Metrics for HairBSDF, Mp, upper

analyze761.0ms (3.7%)

Memory

20.8MiB live, 1 013.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.8s (13.4%)

Memory

-171.9MiB live, 3 993.5MiB allocated

Samples

2.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sinh: 355.0ms (20.6% of total)

ival-mult: 331.0ms (19.2% of total)

ival-div: 289.0ms (16.7% of total)

ival-<=: 251.0ms (14.5% of total)

const: 236.0ms (13.7% of total)

ival-neg: 79.0ms (4.6% of total)

ival-exp: 76.0ms (4.4% of total)

ival-and: 54.0ms (3.1% of total)

ival-<: 35.0ms (2% of total)

exact: 17.0ms (1% of total)

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

Bogosity

preprocess247.0ms (1.2%)

Memory

1.3MiB live, 448.4MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain196.0ms (0.9%)

Memory

13.4MiB live, 329.7MiB 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))`
1	(1.2445278802777174e-29 4.740228209954012e-9 -1.32039888147053e-17 3.2568387167046204e-29 0.11791220307350159)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
5	(1.7969980799565598e-31 2.5605412125177026e-15 -2.567430978510669e-15 8.078093997002282e-21 0.3624100089073181)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	5	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	89
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	1	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	82

Confusion

	Predicted +	Predicted -
+	0	0
-	6	250

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	6	0	250

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

65.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.4% of total)

ival-div: 14.0ms (32.4% of total)

ival-sinh: 5.0ms (11.6% of total)

ival-exp: 4.0ms (9.3% of total)

ival-neg: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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)

simplify198.0ms (0.9%)

Memory

0.4MiB live, 357.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize68.0ms (0.3%)

Memory

-1.6MiB live, 80.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

32.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.4% of total)

ival-div: 6.0ms (30.4% of total)

ival-exp: 2.0ms (10.1% of total)

ival-sinh: 2.0ms (10.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.3%)

Memory

-20.5MiB live, 92.5MiB allocated

Counts

8 → 288

Calls

Call 1

Inputs
#<alt (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))>
#<alt (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v))>
#<alt (exp (neg (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (neg (/ (* sinTheta_i sinTheta_O) v))>
#<alt (sinh (/ 1 v))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (* (* (sinh (/ 1 v)) 2) 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 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 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))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<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

72 calls:

Time	Variable		Point	Expression
13.0ms	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	cosTheta_O	@	0	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
4.0ms	sinTheta_i	@	inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
3.0ms	sinTheta_O	@	-inf	(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))

rewrite233.0ms (1.1%)

Memory

12.0MiB live, 475.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 806

Calls

Call 1

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

simplify579.0ms (2.8%)

Memory

-22.7MiB live, 651.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

eval160.0ms (0.8%)

Memory: 8.3MiB live, 156.2MiB allocated
Compiler: Compiled 27 265 to 2 904 computations (89.3% saved)

prune235.0ms (1.1%)

Memory

12.2MiB live, 231.7MiB allocated

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	1 053	41	1 094
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 054	41	1 095

Accuracy

99.7%

Counts

1 095 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.8%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
	98.6%	(/.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 v cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	92.9%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.7%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	98.2%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
	97.8%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	98.4%	(/.f32 (.f32 (.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O)) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	60.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	93.5%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.6%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.6%	(/.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)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))))
	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	60.1%	(/.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)
▶	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	58.8%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	91.1%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	96.3%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.1%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 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 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
	97.9%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 cosTheta_O v)) v))
	98.5%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	98.0%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
▶	98.6%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	98.6%	(.f32 cosTheta_i (.f32 (/.f32 cosTheta_O (.f32 v v)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
▶	89.3%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 2 384 to 1 624 computations (31.9% saved)

simplify277.0ms (1.3%)

Memory

4.3MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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)))
✓	cost-diff	64	(+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓	cost-diff	96	(.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32))
✓	cost-diff	3136	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
✓	cost-diff	0	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)))
✓	cost-diff	64	(.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	cost-diff	192	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	0	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)
✓	cost-diff	64	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
✓	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	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	256	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	352	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))

Rules

6 324×	`-lowering-.f32`
6 324×	`-lowering-.f64`
3 400×	`/-lowering-/.f32`
3 400×	`/-lowering-/.f64`
2 804×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	452
1	121	441
2	448	436
3	2131	434
4	3587	434
5	5047	434
6	7948	434
0	8009	432

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize654.0ms (3.1%)

Memory

-11.7MiB live, 183.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	94.6%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))
✓	accuracy	50.0%	(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)))
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v)))
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.9%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.8%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.3%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.1%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

338.0ms

256×

valid

Compiler

Compiled 450 to 44 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-mult: 285.0ms (90.6% of total)

ival-div: 17.0ms (5.4% of total)

ival-exp: 5.0ms (1.6% of total)

ival-log: 3.0ms (1% of total)

ival-sinh: 2.0ms (0.6% of total)

ival-add: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

series1.7s (8.4%)

Memory

-7.3MiB live, 266.5MiB allocated

Counts

22 → 876

Calls

Call 1

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

Outputs
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
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#<alt v>
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#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt cosTheta_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 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_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) (* (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))))))>
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#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
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#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))>
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#<alt (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (- (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (+ (/ 1/6 (pow v 2)) (/ (* sinTheta_O sinTheta_i) v)))) (* 1/180 (/ 1 (pow v 4))))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) (* 1/6 (/ 1 v))) v))))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (- 1/6 (* 1/180 (/ 1 (pow v 2)))) v))) v))))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_i (+ (/ sinTheta_O v) (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_i)))>
#<alt (* sinTheta_i (+ (/ sinTheta_O v) (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_i)))>
#<alt (* sinTheta_i (+ (/ sinTheta_O v) (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_i)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_i)))))>
#<alt (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O (+ (/ sinTheta_i v) (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_O)))>
#<alt (* sinTheta_O (+ (/ sinTheta_i v) (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_O)))>
#<alt (* sinTheta_O (+ (/ sinTheta_i v) (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_O)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))) sinTheta_O)))))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* 2 (log v)))>
#<alt (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))>
#<alt (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (- (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (* 1/6 (/ 1 (pow v 2))))) (/ 1/180 (pow v 4)))>
#<alt (- (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ 1 v))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))) (/ 1/180 (pow v 4)))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))>
#<alt (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (* 1/6 (/ 1 (pow v 2)))))>
#<alt (- (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (* 1/6 (/ 1 (pow v 2))))) (/ 1/180 (pow v 4)))>
#<alt (- (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))) (/ 1/180 (pow v 4)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (* -1 (log cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_i)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (log (/ -1 cosTheta_i)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (* -1 (log cosTheta_O)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (/ 1 cosTheta_O)) (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (log (/ -1 cosTheta_O)))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) v)>
#<alt (* 1/2 (/ cosTheta_O v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>

Calls

219 calls:

Time	Variable		Point	Expression
461.0ms	cosTheta_i	@	0	(exp (* (+ (log (/ (* (sinh (/ 1 v)) (* (* v 2) v)) (* cosTheta_i cosTheta_O))) (/ (* sinTheta_i sinTheta_O) v)) -1))
265.0ms	v	@	0	(log (/ (* (sinh (/ 1 v)) (* (* v 2) v)) (* cosTheta_i cosTheta_O)))
230.0ms	sinTheta_i	@	0	(* (+ (log (/ (* (sinh (/ 1 v)) (* (* v 2) v)) (* cosTheta_i cosTheta_O))) (/ (* sinTheta_i sinTheta_O) v)) -1)
203.0ms	cosTheta_O	@	0	(* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (sinh (/ 1 v))) (* (* (/ (* cosTheta_i cosTheta_O) v) 1/2) (/ 1 v)))
184.0ms	cosTheta_O	@	inf	(exp (* (+ (log (/ (* (sinh (/ 1 v)) (* (* v 2) v)) (* cosTheta_i cosTheta_O))) (/ (* sinTheta_i sinTheta_O) v)) -1))

rewrite2.8s (13.6%)

Memory

25.7MiB live, 735.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 970×	`-lowering-.f32`
4 970×	`-lowering-.f64`
4 704×	`/-lowering-/.f32`
4 704×	`/-lowering-/.f64`
3 062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	272
1	195	271
2	1443	263
0	8941	262

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 755

Calls

Call 1

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

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

simplify557.0ms (2.7%)

Memory

9.9MiB live, 1 249.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 656×	`accelerator-lowering-fma.f32`
10 656×	`accelerator-lowering-fma.f64`
7 306×	`-lowering-.f32`
7 306×	`-lowering-.f64`
4 034×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	872	17349
1	2716	16569
0	8429	16280

Stop Event

1×	iter limit
1×	node limit

Counts

876 → 876

Calls

Call 1

Inputs
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_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))
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v
(* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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v
(* -1 (* v (- (/ (* sinTheta_O sinTheta_i) v) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ 1/6 (+ (* -1 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v)) 1)))
1
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(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
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(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(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)))
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1
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (* cosTheta_O cosTheta_i))
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(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
cosTheta_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 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -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) (* (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_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_i v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_i v))
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(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ cosTheta_i v)
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_i v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_i v))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
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(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
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(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
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(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) v)
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(/ (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) 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))))) v)
(/ (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) v)
(/ cosTheta_i v)
(* -1 (/ (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_i) (* -1 (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
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(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
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(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/ 1 v)
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(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
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(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ 1 v)
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(exp (* -1 (+ (log (* 2 (/ (* (pow v 2) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)))) (/ (* sinTheta_O sinTheta_i) v))))
(exp (* -1 (+ (log (* 2 (/ (* (pow v 2) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)))) (/ (* sinTheta_O sinTheta_i) v))))
(exp (* -1 (+ (log (* 2 (/ (* (pow v 2) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)))) (/ (* sinTheta_O sinTheta_i) v))))
(exp (* -1 (+ (log (* 2 (/ (* (pow v 2) (sinh (/ 1 v))) (* cosTheta_O cosTheta_i)))) (/ (* sinTheta_O sinTheta_i) v))))
(exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v))))))
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(+ (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))))) v)) (/ (* (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))) (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))))
(+ (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))))) v)) (+ (/ (* (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/6 (* sinTheta_O sinTheta_i)))) (pow v 3)) (/ (* (exp (* -1 (+ (log (/ 2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ 1 v)))))) (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))))
(exp (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v))))))
(+ (exp (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v)))))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (* -1 (log (/ -1 v)))))))) v)))
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(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (+ (* -1 (log cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_i)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_O))) (+ (log (/ -1 cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (+ (* -1 (log cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (/ 1 cosTheta_O)) (+ (log (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_i) v)))))
(exp (* -1 (+ (log (* -1 (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (+ (log (/ -1 cosTheta_O)) (/ (* sinTheta_O sinTheta_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)))))))
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(- (+ (log (/ -2 (* cosTheta_O cosTheta_i))) (+ (* -1 (log (/ -1 v))) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/2835 (/ 1 (pow v 6)))))) (/ 1/180 (pow v 4)))
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(/ 1 v)
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2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
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2
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Outputs
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_i)
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 v v)) (*.f32 cosTheta_i (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_i)
(+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))
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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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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))))
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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_i)
(+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
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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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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_i)
(+ 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)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_i))
(+ 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))))))
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cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) 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)))
(-.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) v)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
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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))))
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(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
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(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_O) (*.f32 v v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.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))) (/.f32 (.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 (/.f32 cosTheta_O (.f32 v v)) #s(literal 1/12 binary32) (.f32 cosTheta_O #s(literal -1/2 binary32)))) (neg.f32 v))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))

eval366.0ms (1.8%)

Memory: 17.7MiB live, 718.3MiB allocated
Compiler: Compiled 84 370 to 5 077 computations (94% saved)

prune362.0ms (1.7%)

Memory

-11.9MiB live, 958.3MiB allocated

Pruning

71 alts after pruning (70 fresh and 1 done)

	Pruned	Kept	Total
New	3 032	51	3 083
Fresh	17	19	36
Picked	4	1	5
Done	0	0	0
Total	3 053	71	3 124

Accuracy

99.9%

Counts

3 124 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.2%	(pow.f32 (pow.f32 (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	89.0%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i cosTheta_O)))))
	58.8%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
	58.8%	(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
	58.8%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
▶	98.7%	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.7%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_i) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))) (.f32 v (*.f32 v #s(literal 2 binary32))))
	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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
▶	97.8%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	60.1%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	60.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))) 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 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	60.0%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	60.1%	(/.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)
	98.6%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 cosTheta_O (.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.9%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	58.8%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	98.7%	(/.f32 (neg.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
	91.1%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
	60.3%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.6%	(.f32 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	60.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v #s(literal 2 binary32)))) v)
	98.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	60.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	93.0%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))))
	60.1%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 (.f32 v (*.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	95.0%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) v)))
	98.7%	(.f32 (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.6%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32))))
	98.6%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	60.0%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
	98.8%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	60.8%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
	60.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	60.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
	60.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	58.8%	(.f32 (+.f32 v (.f32 v (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32)) (.f32 v v))))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.0%	(.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
	98.4%	(.f32 (.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1 binary32) v))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 (/.f32 cosTheta_O (.f32 v (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.5%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) cosTheta_O)) #s(literal -1/2 binary32))))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v)))
	96.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_O))) #s(literal -1 binary32))))
	98.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
▶	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.5%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	60.1%	(.f32 v (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
▶	60.0%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
	98.7%	(neg.f32 (.f32 (.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 cosTheta_O v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	94.6%	(exp.f32 (fma.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))))

Compiler

Compiled 3 762 to 2 519 computations (33% saved)

simplify236.0ms (1.1%)

Memory

2.1MiB live, 438.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))
✓	cost-diff	0	(.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32))))
✓	cost-diff	384	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
✓	cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	192	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
✓	cost-diff	64	(neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v)))
✓	cost-diff	128	(/.f32 (neg.f32 (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))) (neg.f32 v))
✓	cost-diff	352	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	512	(fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))
✓	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	0	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
✓	cost-diff	0	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)))
✓	cost-diff	64	(.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	cost-diff	128	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Rules

5 934×	`-lowering-.f32`
5 934×	`-lowering-.f64`
3 840×	`accelerator-lowering-fma.f32`
3 840×	`accelerator-lowering-fma.f64`
2 510×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	525
1	177	505
2	683	493
3	3703	486
0	8529	473

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize199.0ms (1%)

Memory

-17.5MiB live, 426.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
✓	accuracy	99.2%	(/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32))))
✓	accuracy	99.1%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	98.7%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.0%	(/.f32 (neg.f32 (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))) (neg.f32 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)) v)
✓	accuracy	98.8%	(fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))
✓	accuracy	100.0%	(*.f32 cosTheta_i #s(literal 1/2 binary32))
✓	accuracy	100.0%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
✓	accuracy	99.6%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
✓	accuracy	99.1%	(.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.0%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

111.0ms

256×

valid

Compiler

Compiled 511 to 61 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 36.0ms (42.2% of total)

ival-div: 29.0ms (34% of total)

ival-exp: 6.0ms (7% of total)

ival-add: 4.0ms (4.7% of total)

const: 4.0ms (4.7% of total)

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

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

exact: 1.0ms (1.2% of total)

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

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

series133.0ms (0.6%)

Memory

10.0MiB live, 242.2MiB allocated

Counts

23 → 840

Calls

Call 1

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

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

Calls

210 calls:

Time	Variable		Point	Expression
58.0ms	sinTheta_O	@	-inf	(/ (* cosTheta_i (exp (* sinTheta_i (/ sinTheta_O (neg v))))) (* v (* v 2)))
4.0ms	v	@	inf	(/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_i cosTheta_O)) (* v (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))
2.0ms	v	@	-inf	(* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_i cosTheta_O))
2.0ms	sinTheta_O	@	-inf	(/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_i cosTheta_O)) (* v (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))
2.0ms	sinTheta_i	@	-inf	(/ (* (/ 1/2 (sinh (/ 1 v))) (* cosTheta_i cosTheta_O)) (* v (* v (exp (/ (* sinTheta_i sinTheta_O) v)))))

rewrite368.0ms (1.8%)

Memory

22.1MiB live, 722.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 476×	`/-lowering-/.f32`
6 476×	`/-lowering-/.f64`
3 688×	`-lowering-.f32`
3 688×	`-lowering-.f64`
3 146×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	283
1	313	260
2	2476	254
0	8843	247

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1 440

Calls

Call 1

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

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

simplify481.0ms (2.3%)

Memory

23.9MiB live, 932.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 692×	`accelerator-lowering-fma.f32`
9 692×	`accelerator-lowering-fma.f64`
7 672×	`-lowering-.f32`
7 672×	`-lowering-.f64`
4 830×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	968	14426
1	3128	14005
0	8194	13730

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

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

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

eval470.0ms (2.3%)

Memory: -82.6MiB live, 538.2MiB allocated
Compiler: Compiled 69 305 to 4 898 computations (92.9% saved)

prune393.0ms (1.9%)

Memory

-20.7MiB live, 777.9MiB allocated

Pruning

86 alts after pruning (84 fresh and 2 done)

	Pruned	Kept	Total
New	2 301	37	2 338
Fresh	18	47	65
Picked	4	1	5
Done	0	1	1
Total	2 323	86	2 409

Accuracy

99.9%

Counts

2 409 → 86

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.2%	(pow.f32 (pow.f32 (.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	89.0%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i cosTheta_O)))))
	58.8%	(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (.f32 cosTheta_i (fma.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) sinTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) v)) (neg.f32 v))) (neg.f32 v))
	58.8%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
	58.8%	(/.f32 (fma.f32 cosTheta_O (.f32 #s(literal -1/2 binary32) cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
	58.8%	(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) #s(literal -1/2 binary32)))) v)
	98.7%	(/.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_O)))))
	97.0%	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v #s(literal 2 binary32))))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 v v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	98.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
▶	98.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.5%	(/.f32 (.f32 (/.f32 cosTheta_O (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_i) (.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 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	60.1%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
	98.9%	(/.f32 (.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)) cosTheta_i) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	60.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	97.6%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1 binary32))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	98.4%	(/.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))
	60.0%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	60.1%	(/.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)
▶	98.9%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.5%	(/.f32 (.f32 cosTheta_O (.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (fma.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
	58.8%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	98.7%	(/.f32 (neg.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
	95.5%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	91.1%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.5%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
	93.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
	60.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
	60.3%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.6%	(.f32 (fma.f32 (.f32 cosTheta_i (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	93.2%	(.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 v #s(literal 2 binary32))))
	58.8%	(.f32 (/.f32 (fma.f32 (neg.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/6 binary32)) v)) v)) (/.f32 #s(literal 1 binary32) v) v) (.f32 v (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	58.8%	(.f32 (/.f32 (fma.f32 (neg.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/6 binary32)) v)) v)) #s(literal 1 binary32) (.f32 v v)) v) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	58.8%	(.f32 (/.f32 (fma.f32 v (/.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/6 binary32)) v)) v) (neg.f32 v)) (.f32 v (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v))
	58.8%	(.f32 (/.f32 (+.f32 (fma.f32 v (fma.f32 sinTheta_O (neg.f32 sinTheta_i) v) #s(literal -1/6 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) v) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	60.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v #s(literal 2 binary32)))) v)
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
	60.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	93.0%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))))
	60.1%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 (.f32 v (*.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 v (*.f32 v #s(literal 2 binary32)))))
	95.0%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) v)))
	98.8%	(.f32 (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
▶	98.9%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.0%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i #s(literal 1/2 binary32)))
	98.8%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	60.8%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
	60.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	60.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
	60.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	58.8%	(.f32 (+.f32 v (/.f32 #s(literal -1/6 binary32) v)) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	34.6%	(.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (+.f32 v (/.f32 #s(literal -1/6 binary32) v)) sinTheta_i) sinTheta_O)) (neg.f32 sinTheta_i)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) v)))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	54.5%	(.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 sinTheta_i sinTheta_i) v)) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.5%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) cosTheta_O)) #s(literal -1/2 binary32))))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v)))
	96.7%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (*.f32 v #s(literal 2 binary32))) cosTheta_O))) #s(literal -1 binary32))))
	98.5%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v)))))
	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))) (/.f32 (.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)))
	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (*.f32 v v)))
	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)))))
	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))) (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) v))))
	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (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))) (neg.f32 v)) v (neg.f32 v))) (.f32 cosTheta_i (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1/2 binary32) v))))
▶	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)) v (neg.f32 v))) (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	58.8%	(.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (.f32 v v)) v (neg.f32 v))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	58.8%	(.f32 (neg.f32 (/.f32 (fma.f32 (.f32 (fma.f32 sinTheta_i sinTheta_O (/.f32 (fma.f32 sinTheta_O (.f32 sinTheta_O (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal 1/6 binary32)) v)) v) (+.f32 #s(literal 0 binary32) v) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 v v)))) (.f32 v (+.f32 #s(literal 0 binary32) v)))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.5%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	60.1%	(.f32 v (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	60.0%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
✓	60.0%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
▶	60.0%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
	94.6%	(exp.f32 (fma.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O (log.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32))))))))

Compiler

Compiled 4 804 to 3 176 computations (33.9% saved)

simplify215.0ms (1%)

Memory

25.4MiB live, 458.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	192	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	cost-diff	192	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	0	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	192	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	64	(neg.f32 (fma.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)) v (neg.f32 v)))
✓	cost-diff	128	(/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v))
✓	cost-diff	352	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	512	(fma.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)) v (neg.f32 v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	cost-diff	0	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	cost-diff	192	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Rules

5 116×	`-lowering-.f32`
5 116×	`-lowering-.f64`
4 818×	`accelerator-lowering-fma.f32`
4 818×	`accelerator-lowering-fma.f64`
2 374×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	346
1	139	323
2	538	311
3	2943	311
0	8061	306

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize197.0ms (0.9%)

Memory

-30.3MiB live, 260.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.0%	(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
✓	accuracy	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	99.2%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.0%	(/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) v)
✓	accuracy	98.8%	(fma.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 #s(literal 1/6 binary32) v))) (neg.f32 v)) v (neg.f32 v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.6%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
✓	accuracy	99.2%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i)
✓	accuracy	99.6%	(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓	accuracy	99.6%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.0%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.2%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

118.0ms

256×

valid

Compiler

Compiled 338 to 48 computations (85.8% saved)

Precisions

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

ival-mult: 22.0ms (30.6% of total)

ival-div: 21.0ms (29.3% of total)

ival-add: 15.0ms (20.9% of total)

const: 4.0ms (5.6% of total)

ival-neg: 4.0ms (5.6% of total)

ival-sinh: 3.0ms (4.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.2%)

Memory

2.1MiB live, 80.4MiB allocated

Counts

22 → 660

Calls

Call 1

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

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

Calls

165 calls:

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

rewrite321.0ms (1.5%)

Memory

11.5MiB live, 523.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 138×	`/-lowering-/.f32`
5 138×	`/-lowering-/.f64`
3 458×	`-lowering-.f32`
3 458×	`-lowering-.f64`
2 796×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	204
1	242	189
2	2021	181
0	8810	178

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 210

Calls

Call 1

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

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

simplify450.0ms (2.2%)

Memory

-10.0MiB live, 665.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 968×	`accelerator-lowering-fma.f32`
7 968×	`accelerator-lowering-fma.f64`
7 112×	`-lowering-.f32`
7 112×	`-lowering-.f64`
2 374×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	8460
1	1893	8130
2	6631	8115
0	8176	7980

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval201.0ms (1%)

Memory: 51.1MiB live, 395.5MiB allocated
Compiler: Compiled 45 588 to 3 936 computations (91.4% saved)

prune371.0ms (1.8%)

Memory

-55.9MiB live, 852.4MiB allocated

Pruning

78 alts after pruning (75 fresh and 3 done)

	Pruned	Kept	Total
New	1 948	43	1 991
Fresh	47	32	79
Picked	4	1	5
Done	0	2	2
Total	1 999	78	2 077

Accuracy

99.9%

Counts

2 077 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.0%	(pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 sinTheta_i (/.f32 sinTheta_O v) (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i cosTheta_O)))))
	58.8%	(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 cosTheta_i (.f32 v v)) #s(literal -1/12 binary32)) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
	98.7%	(/.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (.f32 v (*.f32 v #s(literal 2 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta_O)))))
	97.0%	(/.f32 (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v (.f32 v #s(literal 2 binary32)))) (exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 v v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) v)
	98.8%	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	65.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	71.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)) v))
	65.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))))
	98.6%	(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	92.9%	(/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v (*.f32 cosTheta_O cosTheta_i))))
	98.5%	(/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.1%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	60.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	97.6%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1 binary32))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	98.4%	(/.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))
	98.9%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.7%	(/.f32 (.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	60.0%	(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 v cosTheta_O))
	71.4%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	65.6%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.9%	(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	65.6%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.5%	(/.f32 (.f32 cosTheta_O (.f32 (/.f32 (neg.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))))) (neg.f32 (.f32 v (.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.7%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.6%	(/.f32 (.f32 cosTheta_O (neg.f32 cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (neg.f32 v)))
	95.5%	(/.f32 (.f32 cosTheta_O (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32)))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
	98.5%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)))
	91.1%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	95.5%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i))) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
	98.4%	(/.f32 cosTheta_O (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 v cosTheta_i)))
	60.5%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i #s(literal 1/2 binary32))) cosTheta_O))
	93.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
	60.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O)))
	60.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
	93.2%	(/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))))
	60.3%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.6%	(.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	60.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (.f32 v #s(literal 2 binary32)))) v)
	60.1%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	93.0%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 (.f32 cosTheta_i (exp.f32 (.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v))))) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))))) (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32))))
	60.1%	(.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 (.f32 v (*.f32 v v)))) (fma.f32 v v #s(literal 0 binary32)))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))
	98.1%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 v #s(literal 2 binary32)) v)))
	98.8%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 cosTheta_O v)) (/.f32 #s(literal -1 binary32) v)))
	98.6%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))) cosTheta_O)
	98.5%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
	98.8%	(.f32 (/.f32 cosTheta_i v) (/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) v) cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.7%	(.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.8%	(.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v))) v) cosTheta_O))))
	98.9%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	60.0%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
	98.8%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (.f32 cosTheta_O cosTheta_i) v)))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 v #s(literal 2 binary32)))))
	60.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	60.0%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
	60.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.5%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) cosTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 v (.f32 v #s(literal 2 binary32))) cosTheta_O)) #s(literal -1/2 binary32))))
	98.8%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v)))
	54.5%	(.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.5%	(.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v)))))
	98.5%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32))) (.f32 (.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	60.1%	(.f32 v (.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
	98.6%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	60.0%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
✓	60.0%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v))
✓	60.0%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i))
	89.3%	(exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (/.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))))) #s(literal -1 binary32)))

Compiler

Compiled 5 469 to 1 889 computations (65.5% saved)

regimes411.0ms (2%)

Memory

50.8MiB live, 589.2MiB allocated

Counts

173 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

71.0ms	(/.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))
55.0ms	cosTheta_i
52.0ms	sinTheta_i
47.0ms	v
47.0ms	sinTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes387.0ms (1.9%)

Memory

-26.3MiB live, 606.4MiB allocated

Counts

141 → 1

Calls

Call 1

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

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

Calls

8 calls:

54.0ms	v
54.0ms	(/.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))
45.0ms	sinTheta_i
43.0ms	sinTheta_O
41.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes226.0ms (1.1%)

Memory

31.7MiB live, 422.5MiB allocated

Counts

72 → 1

Calls

Call 1

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

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

Calls

8 calls:

78.0ms	(*.f32 sinTheta_i sinTheta_O)
24.0ms	cosTheta_i
23.0ms	v
21.0ms	sinTheta_i
20.0ms	sinTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes186.0ms (0.9%)

Memory

-19.1MiB live, 300.7MiB allocated

Counts

71 → 1

Calls

Call 1

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

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

Calls

8 calls:

37.0ms	cosTheta_i
27.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	sinTheta_i
21.0ms	sinTheta_O
20.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes173.0ms (0.8%)

Memory

20.9MiB live, 174.1MiB allocated

Counts

59 → 1

Calls

Call 1

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

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

Calls

8 calls:

41.0ms	cosTheta_i
32.0ms	cosTheta_O
20.0ms	sinTheta_O
16.0ms	(/.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))
16.0ms	v

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes150.0ms (0.7%)

Memory

22.2MiB live, 260.8MiB allocated

Counts

53 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

44.0ms	sinTheta_i
16.0ms	sinTheta_O
15.0ms	v
15.0ms	cosTheta_O
15.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes122.0ms (0.6%)

Memory

-44.1MiB live, 186.7MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

26.0ms	(*.f32 sinTheta_i sinTheta_O)
13.0ms	cosTheta_i
12.0ms	sinTheta_i
11.0ms	v
11.0ms	sinTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes79.0ms (0.4%)

Memory

-4.2MiB live, 192.7MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
65.6%	1	`cosTheta_i`
65.6%	1	`cosTheta_O`
65.6%	1	`(*.f32 sinTheta_i sinTheta_O)`
65.6%	1	`sinTheta_i`
65.6%	1	`sinTheta_O`
65.6%	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))`
65.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
65.6%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes57.0ms (0.3%)

Memory

15.8MiB live, 133.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

8 calls:

9.0ms	cosTheta_i
8.0ms	cosTheta_O
8.0ms	sinTheta_O
6.0ms	sinTheta_i
6.0ms	v

Results

Accuracy	Segments	Branch
60.8%	1	`sinTheta_i`
60.8%	1	`sinTheta_O`
60.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.8%	1	`cosTheta_i`
60.8%	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))`
60.8%	1	`cosTheta_O`
60.8%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes50.0ms (0.2%)

Memory

0.9MiB live, 121.9MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
60.5%	1	`v`
60.5%	1	`sinTheta_i`
60.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.5%	1	`sinTheta_O`
60.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.5%	1	`cosTheta_i`
60.5%	1	`cosTheta_O`
60.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes44.0ms (0.2%)

Memory

2.1MiB live, 80.6MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	cosTheta_i
6.0ms	(*.f32 sinTheta_i sinTheta_O)
5.0ms	sinTheta_i
5.0ms	sinTheta_O
5.0ms	v

Results

Accuracy	Segments	Branch
60.5%	1	`v`
60.5%	1	`sinTheta_O`
60.5%	1	`sinTheta_i`
60.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.5%	1	`cosTheta_O`
60.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.5%	1	`cosTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes68.0ms (0.3%)

Memory

-27.0MiB live, 61.7MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

8 calls:

24.0ms	sinTheta_O
13.0ms	cosTheta_O
5.0ms	cosTheta_i
5.0ms	sinTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
60.5%	1	`v`
60.5%	1	`sinTheta_O`
60.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.5%	1	`sinTheta_i`
60.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
60.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.5%	1	`cosTheta_i`
60.5%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes40.0ms (0.2%)

Memory

1.2MiB live, 76.6MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	cosTheta_i
5.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
5.0ms	sinTheta_i
5.0ms	sinTheta_O
5.0ms	v

Results

Accuracy	Segments	Branch
60.3%	1	`v`
60.3%	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))`
60.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
60.3%	1	`sinTheta_O`
60.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
60.3%	1	`cosTheta_i`
60.3%	1	`cosTheta_O`
60.3%	1	`sinTheta_i`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes32.0ms (0.2%)

Memory

27.6MiB live, 65.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

8 calls:

5.0ms	cosTheta_i
4.0ms	sinTheta_i
4.0ms	sinTheta_O
4.0ms	v
4.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes36.0ms (0.2%)

Memory

-11.2MiB live, 30.0MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

17.0ms	(*.f32 sinTheta_i sinTheta_O)
3.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	cosTheta_i
3.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes34.0ms (0.2%)

Memory

-3.1MiB live, 36.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

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))
2.0ms	sinTheta_O
2.0ms	sinTheta_i
2.0ms	v
2.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes13.0ms (0.1%)

Memory

-4.3MiB live, 34.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes38.0ms (0.2%)

Memory

-10.6MiB live, 28.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify89.0ms (0.4%)

Memory

19.5MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Rules

806×	`distribute-lft-neg-in_binary32`
464×	`neg-mul-1_binary32`
450×	`unsub-neg_binary32`
380×	`neg-sub0_binary32`
278×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	227
1	127	227
2	148	227
3	198	225
4	261	225
5	334	225
6	421	225
7	586	225
8	898	225
9	1321	225
10	1758	225
11	2118	225
12	2323	225
13	2410	225
14	2428	225
15	2430	225
16	2430	225
17	2430	225

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.6s (7.6%)

Memory

13.6MiB live, 1 537.8MiB allocated

Rules

10 656×	`accelerator-lowering-fma.f32`
10 656×	`accelerator-lowering-fma.f64`
10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
9 692×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	968	14426
1	3128	14005
0	8194	13730
0	589	8460
1	1893	8130
2	6631	8115
0	8176	7980
0	58	283
1	313	260
2	2476	254
0	8843	247
0	42	272
1	195	271
2	1443	263
0	8941	262
0	334	4121
1	1040	4000
2	3827	3767
3	7003	3766
0	8049	3724
0	872	17349
1	2716	16569
0	8429	16280
0	19	70
1	77	68
2	516	68
3	6807	68
0	8047	68
0	45	204
1	242	189
2	2021	181
0	8810	178

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 1 035 to 664 computations (35.8% saved)

preprocess599.0ms (2.9%)

Memory

23.5MiB live, 748.2MiB allocated

Remove

(negabs cosTheta_O)

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 3 704 to 2 292 computations (38.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze761.0ms (3.7%)

sample2.8s (13.4%)

preprocess247.0ms (1.2%)

explain196.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify198.0ms (0.9%)

localize68.0ms (0.3%)

series62.0ms (0.3%)

rewrite233.0ms (1.1%)

simplify579.0ms (2.8%)

eval160.0ms (0.8%)

prune235.0ms (1.1%)

simplify277.0ms (1.3%)

localize654.0ms (3.1%)

series1.7s (8.4%)

rewrite2.8s (13.6%)

simplify557.0ms (2.7%)

eval366.0ms (1.8%)

prune362.0ms (1.7%)

simplify236.0ms (1.1%)

localize199.0ms (1%)

series133.0ms (0.6%)

rewrite368.0ms (1.8%)

simplify481.0ms (2.3%)

eval470.0ms (2.3%)

prune393.0ms (1.9%)

simplify215.0ms (1%)

localize197.0ms (0.9%)

series48.0ms (0.2%)

rewrite321.0ms (1.5%)

simplify450.0ms (2.2%)

eval201.0ms (1%)

prune371.0ms (1.8%)

regimes411.0ms (2%)

regimes387.0ms (1.9%)

regimes226.0ms (1.1%)

regimes186.0ms (0.9%)

regimes173.0ms (0.8%)

regimes150.0ms (0.7%)

regimes122.0ms (0.6%)

regimes79.0ms (0.4%)

regimes57.0ms (0.3%)

regimes50.0ms (0.2%)

regimes44.0ms (0.2%)

regimes68.0ms (0.3%)

regimes40.0ms (0.2%)

regimes32.0ms (0.2%)

regimes36.0ms (0.2%)

regimes34.0ms (0.2%)

regimes13.0ms (0.1%)

regimes38.0ms (0.2%)

simplify89.0ms (0.4%)

soundness1.6s (7.6%)

preprocess599.0ms (2.9%)

end0.0ms (0%)

Profiling