Metrics for HairBSDF, Mp, upper

analyze998.0ms (5%)

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 66 to 41 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 648.0ms

ival-<=: 190.0ms (29.3% of total)

ival-mult: 122.0ms (18.8% of total)

ival-div: 116.0ms (17.9% of total)

...c/correct-round.rkt:119:19: 98.0ms (15.1% of total)

ival-sinh: 32.0ms (4.9% of total)

ival-exp: 30.0ms (4.6% of total)

ival-and: 25.0ms (3.9% of total)

ival-neg: 15.0ms (2.3% of total)

ival-<: 13.0ms (2% of total)

const: 5.0ms (0.8% of total)

backward-pass: 2.0ms (0.3% of total)

sample3.0s (15.1%)

Results

2.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 350.0ms (21.5% of total)

ival-<=: 340.0ms (20.9% of total)

...c/correct-round.rkt:119:19: 318.0ms (19.5% of total)

ival-div: 269.0ms (16.5% of total)

ival-sinh: 109.0ms (6.7% of total)

ival-and: 72.0ms (4.4% of total)

ival-exp: 70.0ms (4.3% of total)

ival-neg: 45.0ms (2.8% of total)

ival-<: 36.0ms (2.2% of total)

const: 16.0ms (1% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess535.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

5528×	`-lowering-.f32`
5528×	`-lowering-.f64`
1920×	`/-lowering-/.f32`
1920×	`/-lowering-/.f64`
1420×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	458
1	545	440
2	2099	422
0	19	21
1	56	21
2	187	20
3	774	20
4	3087	20
5	3833	20
6	5919	20
0	9140	20

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain154.0ms (0.8%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
3	(1.2801986546118241e-36 1.0367548486378553e-10 4.192681417935784e-37 1.7647943367444168e-16 0.1657407283782959)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
0	-	-	`cosTheta_O`
4	(1.449121401375963e-27 3.4664606231471446e-20 2.5593930994442317e-28 1.744961490418376e-18 0.1667090207338333)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
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 (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 sinTheta_i sinTheta_O)`
0	-	-	`sinTheta_O`
0	-	-	`cosTheta_i`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`v`
0	-	-	`sinTheta_i`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(/.f32 #s(literal 1 binary32) v)`

Results

95.0ms

512×

valid

Compiler

Compiled 223 to 59 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 18.0ms (39.2% of total)

ival-div: 15.0ms (32.7% of total)

ival-sinh: 6.0ms (13.1% of total)

ival-exp: 4.0ms (8.7% of total)

ival-neg: 3.0ms (6.5% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 26 to 18 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify272.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

5702×	`-lowering-.f32`
5702×	`-lowering-.f64`
1902×	`+-lowering-+.f64`
1902×	`+-lowering-+.f32`
1532×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	42	76
2	119	76
3	550	76
4	2222	76
5	3536	76
6	6375	76
0	8541	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize71.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.2%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

55.0ms

256×

valid

Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 21.0ms (63.4% of total)

ival-mult: 7.0ms (21.1% of total)

ival-exp: 2.0ms (6% of total)

ival-sinh: 2.0ms (6% of total)

const: 1.0ms (3% of total)

backward-pass: 0.0ms (0% of total)

series73.0ms (0.4%)

Counts

7 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
8.0ms	v	@	inf	(* (sinh (/ 1 v)) (* v 2))
6.0ms	sinTheta_O	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
4.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
4.0ms	sinTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
4.0ms	cosTheta_i	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite324.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4570×	`-lowering-.f32`
4570×	`-lowering-.f64`
3704×	`/-lowering-/.f32`
3704×	`/-lowering-/.f64`
1784×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	74	55
2	507	55
3	6546	55
0	8029	55

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 650

Calls

Call 1

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

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

simplify316.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

4980×	`-lowering-.f32`
4980×	`-lowering-.f64`
1590×	`+-lowering-+.f64`
1590×	`+-lowering-+.f32`
1388×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	3682
1	1260	3538
2	5579	3523
0	8085	3523

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval91.0ms (0.5%)

Compiler: Compiled 22004 to 2125 computations (90.3% saved)

prune217.0ms (1.1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	860	30	890
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	861	30	891

Accuracy

99.9%

Counts

891 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.8%	(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) v)
	97.6%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_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 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
	64.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
▶	71.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	98.9%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	98.5%	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	95.1%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
▶	94.3%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	98.9%	(/.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_O #s(literal -1/2 binary32)))) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))) #s(literal 1/3 binary32))) (neg.f32 v))) v))) v) (.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.8%	(/.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (/.f32 #s(literal -1/2 binary32) v))) v)) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	90.7%	(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	58.0%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (+.f32 (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
	59.1%	(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v))) (neg.f32 v))
	57.9%	(/.f32 (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
	98.7%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
▶	59.1%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	98.4%	(.f32 (/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
	99.0%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
	99.0%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
▶	98.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.9%	(.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
	98.3%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	94.3%	(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32)))
	99.0%	(.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	99.1%	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	99.0%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	99.0%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v))))
	99.0%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))

Compiler

Compiled 1920 to 1244 computations (35.2% saved)

simplify253.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	64	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
✓	cost-diff	0	(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	32	(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))))
✓	cost-diff	64	(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v))
✓	cost-diff	192	(.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32)))
✓	cost-diff	192	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
✓	cost-diff	0	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
✓	cost-diff	0	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	cost-diff	0	(exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
✓	cost-diff	0	(/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
✓	cost-diff	0	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Rules

5498×	`-lowering-.f32`
5498×	`-lowering-.f64`
2614×	`/-lowering-/.f32`
2614×	`/-lowering-/.f64`
1544×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	429
1	131	425
2	434	423
3	2113	413
4	6177	410
0	8476	410

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize273.0ms (1.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	94.9%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.4%	(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v))
✓	accuracy	98.9%	(/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))
✓	accuracy	98.9%	(+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))
✓	accuracy	98.2%	(/.f32 #s(literal 1/120 binary32) (*.f32 v v))
✓	accuracy	100.0%	(.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))
✓	accuracy	100.0%	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	accuracy	99.2%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.0%	(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

192.0ms

256×

valid

Compiler

Compiled 451 to 53 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 41.0ms (46.7% of total)

ival-mult: 24.0ms (27.3% of total)

...c/correct-round.rkt:119:19: 7.0ms (8% of total)

ival-sinh: 5.0ms (5.7% of total)

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

ival-add: 3.0ms (3.4% of total)

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

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series114.0ms (0.6%)

Counts

25 → 792

Calls

Call 1

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

Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))>
#<alt (+ cosTheta_O (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (- (+ cosTheta_O (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))>
#<alt (- (+ cosTheta_O (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))>
#<alt (+ cosTheta_O (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))>
#<alt (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* 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))) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))>
#<alt (+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* 1/2 cosTheta_O)>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
#<alt (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1>
#<alt (- 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))>
#<alt 1>
#<alt (- 1 (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))>
#<alt (- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<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 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ 1/120 (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (+ 1/6 (* 1/120 (/ 1 (pow v 2))))>
#<alt (/ -1/120 (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (/ -1/6 (pow v 2))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ v (* cosTheta_O cosTheta_i)))>
#<alt (* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2)))))))>
#<alt (* v (+ (* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))))))>
#<alt (* 2 (/ v (* cosTheta_O cosTheta_i)))>
#<alt (* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v)))) v)) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i))) (* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i v))))) v)) (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))) v)) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))>
#<alt (* 2 (/ v (* cosTheta_O cosTheta_i)))>
#<alt (+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))))>
#<alt (+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_O (* cosTheta_i v))))))>
#<alt (+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (pow sinTheta_O 2) (* cosTheta_O (* cosTheta_i v))))))))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ v (* cosTheta_O cosTheta_i)))>
#<alt (+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))))>
#<alt (+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v))))))>
#<alt (+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (pow sinTheta_i 2) (* cosTheta_O (* cosTheta_i v))))))))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>
#<alt (* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))>

Calls

198 calls:

Time	Variable		Point	Expression
19.0ms	v	@	inf	(* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v))))
4.0ms	v	@	0	(/ (/ 1 v) (sinh (/ 1 v)))
3.0ms	v	@	inf	(/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O))))
3.0ms	v	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ (+ -1 (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))) (neg v)) (* v 2)))
3.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ (+ -1 (/ (+ 1/6 (/ 1/120 (* v v))) (neg (* v v)))) (neg v)) (* v 2)))

rewrite461.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5400×	`/-lowering-/.f32`
5400×	`/-lowering-/.f64`
4212×	`-lowering-.f32`
4212×	`-lowering-.f64`
1544×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	280
1	304	267
2	2855	262
0	8407	262

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1265

Calls

Call 1

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

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

simplify533.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

7016×	`-lowering-.f32`
7016×	`-lowering-.f64`
3696×	`+-lowering-+.f64`
3696×	`+-lowering-+.f32`
1674×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	902	15263
1	3375	14990
0	8148	14990

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

Calls

Call 1

Inputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))
(+ cosTheta_O (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(- (+ cosTheta_O (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_O (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))
(+ cosTheta_O (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))
(+ cosTheta_O (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 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))) (/ (* sinTheta_O sinTheta_i) v))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* 60 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (exp (/ (* sinTheta_O sinTheta_i) v))))
(* (pow v 3) (+ (* -1200 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 60 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))
(* (pow v 3) (+ (* 60 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -1200 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 1/2 (* (pow v 2) (+ (* -14400 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 48000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))))))))
(* (pow v 3) (+ (* 60 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* -1200 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (+ (* 1/2 (* (pow v 2) (+ (* -20 (+ (* -14400 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 48000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))) (* 288000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))) (* 1/2 (+ (* -14400 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 48000 (/ (* cosTheta_O cosTheta_i) (exp (/ (* 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))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (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 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))
(+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))) (* 1/2 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))))))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
(* -1/2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1)))))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v)) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (+ (* -1 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 2 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
1
(- 1 (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (* 1/6 (/ 1 (pow v 2))))
(- (+ 1 (/ 7/360 (pow v 4))) (+ (* 1/6 (/ 1 (pow v 2))) (* 31/15120 (/ 1 (pow v 6)))))
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 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)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ 1/120 (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
(/ (+ 1/120 (* 1/6 (pow v 2))) (pow v 2))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
1/6
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(+ 1/6 (* 1/120 (/ 1 (pow v 2))))
(/ -1/120 (pow v 4))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ (- (* -1/6 (pow v 2)) 1/120) (pow v 4))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(/ -1/6 (pow v 2))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* v (+ (* 1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))))))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* -1 (* v (- (* -1 (/ (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v)))) v)) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i))) (* -1/3 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i v))))) v)) (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))) v)) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))))
(+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O cosTheta_i))) (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_O (* cosTheta_i v))))))
(+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O cosTheta_i))) (* sinTheta_i (+ (* 1/3 (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (pow sinTheta_O 2) (* cosTheta_O (* cosTheta_i v))))))))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i))))
(+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v))))))
(+ (* 2 (/ v (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (* sinTheta_O (+ (* 1/3 (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (/ (pow sinTheta_i 2) (* cosTheta_O (* cosTheta_i v))))))))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))
(* 2 (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) (* cosTheta_O cosTheta_i)))

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

eval333.0ms (1.7%)

Compiler: Compiled 66400 to 4557 computations (93.1% saved)

prune460.0ms (2.3%)

Pruning

42 alts after pruning (42 fresh and 0 done)

	Pruned	Kept	Total
New	2419	38	2457
Fresh	21	4	25
Picked	5	0	5
Done	0	0	0
Total	2445	42	2487

Accuracy

100.0%

Counts

2487 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) v)
	94.8%	(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) v)
	99.1%	(/.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_i))
	94.0%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))))
	94.0%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 #s(literal 2 binary32) v) (.f32 cosTheta_O cosTheta_i)))
▶	69.1%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
	98.4%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	59.1%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
	98.9%	(/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_i v)))
	98.9%	(/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	71.2%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -1 binary32))))
	59.1%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	94.0%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	59.1%	(/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	59.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1/2 binary32)))
	71.3%	(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) (.f32 (.f32 v v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)))))
	71.4%	(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (.f32 v (.f32 v v)) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v v)) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))))))
	99.0%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
▶	99.0%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
	98.6%	(.f32 (/.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) #s(literal -1/2 binary32)) (.f32 v v))) (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (*.f32 sinTheta_O sinTheta_i)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	78.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
	98.6%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(*.f32 (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	59.1%	(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
▶	99.1%	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
	99.0%	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	59.8%	(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i))) #s(literal -1 binary32)))
▶	57.9%	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
	99.0%	(.f32 (-.f32 cosTheta_O (/.f32 (+.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/2 binary32)) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.4%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
▶	59.1%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	97.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Compiler

Compiled 2328 to 1506 computations (35.3% saved)

simplify350.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))
✓	cost-diff	0	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	128	(+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))
✓	cost-diff	128	(.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i))))
✓	cost-diff	128	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
✓	cost-diff	448	(-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
✓	cost-diff	448	(/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
✓	cost-diff	512	(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v))
✓	cost-diff	512	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
✓	cost-diff	0	(/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
✓	cost-diff	64	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	64	(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
✓	cost-diff	64	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))

Rules

4352×	`-lowering-.f32`
4352×	`-lowering-.f64`
2784×	`/-lowering-/.f32`
2784×	`/-lowering-/.f64`
2152×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	601
1	181	587
2	655	544
3	2825	515
4	6037	511
0	8091	511

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize331.0ms (1.7%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O v))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	98.4%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	98.1%	(+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	94.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
✓	accuracy	48.1%	(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
✓	accuracy	99.1%	(/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
✓	accuracy	98.9%	(.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))
✓	accuracy	98.7%	(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	100.0%	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	accuracy	99.6%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
✓	accuracy	98.9%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	98.8%	(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

196.0ms	255×	0	valid
3.0ms	1×	5	exit

Compiler

Compiled 648 to 59 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-div: 42.0ms (42.1% of total)

ival-mult: 38.0ms (38.1% of total)

...c/correct-round.rkt:119:19: 6.0ms (6% of total)

ival-add: 4.0ms (4% of total)

ival-sub: 3.0ms (3% of total)

ival-sinh: 3.0ms (3% of total)

ival-exp: 2.0ms (2% of total)

backward-pass: 1.0ms (1% of total)

const: 1.0ms (1% of total)

series269.0ms (1.4%)

Counts

24 → 960

Calls

Call 1

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

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

Calls

240 calls:

Time	Variable		Point	Expression
73.0ms	cosTheta_O	@	inf	(* v (+ (/ (* 2 (* sinTheta_O sinTheta_i)) (* cosTheta_O (* cosTheta_i v))) (/ 2 (* cosTheta_O cosTheta_i))))
38.0ms	sinTheta_i	@	inf	(* cosTheta_i (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6))
16.0ms	cosTheta_i	@	0	(* (- (* cosTheta_O cosTheta_i) (/ (- (* cosTheta_O (* (* cosTheta_i sinTheta_O) sinTheta_i)) (/ (* cosTheta_O (+ (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) (* cosTheta_i (+ (* (* -1/2 (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/6)))) v)) v)) (/ 1/2 v))
8.0ms	cosTheta_i	@	inf	(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ sinTheta_i (/ v sinTheta_O))) cosTheta_i))
6.0ms	sinTheta_i	@	0	(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ sinTheta_i (/ v sinTheta_O))) cosTheta_i))

rewrite565.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4522×	`-lowering-.f32`
4522×	`-lowering-.f64`
2848×	`/-lowering-/.f32`
2848×	`/-lowering-/.f64`
2388×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	378
1	358	343
2	3766	336
0	8388	336

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 772

Calls

Call 1

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

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

simplify610.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6452×	`-lowering-.f32`
6452×	`-lowering-.f64`
3264×	`+-lowering-+.f64`
3264×	`+-lowering-+.f32`
2282×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1276	22439
1	4751	21881
0	8833	21881

Stop Event

1×	iter limit
1×	node limit

Counts

960 → 960

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) v) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))) (.f32 v v))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/.f32 (+.f32 (+.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (+.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 (+.f32 (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_i) (.f32 v v)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_i #s(literal 7/360 binary32))) (*.f32 cosTheta_i #s(literal 1/840 binary32)))) (pow.f32 v #s(literal 6 binary32))))) (neg.f32 v))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v 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 (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/12 binary32) (*.f32 v v)) #s(literal 1/2 binary32)) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
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(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
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(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
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(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cosTheta_O
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(-.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))
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(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cosTheta_O
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(-.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))
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cosTheta_O
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(-.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))
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cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))
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(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(* 1/2 cosTheta_O)
(*.f32 cosTheta_O #s(literal 1/2 binary32))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* -1/2 (/ (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* -1/2 (/ (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* -1/2 (/ (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* -1/2 (/ (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* 1/2 (/ (* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v))))) v)
(* -1/2 (/ (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))) v)
(* -1/2 (/ (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))) v)
(* -1/2 (/ (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))) v)
(* -1/2 (/ (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v)))) v)
(* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v)))) v)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v)))
(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) v) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))))
(+ (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 3))))))
(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) v) (.f32 sinTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v (.f32 v v)))))))
(+ (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v)) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 3))))))
(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) v) (.f32 sinTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v (.f32 v v)))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 3)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v (*.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (.f32 v v) sinTheta_O)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 3))) (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) (pow sinTheta_O 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (.f32 v v) sinTheta_O)) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v))) (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))))))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 3))) (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) (pow sinTheta_O 2))))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (.f32 v v) sinTheta_O)) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v))) (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v)))) (.f32 sinTheta_O sinTheta_O))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 3)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v (*.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (.f32 v v) sinTheta_O)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v)))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v))))) sinTheta_O) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 v v))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v (.f32 v v)))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v))))) sinTheta_O) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 v v))) sinTheta_O)))
(* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v))
(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v)))) v)
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v)))
(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) v) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v v))))
(+ (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 3))))))
(+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) v) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (.f32 v v)))))))
(+ (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) v)) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 3))))))
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(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 3)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (*.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 (.f32 v v) sinTheta_i)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 3))) (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) (pow sinTheta_i 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 (.f32 v v) sinTheta_i)) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v)))) (.f32 sinTheta_i sinTheta_i))))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 3))) (* 1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) (pow sinTheta_i 2))))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 (.f32 v v) sinTheta_i)) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v)))) (.f32 sinTheta_i sinTheta_i))))))
(* 1/2 (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 3)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (*.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 (.f32 v v) sinTheta_i)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (.f32 v v))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v))))) sinTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (*.f32 v v))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 3))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 3)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (.f32 v v))) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 v v))))) sinTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (*.f32 v v))) sinTheta_i)))
(* 1/2 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 3)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (.f32 v (.f32 v v)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (pow v 3))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))))) (.f32 v (*.f32 v v)))
(/ (+ (* 1/2 (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (.f32 v (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))))) (.f32 v (.f32 v v)))
(/ (+ (* 1/2 (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* v (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (* cosTheta_O (* cosTheta_i v)))))) (pow v 3))
(/.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (.f32 v (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))))) (.f32 v (.f32 v v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) v) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) v) (.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- (+ cosTheta_i (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_O (-.f32 (+.f32 (+.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v))) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(* -1 (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(.f32 (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(.f32 (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(.f32 (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (- (+ (* -1 cosTheta_i) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
(.f32 (+.f32 (-.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (.f32 v v))) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (neg.f32 cosTheta_O))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* cosTheta_i (- (+ cosTheta_O (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (+.f32 cosTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i)) v))))
(* -1 (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v)))
(* -1 (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v)))
(* -1 (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v)))
(* -1 (* cosTheta_i (- (+ (* -1 cosTheta_O) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) cosTheta_O) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) v)))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))
(+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))
(-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(+.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v v)) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)))))
(+.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v v)) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))))
(/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v sinTheta_O))))
(* (pow sinTheta_O 2) (- (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O))) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v sinTheta_O)))))
(* (pow sinTheta_O 2) (- (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (+ (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O))) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v sinTheta_O)))))
(/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (/.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) sinTheta_O) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v)) (/.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) sinTheta_O) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))) sinTheta_O)))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))
(+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))
(-.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(+.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) v))))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)))))
(+.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v v)) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) v))))
(/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) (/.f32 (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i) v)))
(* (pow sinTheta_i 2) (- (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_i))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v))))
(* (pow sinTheta_i 2) (- (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (+ (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i))) (-.f32 (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i sinTheta_i))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v))))
(/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) (/.f32 (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) v)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v)) (/.f32 (+.f32 (/.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) v)) sinTheta_i)))
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (pow v 2))
(/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 v v))
(/ (+ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))) (*.f32 v v))
(/ (+ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))) (*.f32 v v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(- (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(- (+ (* cosTheta_O cosTheta_i) (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 v v)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v))
(+ (* -1 (/ (- (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v))
(+ (* -1 (/ (- (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v))
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(* -1 (/ (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(* -1 (/ (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(* -1 (/ (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(* -1 (/ (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(/ (* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))) v)
(/.f32 (.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v))) v)
(* -1 (/ (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v))
(/.f32 (.f32 cosTheta_i (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.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))
(* -1 (/ (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v))
(/.f32 (.f32 cosTheta_i (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.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))
(* -1 (/ (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v))
(/.f32 (.f32 cosTheta_i (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.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))
(* -1 (/ (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v))
(/.f32 (.f32 cosTheta_i (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.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))
(* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))
(+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))))
(+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))) (.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v v)))))
(+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))) (.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) (.f32 v v)))))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2)))
(neg.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v sinTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v sinTheta_O)) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)))) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v sinTheta_O)) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_O sinTheta_O)))) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) (pow v 2)))
(neg.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (.f32 v sinTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 2))))) sinTheta_O))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) sinTheta_O)) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (pow v 2))))) sinTheta_O))))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) sinTheta_O)) (/.f32 (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) sinTheta_O)))
(* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))
(+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))))
(+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))) (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v v)))))
(+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v v)))) (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v v)))))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2)))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (*.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))) (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))) (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (pow v 2)))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v v))))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) (pow v 2)))
(.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (*.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2))))) sinTheta_i))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (neg.f32 (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) sinTheta_i)) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) v)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) (pow v 2))) (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2))))) sinTheta_i))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (neg.f32 (.f32 v v))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v v) sinTheta_i)) (/.f32 (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) v)) sinTheta_i)))
(* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (neg.f32 (.f32 v v)))
(/ (+ (* -1 (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (*.f32 v v))
(/ (+ (* -1 (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (*.f32 v v))
(/ (+ (* -1 (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (*.f32 v v))
(/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_O (- (* cosTheta_i (* sinTheta_O sinTheta_i)) (+ (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v) (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v))))
(.f32 cosTheta_O (-.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v)) (/.f32 (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* -1 (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(* -1 (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(* -1 (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(* -1 (* cosTheta_O (- (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* cosTheta_i (- (* cosTheta_O (* sinTheta_O sinTheta_i)) (/ (* cosTheta_O (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) v)))
(.f32 cosTheta_i (-.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)))
(* -1 (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)))
(* -1 (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)))
(* -1 (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)))
(* -1 (* cosTheta_i (- (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (/ (* cosTheta_O (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))))
(.f32 (neg.f32 cosTheta_i) (-.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)))
(* 1/6 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(- (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/6 (/ (* cosTheta_O cosTheta_i) v)))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) v))
(- (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 sinTheta_O (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) v))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v))
(- (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 sinTheta_O (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))))) v))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v))))
(* (pow sinTheta_O 2) (- (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v))))
(* (pow sinTheta_O 2) (- (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v))))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) (neg.f32 v))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v))))
(* (pow sinTheta_O 2) (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) sinTheta_O)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v sinTheta_O)) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (neg.f32 sinTheta_O)) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) v))))
(* (pow sinTheta_O 2) (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) sinTheta_O)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v sinTheta_O)) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (neg.f32 sinTheta_O)) (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) v))))
(* 1/6 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(- (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* -1/6 (/ (* cosTheta_O cosTheta_i) v)))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) v))
(- (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 sinTheta_i (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) v))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v))
(- (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (.f32 sinTheta_i (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) v))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (neg.f32 v))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v)))
(* (pow sinTheta_i 2) (- (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i))) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v))))
(* (pow sinTheta_i 2) (- (+ (* 1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i))) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v))))
(* -1 (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v))
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) (neg.f32 v))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v)))
(* (pow sinTheta_i 2) (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_O))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) sinTheta_i)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* (pow sinTheta_i 2) (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_O))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) sinTheta_i)) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (neg.f32 sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))
(neg.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(/ (- (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)
(/ (- (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)
(/ (- (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(+ (* -1 (/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v))
(/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 (*.f32 v sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (+ (* -1 (/ (* (pow cosTheta_O 2) (* (pow cosTheta_i 2) (* v (- (/ (exp (/ 1 v)) (* cosTheta_O cosTheta_i)) (/ 1 (* cosTheta_O (* cosTheta_i (exp (/ 1 v))))))))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (pow (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) 2))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_O) (.f32 (.f32 (.f32 cosTheta_i cosTheta_i) v) (+.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))) (.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) (pow.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))))) v)
(/ (+ (* v (- (/ (* (pow cosTheta_O 3) (* (pow cosTheta_i 3) (* v (pow (- (/ (exp (/ 1 v)) (* cosTheta_O cosTheta_i)) (/ 1 (* cosTheta_O (* cosTheta_i (exp (/ 1 v)))))) 2)))) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (pow (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) 3)))) (/ (* (pow cosTheta_O 2) (* (pow cosTheta_i 2) (- (/ (exp (/ 1 v)) (* cosTheta_O cosTheta_i)) (/ 1 (* cosTheta_O (* cosTheta_i (exp (/ 1 v)))))))) (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (pow (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)
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(.f32 (+.f32 (.f32 #s(literal -2 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 cosTheta_O (.f32 cosTheta_i v))))) (/.f32 #s(literal -2 binary32) (.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(.f32 #s(literal 2 binary32) (/.f32 v (.f32 cosTheta_O cosTheta_i)))
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(.f32 #s(literal 2 binary32) (+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)))
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(.f32 #s(literal 2 binary32) (+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)))
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(.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (* 2 (/ v (* cosTheta_O (* cosTheta_i sinTheta_O))))))
(.f32 sinTheta_O (.f32 #s(literal 2 binary32) (+.f32 (/.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (/.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))))))
(* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (* 2 (/ v (* cosTheta_O (* cosTheta_i sinTheta_O))))))
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(* sinTheta_O (+ (* 2 (/ sinTheta_i (* cosTheta_O cosTheta_i))) (* 2 (/ v (* cosTheta_O (* cosTheta_i sinTheta_O))))))
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(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))
(.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
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(.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (/.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))))) (neg.f32 sinTheta_O))
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(.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O cosTheta_i))) (* 2 (/ v (* cosTheta_O (* cosTheta_i sinTheta_i))))))
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(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))
(.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
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(.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) (/.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))) (neg.f32 sinTheta_i))
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(.f32 (.f32 #s(literal -2 binary32) (+.f32 (/.f32 sinTheta_O (.f32 cosTheta_O cosTheta_i)) (/.f32 v (.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))) (neg.f32 sinTheta_i))
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(/.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) cosTheta_O)
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(/.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) cosTheta_O)
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(/.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i v)) (/.f32 #s(literal -2 binary32) cosTheta_i))) (neg.f32 cosTheta_O))
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(/.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O v)) (/.f32 #s(literal 2 binary32) cosTheta_O))) cosTheta_i)
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(.f32 sinTheta_O (+.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 cosTheta_O (.f32 cosTheta_i v)))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)))))
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(.f32 sinTheta_O (+.f32 (.f32 #s(literal 2 binary32) (/.f32 sinTheta_i (.f32 cosTheta_O (.f32 cosTheta_i v)))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)))))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O (* cosTheta_i sinTheta_i))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O (* cosTheta_i sinTheta_i))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (+ (* 2 (/ sinTheta_O (* cosTheta_O (* cosTheta_i v)))) (* 2 (/ 1 (* cosTheta_O (* cosTheta_i sinTheta_i))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal 2 binary32) sinTheta_O) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i))))
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(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
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(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
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(.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))
(* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))
(* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))
(* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))
(.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))
(* -1/6 cosTheta_i)
(*.f32 cosTheta_i #s(literal -1/6 binary32))
(+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))
(+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))
(+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))
(* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_O sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_O sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_O sinTheta_O))))
(* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_O sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_O sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_O 2)))))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_O sinTheta_O))))
(* -1/6 cosTheta_i)
(*.f32 cosTheta_i #s(literal -1/6 binary32))
(+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))
(+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))
(+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))
(+.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))))
(* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_i sinTheta_i))))
(* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))
(.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* -1/6 (/ cosTheta_i (pow sinTheta_i 2)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 cosTheta_i #s(literal -1/6 binary32)) (*.f32 sinTheta_i sinTheta_i))))
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(/ (* cosTheta_O (* cosTheta_i (- (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (+.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (neg.f32 v))
(* -1/6 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) v))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) v))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) v))
(/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v)
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) v)
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))))
(/ (* cosTheta_O (* (pow sinTheta_O 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2))))) v)
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)))) v)
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_i 2))) (* cosTheta_i (pow sinTheta_i 2)))) v)))
(.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (.f32 cosTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_O sinTheta_O)))))
(* -1/6 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v)
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v))
(+ (* -1/6 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v))
(+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v))
(/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v)
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v)
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i)))))
(/ (* cosTheta_O (* (pow sinTheta_i 2) (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2))))) v)
(/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v)
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v))) (/ (* cosTheta_O (+ (* -1/2 (* cosTheta_i (pow sinTheta_O 2))) (* cosTheta_i (pow sinTheta_O 2)))) v)))
(.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)))) v) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v (.f32 sinTheta_i sinTheta_i)))))
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(/ (* cosTheta_O (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (+.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v)))

eval209.0ms (1%)

Compiler: Compiled 66892 to 4448 computations (93.4% saved)

prune249.0ms (1.2%)

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	1803	23	1826
Fresh	10	27	37
Picked	5	0	5
Done	0	0	0
Total	1818	50	1868

Accuracy

100.0%

Counts

1868 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) v)
	99.0%	(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
	69.1%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
	44.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
	39.7%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))))
	62.4%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	94.0%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))))
	94.2%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) cosTheta_O))
	90.6%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (/.f32 (.f32 #s(literal 2 binary32) (+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))) v)))
	93.3%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i))))
	45.5%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O (.f32 #s(literal 2 binary32) (+.f32 (/.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (/.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)))))))
	98.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	59.1%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
	98.9%	(/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.1%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	71.2%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -1 binary32))))
	59.1%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	57.9%	(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v)))) v)
	53.3%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (*.f32 v v)))
	59.1%	(/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	59.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1/2 binary32)))
▶	61.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))) (/.f32 #s(literal 1 binary32) v)))
	35.6%	(/.f32 #s(literal 1 binary32) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
	71.3%	(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i))) (.f32 (.f32 v v) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)))))
	71.4%	(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (.f32 v (.f32 v v)) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v v)) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))))))
▶	99.0%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
	98.6%	(.f32 (/.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) #s(literal -1/2 binary32)) (.f32 v v))) (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (*.f32 sinTheta_O sinTheta_i)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	78.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
	98.6%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.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) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	59.1%	(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
	57.8%	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) v)) (/.f32 #s(literal 1/2 binary32) v))
	57.8%	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
	57.7%	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))) (/.f32 #s(literal 1/2 binary32) v))
	99.0%	(.f32 (-.f32 cosTheta_O (/.f32 (+.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/2 binary32)) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	57.8%	(.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) v))
	98.4%	(.f32 (.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
▶	59.1%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i)))
	59.1%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	97.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	59.1%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
▶	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.9%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))

Compiler

Compiled 2724 to 1734 computations (36.3% saved)

simplify218.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5172×	`-lowering-.f32`
5172×	`-lowering-.f64`
3342×	`/-lowering-/.f32`
3342×	`/-lowering-/.f64`
1872×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	365
1	136	363
2	479	348
3	2012	341
4	5078	336
0	8689	336

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize199.0ms (1%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.1%	(+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	94.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	39.8%	(.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i))))
✓	accuracy	99.6%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	99.0%	(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.4%	(.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i))
✓	accuracy	99.3%	(.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	98.7%	(+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))
✓	accuracy	98.5%	(/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.3%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.5%	(/.f32 sinTheta_i (/.f32 v sinTheta_O))
✓	accuracy	99.2%	(.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
✓	accuracy	99.0%	(/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
✓	accuracy	97.8%	(sinh.f32 (/.f32 #s(literal -1 binary32) v))

Results

132.0ms

256×

valid

Compiler

Compiled 391 to 47 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 31.0ms (43.9% of total)

ival-mult: 24.0ms (34% of total)

ival-sinh: 6.0ms (8.5% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.7% of total)

ival-add: 3.0ms (4.3% of total)

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

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series96.0ms (0.5%)

Counts

25 → 912

Calls

Call 1

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

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

Calls

228 calls:

Time	Variable		Point	Expression
5.0ms	cosTheta_O	@	0	(* (/ (/ (/ cosTheta_O v) (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (* v -2) (sinh (/ -1 v)))) cosTheta_i)
4.0ms	cosTheta_O	@	0	(* cosTheta_O (* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v)))))
3.0ms	v	@	-inf	(/ (/ (/ cosTheta_O v) (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (* v -2) (sinh (/ -1 v))))
2.0ms	sinTheta_i	@	inf	(* (/ (/ (/ cosTheta_O v) (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (* v -2) (sinh (/ -1 v)))) cosTheta_i)
2.0ms	sinTheta_O	@	inf	(* (/ (/ (/ cosTheta_O v) (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (* v -2) (sinh (/ -1 v)))) cosTheta_i)

rewrite387.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5586×	`-lowering-.f32`
5586×	`-lowering-.f64`
3432×	`/-lowering-/.f32`
3432×	`/-lowering-/.f64`
2606×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	280
1	258	278
2	2384	278
0	9314	278

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 941

Calls

Call 1

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

Outputs
(pow.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32))
(/.f32 cosTheta_i (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (.f32 cosTheta_i #s(literal 1 binary32)) (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) cosTheta_i) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal -2 binary32)))
(.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i))
(.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 cosTheta_i (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) cosTheta_i)
(.f32 cosTheta_i (/.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 cosTheta_i (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i (*.f32 v #s(literal -2 binary32))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_O v)) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))
(pow.f32 (.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 v cosTheta_O)) #s(literal -1 binary32))
(/.f32 cosTheta_O (.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) v))
(/.f32 cosTheta_O (.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (neg.f32 (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_O v)) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (/.f32 cosTheta_O v) (.f32 (.f32 v #s(literal -2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
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(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_i (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)))))) (.f32 cosTheta_i (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -2 binary32)))) (.f32 cosTheta_i (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (.f32 cosTheta_i (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) v)))) (.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_i (.f32 #s(literal -2 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 cosTheta_i (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_i (.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 cosTheta_i (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (.f32 (/.f32 #s(literal 2 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) v))) (.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) v) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_i v))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_O) cosTheta_i) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) (.f32 cosTheta_O v)))) (.f32 cosTheta_i cosTheta_i))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))))) (.f32 (neg.f32 cosTheta_i) #s(literal 1 binary32))) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal 2 binary32))))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_i sinTheta_O))) (.f32 (neg.f32 cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (.f32 (neg.f32 cosTheta_i) (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))))) (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (neg.f32 cosTheta_i) (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)))))) (.f32 (neg.f32 cosTheta_i) (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (neg.f32 cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -2 binary32)))) (.f32 (neg.f32 cosTheta_i) (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 (neg.f32 cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (.f32 (neg.f32 cosTheta_i) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 cosTheta_O cosTheta_i)) (.f32 (neg.f32 cosTheta_i) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) v)))) (.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 (neg.f32 cosTheta_i) (.f32 #s(literal -2 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 (neg.f32 cosTheta_i) (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 (neg.f32 cosTheta_i) (.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 (neg.f32 cosTheta_i) (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 cosTheta_O cosTheta_i)) (.f32 (neg.f32 cosTheta_i) (.f32 (/.f32 #s(literal 2 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) (.f32 cosTheta_O cosTheta_i)) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) v))) (.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) v) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)))) (.f32 (neg.f32 cosTheta_i) v))
(/.f32 (+.f32 (.f32 (neg.f32 (/.f32 #s(literal 2 binary32) cosTheta_O)) cosTheta_i) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) (.f32 cosTheta_O v)))) (.f32 (neg.f32 cosTheta_i) cosTheta_i))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))))) (.f32 cosTheta_O #s(literal 1 binary32))) (.f32 cosTheta_O (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal 2 binary32))))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_O))) (.f32 cosTheta_O (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i v))) (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))))) (.f32 cosTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i v))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_O (neg.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32)))))) (.f32 cosTheta_O (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal -2 binary32)))) (.f32 cosTheta_O (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (.f32 cosTheta_O (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) v)))) (.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_O (.f32 #s(literal -2 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 cosTheta_O (.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))) (.f32 cosTheta_O (.f32 #s(literal 1 binary32) (.f32 sinTheta_i sinTheta_O)))) (.f32 cosTheta_O (.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 v #s(literal 2 binary32)))))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (.f32 (/.f32 #s(literal 2 binary32) v) (.f32 sinTheta_i sinTheta_O)))) (.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) v))) (.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) v) (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) (.f32 cosTheta_O cosTheta_i)))) (.f32 cosTheta_O v))
(/.f32 (+.f32 (.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) cosTheta_i) (.f32 cosTheta_O (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) (.f32 cosTheta_O v)))) (.f32 cosTheta_O cosTheta_i))
(.f32 (+.f32 (/.f32 (.f32 #s(literal 8 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 sinTheta_i sinTheta_O)))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i v))))) (/.f32 #s(literal 8 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_i)))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (/.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) v) (.f32 (.f32 sinTheta_i sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i))))) (/.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) v))) (.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))))))
(.f32 (.f32 (+.f32 (.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i))) (/.f32 (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (.f32 cosTheta_O cosTheta_i))))

simplify444.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

7030×	`-lowering-.f32`
7030×	`-lowering-.f64`
3884×	`+-lowering-+.f64`
3884×	`+-lowering-+.f32`
2076×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1118	17256
1	4155	16763
0	8763	16763

Stop Event

1×	iter limit
1×	node limit

Counts

912 → 912

Calls

Call 1

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

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

eval203.0ms (1%)

Compiler: Compiled 57999 to 5752 computations (90.1% saved)

prune328.0ms (1.6%)

Pruning

60 alts after pruning (57 fresh and 3 done)

	Pruned	Kept	Total
New	2000	30	2030
Fresh	18	27	45
Picked	2	3	5
Done	0	0	0
Total	2020	60	2080

Accuracy

100.0%

Counts

2080 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))))
	62.4%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)))) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	94.0%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 2 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) #s(literal 1 binary32))))
	94.2%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 v (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i v)) (/.f32 #s(literal 2 binary32) cosTheta_i))) cosTheta_O))
	90.6%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (/.f32 (.f32 #s(literal 2 binary32) (+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))) v)))
	45.5%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 sinTheta_O (.f32 #s(literal 2 binary32) (+.f32 (/.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (/.f32 v (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)))))))
	59.1%	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) v)
	59.1%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) v)
	57.9%	(/.f32 (+.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) (*.f32 v v))) v)
	98.3%	(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) v)
	71.2%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (*.f32 v v))) #s(literal -1 binary32))))
	59.1%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	57.9%	(/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32)) (*.f32 v v)))) v)
	53.3%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 v (*.f32 v v)))
	57.8%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (+.f32 cosTheta_O (.f32 #s(literal -1/6 binary32) (/.f32 cosTheta_O (.f32 v v)))))) v)
	57.8%	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (-.f32 (/.f32 (.f32 #s(literal 1/6 binary32) cosTheta_O) (.f32 v v)) cosTheta_O))) v)
	59.1%	(/.f32 cosTheta_i (/.f32 v (*.f32 cosTheta_O #s(literal 1/2 binary32))))
	59.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_O cosTheta_i)) #s(literal 1/2 binary32)))
	59.8%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1 binary32) v)))
	40.5%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal -1/3 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) v))) v)) (/.f32 #s(literal 1 binary32) v)))
	38.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v (+.f32 (.f32 (.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 2 binary32) (.f32 v (.f32 cosTheta_O cosTheta_i)))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))) (/.f32 #s(literal 1 binary32) v)))
	92.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 #s(literal 2 binary32) v) (*.f32 cosTheta_O cosTheta_i))) (/.f32 #s(literal 1 binary32) v)))
	31.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (/.f32 (+.f32 (.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)))))) (/.f32 #s(literal 1 binary32) v)))
	29.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (/.f32 (+.f32 (.f32 v (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O cosTheta_i))) (.f32 (neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))))) (.f32 (neg.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))))) (/.f32 #s(literal 1 binary32) v)))
	34.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v (/.f32 (+.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_i (.f32 sinTheta_O #s(literal 2 binary32))))) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) #s(literal 1 binary32))) (.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 sinTheta_i (*.f32 sinTheta_O #s(literal 2 binary32)))))))) (/.f32 #s(literal 1 binary32) v)))
	71.4%	(+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 v (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 sinTheta_i (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (.f32 v (.f32 v v)) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 v v)) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)))))))
	98.6%	(.f32 (/.f32 (/.f32 (-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) #s(literal -1/2 binary32)) (.f32 v v))) (.f32 cosTheta_O (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i) v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) (*.f32 sinTheta_O sinTheta_i)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (+.f32 #s(literal 1 binary32) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	78.2%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/120 binary32) (.f32 (/.f32 #s(literal 1/5040 binary32) (.f32 v v)) #s(literal -1 binary32))) (.f32 (.f32 v v) (.f32 v v))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 v v)))) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
	98.8%	(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_O (/.f32 (exp.f32 (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) v) cosTheta_i)
	98.8%	(.f32 (/.f32 cosTheta_i v) (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
	59.1%	(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
	57.8%	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta_O cosTheta_i)) v) v)) (/.f32 #s(literal 1/2 binary32) v))
	57.8%	(.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) v)) (/.f32 #s(literal 1/2 binary32) v))
	99.0%	(.f32 (-.f32 cosTheta_O (/.f32 (+.f32 (.f32 (/.f32 (.f32 (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/2 binary32)) (.f32 cosTheta_O (.f32 sinTheta_O sinTheta_i))) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.8%	(.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 (/.f32 #s(literal -1/6 binary32) v) (.f32 cosTheta_O cosTheta_i)) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	57.8%	(.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) v))
	57.7%	(.f32 (+.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O #s(literal -1/6 binary32)) (/.f32 cosTheta_i (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 1/2 binary32))
	59.1%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
	57.7%	(.f32 (.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (.f32 #s(literal -1/6 binary32) cosTheta_i) (.f32 v v)))) (/.f32 #s(literal 1/2 binary32) v))
✓	59.1%	(.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))
	59.1%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i)))
	59.1%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	97.3%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.9%	(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	57.7%	(.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/12 binary32) cosTheta_i) (.f32 v v)) (.f32 cosTheta_i #s(literal 1/2 binary32))) v))
	98.8%	(.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 v (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	71.3%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
	64.9%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
✓	98.8%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	57.7%	(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i v))))
	98.8%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.8%	(.f32 cosTheta_O (.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))

Compiler

Compiled 4374 to 1620 computations (63% saved)

regimes346.0ms (1.7%)

Counts

123 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

93.0ms	v
35.0ms	cosTheta_i
35.0ms	sinTheta_i
33.0ms	sinTheta_O
32.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`cosTheta_O`
99.1%	1	`sinTheta_i`
99.1%	1	`sinTheta_O`
99.1%	1	`v`
99.1%	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))`
99.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes300.0ms (1.5%)

Counts

110 → 1

Calls

Call 1

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

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

Calls

8 calls:

40.0ms	sinTheta_i
39.0ms	v
37.0ms	sinTheta_O
35.0ms	cosTheta_O
34.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.1%	1	`cosTheta_i`
99.1%	1	`cosTheta_O`
99.1%	1	`sinTheta_i`
99.1%	1	`sinTheta_O`
99.1%	1	`v`
99.1%	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))`
99.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
99.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes259.0ms (1.3%)

Counts

91 → 1

Calls

Call 1

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

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

Calls

7 calls:

58.0ms	sinTheta_i
41.0ms	cosTheta_O
30.0ms	v
29.0ms	cosTheta_i
26.0ms	sinTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes192.0ms (1%)

Counts

89 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes181.0ms (0.9%)

Counts

77 → 1

Calls

Call 1

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

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

Calls

7 calls:

37.0ms	cosTheta_i
25.0ms	sinTheta_i
22.0ms	(*.f32 cosTheta_i cosTheta_O)
22.0ms	cosTheta_O
21.0ms	v

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes131.0ms (0.7%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	sinTheta_i
18.0ms	sinTheta_O
17.0ms	v
17.0ms	cosTheta_i
17.0ms	cosTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes98.0ms (0.5%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	sinTheta_i
15.0ms	cosTheta_O
15.0ms	cosTheta_i
15.0ms	v
15.0ms	sinTheta_O

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes100.0ms (0.5%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	cosTheta_O
15.0ms	v
15.0ms	sinTheta_i
15.0ms	sinTheta_O
14.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes125.0ms (0.6%)

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

30.0ms	cosTheta_O
26.0ms	cosTheta_i
20.0ms	sinTheta_i
14.0ms	sinTheta_O
14.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes92.0ms (0.5%)

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

15.0ms	sinTheta_i
15.0ms	sinTheta_O
14.0ms	cosTheta_O
14.0ms	cosTheta_i
14.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes86.0ms (0.4%)

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

18.0ms	cosTheta_O
14.0ms	v
13.0ms	sinTheta_O
12.0ms	cosTheta_i
12.0ms	sinTheta_i

Results

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes70.0ms (0.4%)

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

22.0ms	sinTheta_i
12.0ms	v
12.0ms	cosTheta_i
10.0ms	cosTheta_O
10.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
71.2%	1	`v`
71.2%	1	`sinTheta_O`
71.2%	1	`cosTheta_i`
71.2%	1	`cosTheta_O`
71.2%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes61.0ms (0.3%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	cosTheta_i
11.0ms	cosTheta_O
11.0ms	v
10.0ms	sinTheta_i
10.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
64.9%	1	`sinTheta_i`
64.9%	1	`v`
64.9%	1	`cosTheta_O`
64.9%	1	`sinTheta_O`
64.9%	1	`cosTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes79.0ms (0.4%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	v
16.0ms	cosTheta_i
10.0ms	sinTheta_i
9.0ms	sinTheta_O
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
59.8%	1	`cosTheta_i`
59.8%	1	`sinTheta_O`
59.8%	1	`v`
59.8%	1	`cosTheta_O`
59.8%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes31.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.7%	1	`sinTheta_O`
59.7%	1	`sinTheta_i`
59.7%	1	`v`
59.7%	1	`cosTheta_i`
59.7%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes29.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_i
5.0ms	cosTheta_O
5.0ms	v

Results

Accuracy	Segments	Branch
59.1%	1	`sinTheta_i`
59.1%	1	`sinTheta_O`
59.1%	1	`cosTheta_O`
59.1%	1	`v`
59.1%	1	`cosTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes27.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.1%	1	`sinTheta_i`
59.1%	1	`sinTheta_O`
59.1%	1	`cosTheta_i`
59.1%	1	`cosTheta_O`
59.1%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes22.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	sinTheta_i
5.0ms	v
4.0ms	cosTheta_i
4.0ms	cosTheta_O
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
59.1%	1	`sinTheta_i`
59.1%	1	`sinTheta_O`
59.1%	1	`cosTheta_O`
59.1%	1	`v`
59.1%	1	`cosTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes18.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	sinTheta_O
3.0ms	cosTheta_O
3.0ms	v
3.0ms	cosTheta_i
3.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
59.1%	1	`sinTheta_i`
59.1%	1	`sinTheta_O`
59.1%	1	`cosTheta_i`
59.1%	1	`cosTheta_O`
59.1%	1	`v`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.1%	1	`sinTheta_i`
59.1%	1	`sinTheta_O`
59.1%	1	`v`
59.1%	1	`cosTheta_i`
59.1%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1062×	`distribute-lft-neg-in_binary32`
716×	`neg-mul-1_binary32`
700×	`unsub-neg_binary32`
566×	`neg-sub0_binary32`
398×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	419
1	184	412
2	211	412
3	250	411
4	324	411
5	411	411
6	517	411
7	714	411
8	1062	411
9	1598	411
10	2217	411
11	2748	411
12	3083	411
13	3261	411
14	3391	411
15	3408	411
16	3415	411
17	3464	411
18	3485	411
19	3485	411

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.2s (21%)

Rules

7030×	`-lowering-.f32`
7030×	`-lowering-.f64`
7016×	`-lowering-.f32`
7016×	`-lowering-.f64`
6452×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	74	55
2	507	55
3	6546	55
0	8029	55
0	1276	22439
1	4751	21881
0	8833	21881
0	58	378
1	358	343
2	3766	336
0	8388	336
0	902	15263
1	3375	14990
0	8148	14990
0	46	280
1	258	278
2	2384	278
0	9314	278
0	1118	17256
1	4155	16763
0	8763	16763
0	52	280
1	304	267
2	2855	262
0	8407	262
0	19	21
1	56	21
2	187	20
3	774	20
4	3087	20
5	3833	20
6	5919	20
0	9140	20
0	349	3682
1	1260	3538
2	5579	3523
0	8085	3523

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
1×	iter limit
1×	node limit

Compiler

Compiled 1462 to 877 computations (40% saved)

preprocess412.0ms (2.1%)

Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 4246 to 2424 computations (42.9% saved)

analyze998.0ms (5%)

sample3.0s (15.1%)

preprocess535.0ms (2.7%)

explain154.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify272.0ms (1.4%)

localize71.0ms (0.4%)

series73.0ms (0.4%)

rewrite324.0ms (1.6%)

simplify316.0ms (1.6%)

eval91.0ms (0.5%)

prune217.0ms (1.1%)

simplify253.0ms (1.3%)

localize273.0ms (1.4%)

series114.0ms (0.6%)

rewrite461.0ms (2.3%)

simplify533.0ms (2.7%)

eval333.0ms (1.7%)

prune460.0ms (2.3%)

simplify350.0ms (1.8%)

localize331.0ms (1.7%)

series269.0ms (1.4%)

rewrite565.0ms (2.8%)

simplify610.0ms (3.1%)

eval209.0ms (1%)

prune249.0ms (1.2%)

simplify218.0ms (1.1%)

localize199.0ms (1%)

series96.0ms (0.5%)

rewrite387.0ms (1.9%)

simplify444.0ms (2.2%)

eval203.0ms (1%)

prune328.0ms (1.6%)

regimes346.0ms (1.7%)

regimes300.0ms (1.5%)

regimes259.0ms (1.3%)

regimes192.0ms (1%)

regimes181.0ms (0.9%)

regimes131.0ms (0.7%)

regimes98.0ms (0.5%)

regimes100.0ms (0.5%)

regimes125.0ms (0.6%)

regimes92.0ms (0.5%)

regimes86.0ms (0.4%)

regimes70.0ms (0.4%)

regimes61.0ms (0.3%)

regimes79.0ms (0.4%)

regimes31.0ms (0.2%)

regimes29.0ms (0.1%)

regimes27.0ms (0.1%)

regimes22.0ms (0.1%)

regimes18.0ms (0.1%)

regimes10.0ms (0.1%)

simplify135.0ms (0.7%)

soundness4.2s (21%)

preprocess412.0ms (2.1%)

end0.0ms (0%)

Profiling