiB live, 136.7MiB allocated

Counts

31 → 1

Calls

Call 1

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

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:

30.0ms	cosTheta_O
25.0ms	sinTheta_i
10.0ms	v
9.0ms	cosTheta_i
9.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
67.1%	1	`sinTheta_O`
67.1%	1	`v`
67.1%	1	`cosTheta_i`
67.1%	1	`sinTheta_i`
67.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
67.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
67.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
67.1%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes53.0ms (0.2%)

Memory

-17.7MiB live, 139.3MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	sinTheta_O
7.0ms	v
6.0ms	cosTheta_O
6.0ms	cosTheta_i
6.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
62.2%	1	`v`
62.2%	1	`sinTheta_i`
62.2%	1	`sinTheta_O`
62.2%	1	`cosTheta_i`
62.2%	1	`cosTheta_O`
62.2%	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))`
62.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes49.0ms (0.2%)

Memory

5.0MiB live, 122.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	cosTheta_O
7.0ms	(*.f32 cosTheta_i cosTheta_O)
6.0ms	sinTheta_i
6.0ms	v
5.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
62.2%	1	`sinTheta_O`
62.2%	1	`sinTheta_i`
62.2%	1	`cosTheta_i`
62.2%	1	`cosTheta_O`
62.2%	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))`
62.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.2%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes47.0ms (0.2%)

Memory

-4.9MiB live, 111.4MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

8 calls:

8.0ms	v
7.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	(*.f32 cosTheta_i cosTheta_O)
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
62.2%	1	`v`
62.2%	1	`cosTheta_O`
62.2%	1	`sinTheta_i`
62.2%	1	`sinTheta_O`
62.2%	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))`
62.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.2%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes31.0ms (0.1%)

Memory

8.2MiB live, 85.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
62.0%	1	`v`
62.0%	1	`sinTheta_O`
62.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
62.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.0%	1	`sinTheta_i`
62.0%	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))`
62.0%	1	`cosTheta_O`
62.0%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes35.0ms (0.2%)

Memory

-4.4MiB live, 80.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	cosTheta_O
4.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	cosTheta_i
3.0ms	sinTheta_O
3.0ms	v

Results

Accuracy	Segments	Branch
61.9%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.9%	1	`cosTheta_O`
61.9%	1	`sinTheta_i`
61.9%	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))`
61.9%	1	`cosTheta_i`
61.9%	1	`v`
61.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
61.9%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify27.0ms (0.1%)

Memory

-0.7MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

144×	`*-commutative_binary32`
64×	`neg-mul-1_binary32`
62×	`+-commutative_binary32`
60×	`neg-sub0_binary32`
58×	`sub-neg_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	123	358
1	179	358
2	201	358
3	245	358
4	292	358
5	334	357
6	370	357
7	386	357
8	399	357
9	405	357
10	408	357
11	409	357

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.8s (8.2%)

Memory

9.4MiB live, 1 563.2MiB allocated

Rules

12 390×	`accelerator-lowering-fma.f32`
12 390×	`accelerator-lowering-fma.f64`
11 786×	`accelerator-lowering-fma.f32`
11 786×	`accelerator-lowering-fma.f64`
10 374×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1124	14837
1	3858	14484
0	8187	14042
0	44	217
1	228	217
2	2131	210
0	9022	210
0	819	15556
1	2723	14821
0	8489	14592
0	19	64
1	77	62
2	516	62
3	6807	62
0	8047	62
0	806	13747
1	2746	13104
0	8733	12915
0	52	296
1	289	264
2	2560	264
0	8730	252
0	334	3905
1	1040	3784
2	3835	3551
3	7017	3550
0	8065	3508
0	45	242
1	243	242
2	2294	233
0	8803	233

Stop Event

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

Compiler

Compiled 1 014 to 621 computations (38.8% saved)

preprocess446.0ms (2%)

Memory

18.7MiB live, 688.0MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 4 746 to 2 838 computations (40.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	123	358
1	179	358
2	201	358
3	245	358
4	292	358
5	334	357
6	370	357
7	386	357
8	399	357
9	405	357
10	408	357
11	409	357

Iter	Nodes	Cost
0	123	358
1	179	358
2	201	358
3	245	358
4	292	358
5	334	357
6	370	357
7	386	357
8	399	357
9	405	357
10	408	357
11	409	357

analyze686.0ms (3.1%)

sample2.7s (12%)

preprocess272.0ms (1.2%)

explain236.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify225.0ms (1%)

localize51.0ms (0.2%)

series58.0ms (0.3%)

rewrite292.0ms (1.3%)

simplify956.0ms (4.3%)

eval854.0ms (3.9%)

prune362.0ms (1.6%)

simplify1.4s (6.5%)

localize668.0ms (3%)

series152.0ms (0.7%)

rewrite463.0ms (2.1%)

simplify1.1s (4.8%)

eval568.0ms (2.6%)

prune370.0ms (1.7%)

simplify270.0ms (1.2%)

localize154.0ms (0.7%)

series61.0ms (0.3%)

rewrite248.0ms (1.1%)

simplify614.0ms (2.8%)

eval214.0ms (1%)

prune335.0ms (1.5%)

simplify531.0ms (2.4%)

localize172.0ms (0.8%)

series117.0ms (0.5%)

rewrite471.0ms (2.1%)

simplify674.0ms (3.1%)

eval248.0ms (1.1%)

prune528.0ms (2.4%)

regimes481.0ms (2.2%)

regimes474.0ms (2.2%)

regimes375.0ms (1.7%)

regimes296.0ms (1.3%)

regimes255.0ms (1.2%)

regimes322.0ms (1.5%)

regimes233.0ms (1.1%)

regimes157.0ms (0.7%)

regimes182.0ms (0.8%)

regimes176.0ms (0.8%)

regimes206.0ms (0.9%)

regimes132.0ms (0.6%)

regimes139.0ms (0.6%)

regimes110.0ms (0.5%)

regimes53.0ms (0.2%)

regimes49.0ms (0.2%)

regimes47.0ms (0.2%)

regimes31.0ms (0.1%)

regimes35.0ms (0.2%)

simplify27.0ms (0.1%)

soundness1.8s (8.2%)

preprocess446.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	123	358
1	179	358
2	201	358
3	245	358
4	292	358
5	334	357
6	370	357
7	386	357
8	399	357
9	405	357
10	408	357
11	409	357