Metrics for HairBSDF, Mp, upper

analyze1.5s (7.1%)

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: 1.0s

ival-mult: 418.0ms (41.5% of total)

ival-<=: 192.0ms (19.1% of total)

...c/correct-round.rkt:119:19: 162.0ms (16.1% of total)

ival-div: 97.0ms (9.6% of total)

ival-neg: 33.0ms (3.3% of total)

ival-and: 31.0ms (3.1% of total)

ival-sinh: 30.0ms (3% of total)

ival-exp: 26.0ms (2.6% of total)

ival-<: 10.0ms (1% of total)

const: 6.0ms (0.6% of total)

backward-pass: 2.0ms (0.2% of total)

sample2.7s (12.8%)

Results

2.2s

8256×

valid

Precisions

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

...c/correct-round.rkt:119:19: 315.0ms (19.7% of total)

ival-<=: 309.0ms (19.4% of total)

ival-div: 291.0ms (18.2% of total)

ival-mult: 291.0ms (18.2% of total)

ival-sinh: 127.0ms (8% of total)

ival-and: 88.0ms (5.5% of total)

ival-exp: 79.0ms (4.9% of total)

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

ival-<: 31.0ms (1.9% of total)

const: 17.0ms (1.1% of total)

backward-pass: 4.0ms (0.3% of total)

Bogosity

preprocess305.0ms (1.4%)

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	401
0	19	21
1	56	21
2	187	19
3	775	19
4	3083	19
5	3829	19
6	5915	19
0	9137	19

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain186.0ms (0.9%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
5	(3.6929348581026213e-29 3.868210045750115e-18 7.275683401530841e-6 3.740194733836688e-5 0.11137667298316956)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
0	-	-	`cosTheta_O`
2	(7.268300978441333e-12 0.5711551308631897 1.0954348285011394e-33 3.5039229547353945e-13 0.36454156041145325)	-	`(/.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

130.0ms

512×

valid

Compiler

Compiled 223 to 59 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 18.0ms (38.1% of total)

ival-mult: 16.0ms (33.9% of total)

ival-sinh: 5.0ms (10.6% of total)

ival-exp: 4.0ms (8.5% of total)

ival-neg: 3.0ms (6.4% of total)

const: 1.0ms (2.1% 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
▶	98.6%	(/.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)

simplify236.0ms (1.1%)

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: 4 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	42	76
2	119	76
3	550	76
4	2222	75
5	3537	75
6	6376	75
0	8543	75

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)

localize77.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

59.0ms

256×

valid

Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions

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

ival-div: 9.0ms (42.3% of total)

ival-mult: 7.0ms (32.9% of total)

ival-exp: 2.0ms (9.4% of total)

ival-sinh: 2.0ms (9.4% of total)

const: 1.0ms (4.7% of total)

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

series87.0ms (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 (* (sinh (/ 1 v)) (* v 2))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>

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

Calls

60 calls:

Time	Variable		Point	Expression
26.0ms	v	@	inf	(/ (* sinTheta_i sinTheta_O) v)
6.0ms	sinTheta_O	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
5.0ms	v	@	0	(/ (/ (/ (* 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)))
3.0ms	v	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite378.0ms (1.8%)

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	6549	55
0	8061	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))
(* (sinh (/ 1 v)) (* v 2))
(/ (* sinTheta_i sinTheta_O) v)

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

simplify360.0ms (1.7%)

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	3413
2	5582	3381
0	8089	3381

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

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

eval75.0ms (0.4%)

Compiler: Compiled 22080 to 2119 computations (90.4% saved)

prune208.0ms (1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	863	27	890
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	864	27	891

Accuracy

99.8%

Counts

891 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.5%	(/.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))) (*.f32 cosTheta_i cosTheta_O))) v)
	97.1%	(/.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)))) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 (E.f32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1 binary32) v))))
	98.3%	(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
	94.7%	(/.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 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v)))
	98.6%	(/.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 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (/.f32 (+.f32 (.f32 sinTheta_O (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (.f32 sinTheta_i #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))))
	98.6%	(/.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 sinTheta_O (.f32 cosTheta_i 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))))
	98.7%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
▶	99.0%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
▶	98.5%	(/.f32 (/.f32 (.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))))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	93.1%	(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 v #s(literal 2 binary32))) (.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	95.1%	(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
▶	93.1%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
	55.9%	(/.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))
	98.6%	(/.f32 (+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 sinTheta_i (-.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	57.4%	(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
	57.5%	(/.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))
	55.7%	(/.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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
	98.6%	(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
	98.8%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	57.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	98.1%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.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))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 v #s(literal 2 binary32)))))
▶	98.7%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 v #s(literal 2 binary32)))))
	98.9%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 cosTheta_i v))

Compiler

Compiled 1760 to 1138 computations (35.3% saved)

simplify295.0ms (1.4%)

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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) v)
✓	cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 v #s(literal 2 binary32)))))
✓	cost-diff	0	(.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
✓	cost-diff	0	(/.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))))
✓	cost-diff	64	(.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
✓	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 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	0	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	32	(*.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))
✓	cost-diff	64	(.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))

Rules

4652×	`-lowering-.f32`
4652×	`-lowering-.f64`
3336×	`/-lowering-/.f32`
3336×	`/-lowering-/.f64`
2938×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	375
1	121	375
2	448	363
3	2527	351
4	5263	351
0	8287	351

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize413.0ms (2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	accuracy	99.5%	(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	93.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
✓	accuracy	99.5%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 v #s(literal 2 binary32)))))
✓	accuracy	99.4%	(/.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 v #s(literal 2 binary32))))
✓	accuracy	99.1%	(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(/.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))))
✓	accuracy	99.1%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) 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	99.2%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.1%	(*.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

304.0ms

256×

valid

Compiler

Compiled 391 to 47 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-div: 54.0ms (64.6% of total)

ival-mult: 19.0ms (22.7% of total)

ival-exp: 4.0ms (4.8% of total)

ival-sinh: 3.0ms (3.6% of total)

ival-neg: 2.0ms (2.4% of total)

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

const: 1.0ms (1.2% of total)

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

series125.0ms (0.6%)

Counts

23 → 888

Calls

Call 1

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

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

Calls

222 calls:

Time	Variable		Point	Expression
18.0ms	cosTheta_i	@	-inf	(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
18.0ms	cosTheta_O	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (* (sinh (/ 1 v)) (* v 2)))
4.0ms	v	@	inf	(* (/ cosTheta_O (sinh (/ 1 v))) (/ (/ cosTheta_i v) (* (exp (/ sinTheta_i (/ v sinTheta_O))) (* v 2))))
3.0ms	cosTheta_i	@	-inf	(* (sinh (/ 1 v)) (/ (exp (/ sinTheta_i (/ v sinTheta_O))) (/ cosTheta_i (/ v cosTheta_O))))
2.0ms	sinTheta_i	@	0	(/ (/ cosTheta_i v) (* (exp (/ sinTheta_i (/ v sinTheta_O))) (* v 2)))

rewrite414.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5842×	`/-lowering-/.f32`
5842×	`/-lowering-/.f64`
3718×	`-lowering-.f32`
3718×	`-lowering-.f64`
1570×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	232
1	250	213
2	2183	210
0	8249	210

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1832

Calls

Call 1

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

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

simplify475.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

7628×	`-lowering-.f32`
7628×	`-lowering-.f64`
3974×	`+-lowering-+.f64`
3974×	`+-lowering-+.f32`
1866×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	15039
1	2755	13971
0	9113	13971

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 888

Calls

Call 1

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

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

eval312.0ms (1.5%)

Compiler: Compiled 72896 to 4161 computations (94.3% saved)

prune412.0ms (1.9%)

Pruning

45 alts after pruning (44 fresh and 1 done)

	Pruned	Kept	Total
New	2885	41	2926
Fresh	19	3	22
Picked	4	1	5
Done	0	0	0
Total	2908	45	2953

Accuracy

99.9%

Counts

2953 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.5%	(/.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))) (*.f32 cosTheta_i cosTheta_O))) v)
	98.5%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i))) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (/.f32 v cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	94.7%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
▶	98.9%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	63.3%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	69.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	57.4%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) v)
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.0%	(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (/.f32 v #s(literal 1/2 binary32)) v)))
▶	98.8%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	93.1%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i v)))))
	58.0%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
	36.7%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) v)))
	92.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (pow.f32 (.f32 v v) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
	93.2%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
	93.3%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_O (*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i))))))
	98.5%	(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
▶	55.9%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
	98.7%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)))
	57.5%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
✓	57.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	57.4%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	57.4%	(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
	93.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	58.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
	98.3%	(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 cosTheta_i)) #s(literal -1 binary32)) (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 cosTheta_O (neg.f32 v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32)))
	98.1%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
	98.7%	(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	98.7%	(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
	57.4%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	98.6%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
	98.6%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) #s(literal 1/3 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))))) v)) v)) v)) (*.f32 v v)))
▶	98.6%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (*.f32 v v)))
	98.3%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
	57.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
▶	57.4%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	97.1%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) #s(literal -1 binary32))) (/.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 v #s(literal 2 binary32)))))
	98.7%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))

Compiler

Compiled 2444 to 1605 computations (34.3% saved)

simplify287.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (*.f32 v v)))
✓	cost-diff	64	(-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v))
✓	cost-diff	128	(+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))
✓	cost-diff	0	(-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
✓	cost-diff	0	(/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
✓	cost-diff	0	(/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
✓	cost-diff	0	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))
✓	cost-diff	0	(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v))
✓	cost-diff	32	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
✓	cost-diff	128	(+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) 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	96	(.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v)))
✓	cost-diff	128	(/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	128	(/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	3328	(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)))

Rules

6260×	`-lowering-.f32`
6260×	`-lowering-.f64`
3652×	`/-lowering-/.f32`
3652×	`/-lowering-/.f64`
1786×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	609
1	196	582
2	641	522
3	2563	503
0	8441	503

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (exp (/ (* sinTheta_i sinTheta_O) v))) (- (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v)) (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v))))
(/ (* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (exp (/ (* sinTheta_i sinTheta_O) v)))
(* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))
(neg cosTheta_i)
cosTheta_i
(* cosTheta_O (/ -1 v))
cosTheta_O
(/ -1 v)
-1
v
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(- (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v)) (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v)))
(/ (/ (exp (/ 1 v)) 2) (/ 1/2 v))
(/ (exp (/ 1 v)) 2)
(exp (/ 1 v))
(/ 1 v)
1
2
(/ 1/2 v)
1/2
(/ (/ (exp (/ -1 v)) 2) (/ 1/2 v))
(/ (exp (/ -1 v)) 2)
(exp (/ -1 v))
(* (* 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) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))
(- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v))
(* (* cosTheta_O cosTheta_i) -1/2)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
-1/2
(/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)
(+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v))
(* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)
(* (* cosTheta_O cosTheta_i) sinTheta_O)
sinTheta_O
sinTheta_i
(/ (* -1/12 (* cosTheta_O cosTheta_i)) v)
(* -1/12 (* cosTheta_O cosTheta_i))
-1/12
v
(neg v)
(/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))))
cosTheta_O
(/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))
v
(- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))
cosTheta_i
(/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))
(/ v (* sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1 v)
1
(/ 1/2 v)
1/2
(* (/ cosTheta_O (sinh (/ 1 v))) (/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v)))
(/ cosTheta_O (sinh (/ 1 v)))
cosTheta_O
(sinh (/ 1 v))
(/ 1 v)
1
v
(/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v))
(- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v))
(* cosTheta_i 1/2)
cosTheta_i
1/2
(/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)
(* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v)))
(+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v)
(* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2)
(* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i))
(* cosTheta_i (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(* sinTheta_i sinTheta_i)
-1/2
(* v v)

Outputs
(/ (/ (* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (exp (/ (* sinTheta_i sinTheta_O) v))) (- (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v)) (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v v)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(/ (* (neg cosTheta_i) (* cosTheta_O (/ -1 v))) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))
(* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(neg cosTheta_i)
(neg.f32 cosTheta_i)
cosTheta_i
(* cosTheta_O (/ -1 v))
(-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))
cosTheta_O
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
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
(- (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v)) (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v)))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
(/ (/ (exp (/ 1 v)) 2) (/ 1/2 v))
(*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/ (exp (/ 1 v)) 2)
(/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
2
#s(literal 2 binary32)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ (/ (exp (/ -1 v)) 2) (/ 1/2 v))
(/.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/ (exp (/ -1 v)) 2)
(/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(* (* 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) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))
(/.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1/12 binary32) v))) v) (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
(- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v))
(-.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1/12 binary32) v))) v))
(* (* cosTheta_O cosTheta_i) -1/2)
(.f32 cosTheta_O (.f32 cosTheta_i #s(literal -1/2 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
-1/2
#s(literal -1/2 binary32)
(/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)
(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1/12 binary32) v))) v)
(+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v))
(.f32 (.f32 cosTheta_i cosTheta_O) (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1/12 binary32) v)))
(* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(.f32 cosTheta_O (.f32 cosTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_O))))
(* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)
(.f32 sinTheta_O (.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_i)))
(* (* cosTheta_O cosTheta_i) sinTheta_O)
(.f32 cosTheta_i (.f32 cosTheta_O sinTheta_O))
sinTheta_O
sinTheta_i
(/ (* -1/12 (* cosTheta_O cosTheta_i)) v)
(.f32 cosTheta_O (.f32 (/.f32 cosTheta_i v) #s(literal -1/12 binary32)))
(* -1/12 (* cosTheta_O cosTheta_i))
(.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/12 binary32)))
-1/12
#s(literal -1/12 binary32)
v
(neg v)
(neg.f32 v)
(/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal 1/2 binary32))))
(/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
cosTheta_O
(/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))
(/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))
v
(- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))
(-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
cosTheta_i
(/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))
(/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/ v (* sinTheta_i sinTheta_O))
(/.f32 v (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(* (/ cosTheta_O (sinh (/ 1 v))) (/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v)))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (-.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (+.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))) v))) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v v))
(/ cosTheta_O (sinh (/ 1 v)))
(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cosTheta_O
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v))
(/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (+.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))) v))) v)) v)) v)
(- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v))
(.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (+.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))) v))) v)))
(* cosTheta_i 1/2)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
cosTheta_i
1/2
#s(literal 1/2 binary32)
(/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)
(/.f32 (.f32 (.f32 cosTheta_i sinTheta_O) (+.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) #s(literal -1/4 binary32)) v) (.f32 sinTheta_i #s(literal 1/2 binary32)))) v)
(* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v)))
(.f32 (.f32 cosTheta_i sinTheta_O) (+.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) #s(literal -1/4 binary32)) v) (.f32 sinTheta_i #s(literal 1/2 binary32))))
(+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))
(.f32 (.f32 cosTheta_i sinTheta_O) (+.f32 sinTheta_i (/.f32 (.f32 sinTheta_O (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_i (* sinTheta_O sinTheta_i))
(.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v)
(/.f32 (.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))))) v)
(* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2)
(.f32 sinTheta_i (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)))))
(* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i))
(.f32 sinTheta_i (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))
(* cosTheta_i (* sinTheta_O sinTheta_O))
(.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(*.f32 sinTheta_O sinTheta_O)
(* sinTheta_i sinTheta_i)
(*.f32 sinTheta_i sinTheta_i)
-1/2
#s(literal -1/2 binary32)
(* v v)
(*.f32 v v)

localize395.0ms (1.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (*.f32 v v)))
✓	accuracy	99.2%	(/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v))
✓	accuracy	99.1%	(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.5%	(/.f32 v (*.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.0%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)
✓	accuracy	99.1%	(/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)
✓	accuracy	99.0%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
✓	accuracy	98.9%	(-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) 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	98.9%	(/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	98.9%	(/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.6%	(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓	accuracy	97.6%	(exp.f32 (/.f32 #s(literal 1 binary32) v))

Results

287.0ms	255×	0	valid
5.0ms	1×	5	exit

Compiler

Compiled 655 to 70 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 46.0ms (42.7% of total)

ival-mult: 34.0ms (31.5% of total)

ival-exp: 7.0ms (6.5% of total)

ival-sub: 5.0ms (4.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.6% of total)

ival-add: 3.0ms (2.8% of total)

ival-sinh: 3.0ms (2.8% of total)

ival-neg: 3.0ms (2.8% of total)

backward-pass: 2.0ms (1.9% of total)

const: 1.0ms (0.9% of total)

series105.0ms (0.5%)

Counts

27 → 972

Calls

Call 1

Inputs
#<alt (- (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v)) (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v)))>
#<alt (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v))>
#<alt (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v))>
#<alt (* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))>
#<alt (* (* cosTheta_O 1/2) (/ cosTheta_i v))>
#<alt (* cosTheta_O 1/2)>
#<alt (/ cosTheta_i v)>
#<alt (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v))>
#<alt (/ (- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))>
#<alt (- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v))>
#<alt (* (* cosTheta_O cosTheta_i) -1/2)>
#<alt (/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (/ (sinh (/ 1 v)) (/ 1/2 v)))>
#<alt (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))))>
#<alt (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))>
#<alt (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))>
#<alt (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))>
#<alt (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v))>
#<alt (* (/ cosTheta_O (sinh (/ 1 v))) (/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v)))>
#<alt (/ cosTheta_O (sinh (/ 1 v)))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ -1 v))>
#<alt (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)>
#<alt (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)>
#<alt (sinh (/ 1 v))>
#<alt (/ (sinh (/ 1 v)) (/ 1/2 v))>
#<alt (/ v (* sinTheta_i sinTheta_O))>
#<alt (/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v))>

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

Calls

243 calls:

Time	Variable		Expression
5.0ms	cosTheta_O	@	(* (/ cosTheta_O (sinh (/ 1 v))) (/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v)))
4.0ms	cosTheta_O	@	(/ (- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))
3.0ms	v	@	(/ (- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))
3.0ms	cosTheta_i	@	(+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))
2.0ms	cosTheta_i	@	(/ (- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))

rewrite428.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

4822×	`-lowering-.f32`
4822×	`-lowering-.f64`
2508×	`/-lowering-/.f32`
2508×	`/-lowering-/.f64`
2230×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	338
1	393	306
2	4174	297
0	8622	297

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 966

Calls

Call 1

Inputs
(- (/ (/ (exp (/ 1 v)) 2) (/ 1/2 v)) (/ (/ (exp (/ -1 v)) 2) (/ 1/2 v)))
(/ (/ (exp (/ 1 v)) 2) (/ 1/2 v))
(/ (/ (exp (/ -1 v)) 2) (/ 1/2 v))
(* (neg cosTheta_i) (* cosTheta_O (/ -1 v)))
(* (* cosTheta_O 1/2) (/ cosTheta_i v))
(* cosTheta_O 1/2)
(/ cosTheta_i v)
(+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v))
(/ (- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)) (neg v))
(- (* (* cosTheta_O cosTheta_i) -1/2) (/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v))
(* (* cosTheta_O cosTheta_i) -1/2)
(/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))))
(/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))
(- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O))))
(+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))
(- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v))
(* (/ cosTheta_O (sinh (/ 1 v))) (/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v)))
(/ cosTheta_O (sinh (/ 1 v)))
(exp (/ 1 v))
(exp (/ -1 v))
(/ (+ (* -1/2 (* (* (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/ (* -1/12 (* cosTheta_O cosTheta_i)) v)) v)
(/ (* -1/12 (* cosTheta_O cosTheta_i)) v)
(sinh (/ 1 v))
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/ v (* sinTheta_i sinTheta_O))
(/ (- (* cosTheta_i 1/2) (/ (* 1/2 (+ (* cosTheta_i (* sinTheta_O sinTheta_i)) (/ (* (* (* cosTheta_i (* sinTheta_O sinTheta_O)) (* sinTheta_i sinTheta_i)) -1/2) v))) v)) (* v v))

Outputs
(neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(+.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 v v)) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))) (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (.f32 (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 v (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 v (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 v (-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v #s(literal 1/2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 #s(literal -1 binary32) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 v v))) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (.f32 v v))) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -2 binary32)) (/.f32 v #s(literal 1/2 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))))) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))))) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 v #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 v #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (.f32 (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (.f32 (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) v (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) v (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) v (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32)) (neg.f32 v) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (/.f32 v #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (/.f32 v #s(literal 1/2 binary32)) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) v (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 v #s(literal 1/2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) (neg.f32 v) (+.f32 (.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(fma.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) (neg.f32 v) (+.f32 (.f32 (neg.f32 v) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))
(-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))
(-.f32 (/.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1/4 binary32) (.f32 v v))) (/.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 v v))))
(-.f32 (/.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))))) (/.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))))))
(-.f32 (/.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))) (/.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 2 binary32)) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/4 binary32) (.f32 v v)) (-.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32)) (.f32 (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) (+.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v)))) (-.f32 (pow.f32 (.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) v) #s(literal 3 binary32)))))
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(fma.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 #s(literal 1/2 binary32) cosTheta_O)) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))))
(fma.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))))
(fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (neg.f32 v)) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (.f32 v v)))))
(fma.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (.f32 v v)))))
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(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (.f32 v v)))))
(fma.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (.f32 v v)))))
(fma.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 #s(literal -1 binary32) v) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))))
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(fma.f32 (/.f32 cosTheta_O #s(literal -1 binary32)) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) v) (neg.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (.f32 v v)))))
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(-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) (-.f32 #s(literal 0 binary32) (*.f32 v v))))
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(/.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32))) (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) v)) (neg.f32 v))
(/.f32 (+.f32 (neg.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal -1/2 binary32)))) (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal -1/12 binary32)) v)) v)) v)
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(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_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_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)) #s(literal -1 binary32)) (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) cosTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 cosTheta_O v)) #s(literal -1 binary32)) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))
(.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) #s(literal -1 binary32)) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))
(.f32 (pow.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(neg.f32 (.f32 (/.f32 cosTheta_O v) (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) #s(literal -1 binary32)))
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(+.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (.f32 (/.f32 cosTheta_O v) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(pow.f32 (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 cosTheta_i (neg.f32 (/.f32 cosTheta_O (neg.f32 v))) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O (neg.f32 v)) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 cosTheta_O (.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i)) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 cosTheta_O (neg.f32 v)) (neg.f32 cosTheta_i) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (.f32 (/.f32 cosTheta_O v) (.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(fma.f32 (.f32 (/.f32 cosTheta_O (neg.f32 v)) #s(literal -1 binary32)) cosTheta_i (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 cosTheta_O v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))
(/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (neg.f32 cosTheta_O) (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O)))))) (.f32 v (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))))
(/.f32 (.f32 cosTheta_O (-.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O))))) (.f32 v (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 cosTheta_O #s(literal 1 binary32)) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O)))))) (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O))))) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) #s(literal -1 binary32)))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))
(.f32 (/.f32 cosTheta_O (neg.f32 v)) (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 cosTheta_O v))
(.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v) cosTheta_O)
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) #s(literal -1 binary32)))
(.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(.f32 (/.f32 cosTheta_O #s(literal 1 binary32)) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v))
(neg.f32 (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) #s(literal 1 binary32)) #s(literal -1 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) #s(literal 1 binary32)))
(/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(/.f32 v (neg.f32 (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (neg.f32 v) (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(.f32 #s(literal 1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(.f32 v (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(.f32 #s(literal -1 binary32) (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (neg.f32 v) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(.f32 (/.f32 v (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O)))))) (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(.f32 (/.f32 v (-.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O))))) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 cosTheta_i (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
(+.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
(pow.f32 (/.f32 (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (-.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
(fma.f32 cosTheta_i (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)
(fma.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_i)
(fma.f32 (neg.f32 (/.f32 cosTheta_i v)) (*.f32 sinTheta_O sinTheta_i) cosTheta_i)
(-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (-.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (-.f32 cosTheta_i (.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(.f32 (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))
(.f32 (-.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)) (/.f32 (/.f32 v sinTheta_i) (.f32 cosTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (+.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(+.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(pow.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (-.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal -1/2 binary32) v)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 sinTheta_O (.f32 sinTheta_i cosTheta_i) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(fma.f32 sinTheta_i (.f32 cosTheta_i sinTheta_O) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(fma.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(fma.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)) (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)) v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 sinTheta_i sinTheta_i) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (/.f32 #s(literal -1/2 binary32) v)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))) (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (/.f32 #s(literal -1 binary32) v) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 cosTheta_i sinTheta_O) sinTheta_i (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(fma.f32 (.f32 sinTheta_i (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 sinTheta_i (/.f32 #s(literal -1/2 binary32) v)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(fma.f32 (.f32 cosTheta_i sinTheta_i) sinTheta_O (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))
(-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i))) (neg.f32 v)))
(-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) v))
(-.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) (/.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (-.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))))) (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)))))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))))) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (-.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))))) (+.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)))))))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i))))) (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))))
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(/.f32 (neg.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))))) (neg.f32 (-.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (-.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))
(.f32 (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i))))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (/.f32 (/.f32 v (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i sinTheta_i)))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)))) (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (-.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))))
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(+.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) (+.f32 (.f32 (neg.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) (+.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))
(pow.f32 (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal 1/8 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/2 binary32) cosTheta_i (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) (.f32 #s(literal 1/2 binary32) cosTheta_i))
(fma.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) (+.f32 (.f32 (neg.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(fma.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) (+.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))
(fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (.f32 #s(literal 1/2 binary32) cosTheta_i))
(fma.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))
(fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_i))
(fma.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal 1/8 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))) (+.f32 (.f32 (neg.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(fma.f32 (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal 1/8 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))) (+.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (+.f32 (.f32 (neg.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(fma.f32 (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (+.f32 (.f32 (/.f32 #s(literal -1 binary32) v) (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v)))
(-.f32 (.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v))
(-.f32 (/.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal 1/8 binary32)) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))) (/.f32 (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))))
(-.f32 (/.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal 1/8 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))))
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(pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 v v) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (.f32 v v))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 v v) (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v v)) (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 v v) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (.f32 v v))))
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(/.f32 (/.f32 (.f32 cosTheta_O (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v v))
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(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v v)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 v v) (-.f32 (.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) #s(literal 1/8 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v))))) v) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))))
(.f32 (pow.f32 (/.f32 (.f32 v v) (-.f32 (.f32 (.f32 cosTheta_i cosTheta_i) #s(literal 1/4 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v) (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v)))))

simplify732.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5864×	`-lowering-.f32`
5864×	`-lowering-.f64`
2374×	`/-lowering-/.f32`
2374×	`/-lowering-/.f64`
2320×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1067	16583
1	3758	15433
0	8350	15433

Stop Event

1×	iter limit
1×	node limit

Counts

972 → 972

Calls

Call 1

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

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

eval191.0ms (0.9%)

Compiler: Compiled 70026 to 4495 computations (93.6% saved)

prune288.0ms (1.4%)

Pruning

59 alts after pruning (57 fresh and 2 done)

	Pruned	Kept	Total
New	1948	32	1980
Fresh	14	25	39
Picked	4	1	5
Done	0	1	1
Total	1966	59	2025

Accuracy

100.0%

Counts

2025 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (neg.f32 cosTheta_i))) (.f32 (/.f32 (neg.f32 v) cosTheta_O) (/.f32 v cosTheta_O))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	98.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	94.7%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
	98.1%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	97.5%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	98.3%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	63.3%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	69.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.3%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.0%	(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (/.f32 v #s(literal 1/2 binary32)) v)))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	69.8%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1/2 binary32) v)) (cosh.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
▶	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v))))
	98.4%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))))
	57.4%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
	98.6%	(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.8%	(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.8%	(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v cosTheta_i)) (/.f32 sinTheta_O cosTheta_i))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	95.2%	(/.f32 (/.f32 cosTheta_O (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)) #s(literal -1 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	93.1%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i v)))))
	58.0%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
	92.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (pow.f32 (.f32 v v) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
	93.3%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_O (*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i))))))
	55.9%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
	55.9%	(/.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))) (neg.f32 v))
▶	98.8%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)))
	57.5%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	51.3%	(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
✓	57.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	57.4%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	98.6%	(/.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
	57.4%	(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
▶	98.6%	(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	58.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
	98.1%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
▶	98.7%	(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) v))
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	69.8%	(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
	98.7%	(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
	57.4%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	98.6%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (.f32 sinTheta_O sinTheta_i))) v))) (*.f32 v v)))
	98.3%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
	57.4%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	98.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	57.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
✓	57.4%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	57.4%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	97.1%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) #s(literal -1 binary32))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
	57.4%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Compiler

Compiled 3148 to 2098 computations (33.4% saved)

simplify242.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5636×	`-lowering-.f32`
5636×	`-lowering-.f64`
3620×	`/-lowering-/.f32`
3620×	`/-lowering-/.f64`
1158×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	367
1	111	367
2	347	353
3	1450	352
4	5732	352
0	8291	352

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize285.0ms (1.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.1%	(/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.1%	(/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	99.1%	(/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.0%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
✓	accuracy	99.5%	(/.f32 v (*.f32 sinTheta_i sinTheta_O))
✓	accuracy	99.4%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
✓	accuracy	98.7%	(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.2%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.5%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.2%	(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓	accuracy	99.0%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.5%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

218.0ms

256×

valid

Compiler

Compiled 391 to 45 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 35.0ms (53.8% of total)

ival-mult: 15.0ms (23.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (6.2% of total)

ival-sub: 3.0ms (4.6% of total)

ival-sinh: 3.0ms (4.6% of total)

ival-exp: 2.0ms (3.1% of total)

ival-add: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series111.0ms (0.5%)

Counts

24 → 948

Calls

Call 1

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

Outputs
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (/ cosTheta_O v)>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 3 (* cosTheta_O (* cosTheta_i v))))>
#<alt (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))>
#<alt (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* v (- (* -18 (* cosTheta_O (* cosTheta_i v))) (* -18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* (pow v 2) (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))>
#<alt (* (pow v 2) (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))>
#<alt (* (pow v 2) (- (* v (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))>
#<alt (/ v cosTheta_i)>
#<alt (* v (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))>
#<alt (* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i (pow v 3)))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))))))>
#<alt (/ v cosTheta_i)>
#<alt (* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ 1 cosTheta_i))))>
#<alt (* -1 (* v (- (* -1 (/ (- (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))>
#<alt (* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i v))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v cosTheta_i)>
#<alt (+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))>
#<alt (+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_i v)) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_O 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))) (+ (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) sinTheta_i)>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_O)) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_O 3))))) sinTheta_i)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))>
#<alt (/ v cosTheta_i)>
#<alt (+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))>
#<alt (+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_i 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))) (+ (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) sinTheta_O)>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_i)) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4)))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_i 3))))) sinTheta_O)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
#<alt (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))>
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#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
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#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))>
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#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
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#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
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#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
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#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
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#<alt (* (pow v 3) (+ (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* -1 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))>
#<alt (* (pow v 3) (+ (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4))))) (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))))))>
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#<alt (* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 2 (/ (* sinTheta_O (* sinTheta_i (- (* 1/6 (/ 1 cosTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))))) (pow v 3))) (+ (* 2 (/ (- (* 1/6 (/ 1 cosTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))) (pow v 2))) (* 2 (/ 1 cosTheta_i))))))>
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#<alt (* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* 1/6 (/ 1 cosTheta_i)) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))) (* -2 (/ (* sinTheta_O (* sinTheta_i (+ (* 1/6 (/ 1 cosTheta_i)) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)))) v))) v)) (* 2 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (* 2 (/ 1 cosTheta_i)))))>
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#<alt (+ (* sinTheta_O (+ (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i) (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))>
#<alt (+ (* sinTheta_O (+ (* sinTheta_O (+ (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_i v)) (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))>
#<alt (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
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#<alt (/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))))) sinTheta_O)>
#<alt (/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) (+ (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* -1 (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))))) sinTheta_O)>
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#<alt (* -1 (/ (+ (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i)) (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_i 2)))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))))) sinTheta_O)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_i 2)))) (* -1 (/ (+ (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_i 3))) (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4))))) sinTheta_O))) sinTheta_O)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) sinTheta_O))>
#<alt (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (+ (/ (* 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))>
#<alt (+ (* sinTheta_i (+ (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i) (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))>
#<alt (+ (* sinTheta_i (+ (* sinTheta_i (+ (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i) (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_i v)))) (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))>
#<alt (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
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#<alt (/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))))) sinTheta_i)>
#<alt (/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) (+ (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* -1 (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))))) sinTheta_i)>
#<alt (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (/ (+ (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O)) (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_O 2)))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))))) sinTheta_i)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_O 2)))) (* -1 (/ (+ (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_O 3))) (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i)))) sinTheta_i))) sinTheta_i)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* (pow v 2) (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))>
#<alt (* (pow v 2) (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))>
#<alt (* (pow v 2) (- (* v (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))>
#<alt (/ v cosTheta_i)>
#<alt (* v (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))>
#<alt (* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i (pow v 3)))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))))))>
#<alt (/ v cosTheta_i)>
#<alt (* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ 1 cosTheta_i))))>
#<alt (* -1 (* v (- (* -1 (/ (- (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))>
#<alt (* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i v))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (/ v cosTheta_i)>
#<alt (+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))>
#<alt (+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_i 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))) (+ (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) sinTheta_O)>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_i)) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4)))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_i 3))))) sinTheta_O)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))>
#<alt (/ v cosTheta_i)>
#<alt (+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))>
#<alt (+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_i v)) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_O 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)>
#<alt (/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))) (+ (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) sinTheta_i)>
#<alt (* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_O)) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_O 3))))) sinTheta_i)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (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 (+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))>
#<alt (+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_i v))) (/ sinTheta_O cosTheta_i))) (/ v cosTheta_i))>
#<alt (+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_i (pow v 2)))) (* 1/2 (/ (pow sinTheta_O 2) (* cosTheta_i v))))) (/ sinTheta_O cosTheta_i))) (/ v cosTheta_i))>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ v cosTheta_i)>
#<alt (* v (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))>
#<alt (* v (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* v (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i (pow v 3)))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (/ v cosTheta_i)>
#<alt (* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ 1 cosTheta_i))))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i v))) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) v)) (/ 1 cosTheta_i))))>
#<alt (* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i v)))) v)) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) v)) (/ 1 cosTheta_i))))>
#<alt (/ v cosTheta_i)>
#<alt (+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))>
#<alt (+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_i v))) (/ sinTheta_i cosTheta_i))) (/ v cosTheta_i))>
#<alt (+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_i (pow v 2)))) (* 1/2 (/ (pow sinTheta_i 2) (* cosTheta_i v))))) (/ sinTheta_i cosTheta_i))) (/ v cosTheta_i))>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>
#<alt (/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)>

Calls

237 calls:

Time	Variable		Point	Expression
43.0ms	cosTheta_O	@	inf	(/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (+ 2 (/ 1/3 (* v v))))
4.0ms	cosTheta_O	@	-inf	(/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (+ 2 (/ 1/3 (* v v))))
4.0ms	v	@	inf	(/ (/ v (- cosTheta_i (* cosTheta_i (/ (* sinTheta_O sinTheta_i) v)))) (/ (/ 1/2 v) (sinh (/ 1 v))))
2.0ms	sinTheta_i	@	inf	(* (/ (/ cosTheta_O (sinh (/ 1 v))) (/ (exp (/ sinTheta_i (/ v sinTheta_O))) (/ cosTheta_i v))) (/ 1/2 v))
1.0ms	cosTheta_O	@	0	(/ (/ cosTheta_O (/ v (- cosTheta_i (/ cosTheta_i (/ v (* sinTheta_i sinTheta_O)))))) (+ 2 (/ 1/3 (* v v))))

rewrite418.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5444×	`/-lowering-/.f32`
5444×	`/-lowering-/.f64`
3800×	`-lowering-.f32`
3800×	`-lowering-.f64`
1822×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	245
1	297	244
2	2489	234
0	8079	234

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1209

Calls

Call 1

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

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

simplify642.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6492×	`-lowering-.f32`
6492×	`-lowering-.f64`
2800×	`/-lowering-/.f32`
2800×	`/-lowering-/.f64`
2640×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1025	17495
1	3825	16229
0	8396	16229

Stop Event

1×	iter limit
1×	node limit

Counts

948 → 948

Calls

Call 1

Inputs
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 3 (* cosTheta_O (* cosTheta_i v))))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))))))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* v (- (* -18 (* cosTheta_O (* cosTheta_i v))) (* -18 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* (pow v 2) (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* (pow v 2) (- (* v (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/ v cosTheta_i)
(* v (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i (pow v 3)))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))))))
(/ v cosTheta_i)
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ 1 cosTheta_i))))
(* -1 (* v (- (* -1 (/ (- (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i v))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v cosTheta_i)
(+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_i v)) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_O 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))) (+ (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) sinTheta_i)
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_O)) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_O 3))))) sinTheta_i)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))
(/ v cosTheta_i)
(+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_i 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))) (+ (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) sinTheta_O)
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_i)) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4)))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_i 3))))) sinTheta_O)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 3))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/12 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* (pow v 3) (+ (* -1 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* sinTheta_O sinTheta_i))))))
(* (pow v 3) (+ (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* -1 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))
(* (pow v 3) (+ (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (+ (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4))))) (* -1 (/ (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))))))
(* 2 (/ v cosTheta_i))
(* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* 2 (/ 1 cosTheta_i))))
(* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 2 (/ (- (* 1/6 (/ 1 cosTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))) (pow v 2))) (* 2 (/ 1 cosTheta_i)))))
(* v (+ (* 2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 2 (/ (* sinTheta_O (* sinTheta_i (- (* 1/6 (/ 1 cosTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))))) (pow v 3))) (+ (* 2 (/ (- (* 1/6 (/ 1 cosTheta_i)) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))) (pow v 2))) (* 2 (/ 1 cosTheta_i))))))
(* 2 (/ v cosTheta_i))
(* -1 (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* 2 (/ 1 cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* 2 (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (* 2 (/ (+ (* 1/6 (/ 1 cosTheta_i)) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) v))) v)) (* 2 (/ 1 cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* 1/6 (/ 1 cosTheta_i)) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i))) (* -2 (/ (* sinTheta_O (* sinTheta_i (+ (* 1/6 (/ 1 cosTheta_i)) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)))) v))) v)) (* 2 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (* 2 (/ 1 cosTheta_i)))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(+ (/ (* 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))
(+ (* sinTheta_O (+ (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i) (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_i v)) (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))) (/ (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))
(* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))))) sinTheta_O)
(/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) (+ (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* -1 (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))))) sinTheta_O)
(* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i)) (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_i 2)))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))))) sinTheta_O)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_i 2)))) (* -1 (/ (+ (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_i 3))) (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4))))) sinTheta_O))) sinTheta_O)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_i))) sinTheta_O))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(+ (/ (* 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))
(+ (* sinTheta_i (+ (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i) (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i) (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_i v)))) (/ (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) cosTheta_i))) (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i))
(* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))))) sinTheta_i)
(/ (+ (* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) (+ (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* -1 (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))))) sinTheta_i)
(* -1 (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O)) (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_O 2)))) (* -1 (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))))) sinTheta_i)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_O 2)))) (* -1 (/ (+ (/ (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (pow sinTheta_O 3))) (/ (* (pow v 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i)))) sinTheta_i))) sinTheta_i)) (/ (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_i sinTheta_O))) sinTheta_i))
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* (pow v 2) (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* (pow v 2) (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* (pow v 2) (- (* v (- (* v (- (* -1 (/ v (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (/ 1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/ v cosTheta_i)
(* v (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* v (- (+ (/ 1 cosTheta_i) (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i (pow v 3)))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))))))
(/ v cosTheta_i)
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ 1 cosTheta_i))))
(* -1 (* v (- (* -1 (/ (- (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i v))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) v)) (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) v)) (/ 1 cosTheta_i))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ v cosTheta_i)
(+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_i v)) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_i 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_i cosTheta_i)))) (/ v cosTheta_i))
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_i))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4)))))) (+ (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) sinTheta_O)
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_i)) (/ (pow v 3) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4)))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_i 3))))) sinTheta_O)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_i 2)))) sinTheta_O)) (/ (pow v 2) (* cosTheta_i sinTheta_i))) sinTheta_O))
(/ v cosTheta_i)
(+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_i v)) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_i (pow v 2))) (* -1 (/ (pow sinTheta_O 2) (* cosTheta_i v))))) (* -1 (/ sinTheta_O cosTheta_i)))) (/ v cosTheta_i))
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_i sinTheta_O))) (* -1 (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3)))))) (+ (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) sinTheta_i)
(* -1 (/ (pow v 2) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_i sinTheta_O)) (/ (pow v 3) (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)))) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i))) (* -1 (/ (pow v 4) (* cosTheta_i (pow sinTheta_O 3))))) sinTheta_i)) (/ (pow v 3) (* cosTheta_i (pow sinTheta_O 2)))) sinTheta_i)) (/ (pow v 2) (* cosTheta_i sinTheta_O))) sinTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 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 (/ (* 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 (/ (* 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)
(+ (* -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))))))))
(* 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 (/ (* 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 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O v)
(* v (+ cosTheta_O (* -1/6 (/ cosTheta_O (pow v 2)))))
(* v (- (+ cosTheta_O (* -1 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4)))) (* 1/6 (/ cosTheta_O (pow v 2)))))
(* v (- (+ cosTheta_O (* -1 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6)))) (+ (* -1/36 (/ cosTheta_O (pow v 4))) (+ (* 1/120 (/ cosTheta_O (pow v 4))) (* 1/6 (/ cosTheta_O (pow v 2)))))))
(* cosTheta_O v)
(* -1 (* v (+ (* -1 cosTheta_O) (* 1/6 (/ cosTheta_O (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4)))) (* -1/6 (/ cosTheta_O (pow v 2))))))
(* -1 (* v (- (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6)))) (+ (* -1/6 (/ cosTheta_O (pow v 2))) (+ (* -1/120 (/ cosTheta_O (pow v 4))) (* 1/36 (/ cosTheta_O (pow v 4))))))))
(* 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))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ v (* sinTheta_O sinTheta_i))
(/ 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)))))
(/ v cosTheta_i)
(+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_i v))) (/ sinTheta_O cosTheta_i))) (/ v cosTheta_i))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_i (pow v 2)))) (* 1/2 (/ (pow sinTheta_O 2) (* cosTheta_i v))))) (/ sinTheta_O cosTheta_i))) (/ v cosTheta_i))
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ v cosTheta_i)
(* v (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))
(* v (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* v (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i (pow v 3)))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i (pow v 2)))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(/ v cosTheta_i)
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ 1 cosTheta_i))))
(* -1 (* v (- (* -1 (/ (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_i v))) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) v)) (/ 1 cosTheta_i))))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) cosTheta_i)) (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_i v)))) v)) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) v)) (/ 1 cosTheta_i))))
(/ v cosTheta_i)
(+ (/ v cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_i v))) (/ sinTheta_i cosTheta_i))) (/ v cosTheta_i))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_i (pow v 2)))) (* 1/2 (/ (pow sinTheta_i 2) (* cosTheta_i v))))) (/ sinTheta_i cosTheta_i))) (/ v cosTheta_i))
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)
(/ (* v (exp (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)

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

eval270.0ms (1.3%)

Compiler: Compiled 66102 to 4755 computations (92.8% saved)

prune513.0ms (2.4%)

Pruning

88 alts after pruning (85 fresh and 3 done)

	Pruned	Kept	Total
New	2408	54	2462
Fresh	21	31	52
Picked	4	1	5
Done	0	2	2
Total	2433	88	2521

Accuracy

100.0%

Counts

2521 → 88

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	94.7%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
	63.4%	(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	63.3%	(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	58.3%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	98.1%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	98.3%	(/.f32 (/.f32 (.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	69.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
	98.5%	(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.0%	(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (/.f32 v #s(literal 1/2 binary32)) v)))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	69.8%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1/2 binary32) v)) (cosh.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v))))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	63.3%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	63.3%	(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	98.8%	(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v cosTheta_i)) (/.f32 sinTheta_O cosTheta_i))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
	63.4%	(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	95.2%	(/.f32 (/.f32 cosTheta_O (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)) #s(literal -1 binary32)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	93.1%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i v)))))
	58.0%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
	93.3%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_O (*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i))))))
	55.9%	(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
	69.8%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
	98.8%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
	98.7%	(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	57.5%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	63.4%	(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
	63.3%	(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	63.3%	(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	97.2%	(/.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	63.3%	(/.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓	57.4%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	98.5%	(/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	63.3%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
	57.4%	(/.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
	57.4%	(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
	69.8%	(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
	63.4%	(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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))))
	98.4%	(/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	63.4%	(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
	98.6%	(/.f32 cosTheta_O (/.f32 (.f32 (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(/.f32 cosTheta_O (/.f32 (.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
	98.6%	(/.f32 cosTheta_O (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal -1/2 binary32) v)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.5%	(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	94.7%	(/.f32 cosTheta_O (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
	58.0%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
	62.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
	98.1%	(.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) v))
	63.4%	(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v v))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	98.5%	(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 v cosTheta_i) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 cosTheta_i v)))))) (/.f32 #s(literal 1/2 binary32) v))
	98.5%	(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))))) (/.f32 #s(literal 1/2 binary32) v))
	98.6%	(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (.f32 v v)))))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) v))
	96.9%	(.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1/2 binary32) v))
	69.8%	(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
	63.3%	(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
	57.4%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	98.3%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
	63.3%	(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
	63.3%	(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
	57.4%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	98.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.6%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	63.3%	(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
	63.3%	(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
	57.4%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
✓	57.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
✓	57.4%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	51.3%	(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
	97.1%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) #s(literal -1 binary32))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
	57.4%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
	63.3%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
	63.4%	(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
	98.8%	(.f32 cosTheta_O (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

Compiler

Compiled 6198 to 2299 computations (62.9% saved)

regimes390.0ms (1.8%)

Counts

156 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

55.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
52.0ms	v
46.0ms	sinTheta_O
43.0ms	sinTheta_i
42.0ms	cosTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes369.0ms (1.7%)

Counts

136 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_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 cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) 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 (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_O (/.f32 (.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) 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 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 cosTheta_O (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal -1/2 binary32) v)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 cosTheta_O) (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 v (+.f32 (neg.f32 cosTheta_i) (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (neg.f32 cosTheta_O)) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v))))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v cosTheta_i)) (/.f32 sinTheta_O cosTheta_i))))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 v cosTheta_i) (.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O cosTheta_i) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 cosTheta_i v)))))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v))) (.f32 sinTheta_O sinTheta_i))) v))) (*.f32 v v)))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 cosTheta_i (/.f32 (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 #s(literal -1/2 binary32) v)))) v))) v))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (*.f32 v v)))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 cosTheta_i v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (.f32 v 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 sinTheta_O (.f32 cosTheta_i 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_O cosTheta_i) v) (.f32 sinTheta_i (-.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O))) (.f32 v (.f32 v v))) (.f32 #s(literal 1/2 binary32) sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_O (.f32 v v))))))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) #s(literal 1/3 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))))) v)) v)) v)) (*.f32 v 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 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (/.f32 (+.f32 (.f32 sinTheta_O (.f32 (.f32 (.f32 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) (.f32 sinTheta_i #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 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 cosTheta_i v))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 v #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (.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 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (/.f32 (/.f32 cosTheta_i (.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 (/.f32 v #s(literal 1/2 binary32)) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) cosTheta_i) (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 (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 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) 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 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (*.f32 v #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 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 v #s(literal 2 binary32))) (.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (.f32 cosTheta_O (*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 cosTheta_i))))))

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

Calls

8 calls:

51.0ms	cosTheta_O
50.0ms	cosTheta_i
50.0ms	v
43.0ms	sinTheta_i
40.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes260.0ms (1.2%)

Counts

116 → 1

Calls

Call 1

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

Calls

7 calls:

47.0ms	cosTheta_i
41.0ms	(*.f32 sinTheta_i sinTheta_O)
32.0ms	sinTheta_O
31.0ms	v
31.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes197.0ms (0.9%)

Counts

86 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_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 cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 cosTheta_O (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) 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 (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) v))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))))
(/.f32 cosTheta_O (.f32 (/.f32 v (.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_O (/.f32 (.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))) (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))

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

Calls

7 calls:

39.0ms	cosTheta_i
28.0ms	sinTheta_O
24.0ms	(*.f32 sinTheta_i sinTheta_O)
23.0ms	v
23.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes157.0ms (0.7%)

Counts

73 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_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 cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 #s(literal 1/2 binary32) v))

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

Calls

7 calls:

25.0ms	sinTheta_O
22.0ms	cosTheta_i
21.0ms	v
20.0ms	sinTheta_i
20.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`cosTheta_O`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes172.0ms (0.8%)

Counts

72 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_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 cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))

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

Calls

7 calls:

35.0ms	(*.f32 sinTheta_i sinTheta_O)
22.0ms	sinTheta_i
22.0ms	cosTheta_i
21.0ms	v
20.0ms	(*.f32 cosTheta_i cosTheta_O)

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta_i`
98.7%	1	`sinTheta_i`
98.7%	1	`sinTheta_O`
98.7%	1	`v`
98.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.7%	1	`cosTheta_O`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes167.0ms (0.8%)

Counts

68 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 cosTheta_O (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

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

Calls

7 calls:

31.0ms	sinTheta_O
25.0ms	v
21.0ms	(*.f32 cosTheta_i cosTheta_O)
20.0ms	sinTheta_i
19.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.5%	1	`cosTheta_i`
98.5%	1	`cosTheta_O`
98.5%	1	`sinTheta_i`
98.5%	1	`sinTheta_O`
98.5%	1	`v`
98.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.5%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes155.0ms (0.7%)

Counts

66 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 v v)))

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

Calls

7 calls:

20.0ms	cosTheta_i
19.0ms	cosTheta_O
18.0ms	sinTheta_O
18.0ms	v
18.0ms	sinTheta_i

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes183.0ms (0.9%)

Counts

65 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 #s(literal -1 binary32) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 (+.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (-.f32 (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (/.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i v)))) 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 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 (.f32 cosTheta_O cosTheta_i) (+.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 sinTheta_O (.f32 cosTheta_i sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 #s(literal -1 binary32) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)) v))) v)) (.f32 v v)))

Outputs

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

Calls

7 calls:

48.0ms	cosTheta_O
23.0ms	sinTheta_O
21.0ms	v
20.0ms	cosTheta_i
17.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
69.8%	1	`cosTheta_i`
69.8%	1	`sinTheta_i`
69.8%	1	`sinTheta_O`
69.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
69.8%	1	`cosTheta_O`
69.8%	1	`v`
69.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes154.0ms (0.7%)

Counts

57 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v 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 (/.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 #s(literal 2 binary32))))

Outputs

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

Calls

7 calls:

29.0ms	sinTheta_O
28.0ms	v
27.0ms	cosTheta_O
15.0ms	cosTheta_i
15.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
69.8%	1	`sinTheta_O`
69.8%	1	`v`
69.8%	1	`cosTheta_i`
69.8%	1	`cosTheta_O`
69.8%	1	`sinTheta_i`
69.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
69.8%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes169.0ms (0.8%)

Counts

56 → 1

Calls

Call 1

Inputs
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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_i cosTheta_O) #s(literal 1/2 binary32)) v)
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 #s(literal -3 binary32) cosTheta_O) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (.f32 (.f32 cosTheta_O #s(literal -1/2 binary32)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(/.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))) (neg.f32 v))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) v) v)) (neg.f32 v))
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) v)
(/.f32 (/.f32 cosTheta_O (+.f32 (/.f32 v cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 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 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (/.f32 cosTheta_O v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)))
(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 v cosTheta_O)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))))
(.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (/.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (/.f32 (.f32 cosTheta_i sinTheta_i) v))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (.f32 (neg.f32 cosTheta_O) (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
(/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_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 sinTheta_O (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O v)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (/.f32 cosTheta_i (/.f32 v (.f32 sinTheta_i sinTheta_O)))))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) v)) (neg.f32 v))
(.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (-.f32 #s(literal 4 binary32) (/.f32 #s(literal 1/9 binary32) (.f32 (.f32 v v) (.f32 v v))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))

Outputs

(/.f32 cosTheta_O (/.f32 (/.f32 v (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_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

7 calls:

37.0ms	cosTheta_i
27.0ms	(*.f32 sinTheta_i sinTheta_O)
17.0ms	sinTheta_O
16.0ms	sinTheta_i
16.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
63.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.4%	1	`cosTheta_i`
63.4%	1	`sinTheta_O`
63.4%	1	`cosTheta_O`
63.4%	1	`v`
63.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.4%	1	`sinTheta_i`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes104.0ms (0.5%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	cosTheta_i
15.0ms	v
15.0ms	sinTheta_O
15.0ms	cosTheta_O
13.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
63.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.4%	1	`cosTheta_i`
63.4%	1	`sinTheta_O`
63.4%	1	`cosTheta_O`
63.4%	1	`v`
63.4%	1	`sinTheta_i`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes74.0ms (0.3%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

7 calls:

21.0ms	sinTheta_O
10.0ms	cosTheta_i
9.0ms	cosTheta_O
8.0ms	v
8.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
63.3%	1	`sinTheta_i`
63.3%	1	`cosTheta_i`
63.3%	1	`v`
63.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
63.3%	1	`sinTheta_O`
63.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.3%	1	`cosTheta_O`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes56.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	cosTheta_O
6.0ms	sinTheta_O
6.0ms	cosTheta_i
5.0ms	sinTheta_i
5.0ms	v

Results

Accuracy	Segments	Branch
63.3%	1	`cosTheta_i`
63.3%	1	`cosTheta_O`
63.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
63.3%	1	`sinTheta_i`
63.3%	1	`sinTheta_O`
63.3%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes45.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

6 calls:

18.0ms	cosTheta_O
5.0ms	sinTheta_O
5.0ms	cosTheta_i
5.0ms	v
5.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
58.0%	1	`sinTheta_i`
58.0%	1	`sinTheta_O`
58.0%	1	`cosTheta_i`
58.0%	1	`cosTheta_O`
58.0%	1	`v`
58.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes54.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	v
5.0ms	cosTheta_i
5.0ms	sinTheta_O
5.0ms	sinTheta_i
5.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
58.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
58.0%	1	`sinTheta_i`
58.0%	1	`cosTheta_O`
58.0%	1	`sinTheta_O`
58.0%	1	`v`
58.0%	1	`cosTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes54.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	sinTheta_i
4.0ms	cosTheta_O
4.0ms	v
4.0ms	cosTheta_i
4.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
57.5%	1	`cosTheta_O`
57.5%	1	`sinTheta_i`
57.5%	1	`sinTheta_O`
57.5%	1	`cosTheta_i`
57.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.5%	1	`v`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes31.0ms (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_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_i) cosTheta_O)
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.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)

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

Calls

6 calls:

16.0ms	cosTheta_i
3.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	cosTheta_O
3.0ms	v

Results

Accuracy	Segments	Branch
57.4%	1	`sinTheta_i`
57.4%	1	`cosTheta_i`
57.4%	1	`sinTheta_O`
57.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
57.4%	1	`v`
57.4%	1	`cosTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes7.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	cosTheta_O
1.0ms	sinTheta_O
1.0ms	cosTheta_i
1.0ms	v
1.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
57.4%	1	`sinTheta_i`
57.4%	1	`sinTheta_O`
57.4%	1	`cosTheta_i`
57.4%	1	`v`
57.4%	1	`cosTheta_O`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

894×	`distribute-lft-neg-in_binary32`
640×	`unsub-neg_binary32`
568×	`neg-mul-1_binary32`
408×	`neg-sub0_binary32`
310×	`sub-neg_binary32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	107	332
1	162	330
2	204	330
3	273	328
4	364	328
5	464	328
6	570	328
7	824	328
8	1241	328
9	1720	327
10	2192	327
11	2521	327
12	2723	327
13	2816	327
14	2843	327
15	2849	327
16	2850	327

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.8s (18.2%)

Rules

7628×	`-lowering-.f32`
7628×	`-lowering-.f64`
6492×	`-lowering-.f32`
6492×	`-lowering-.f64`
5864×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	734	15039
1	2755	13971
0	9113	13971
0	19	21
1	56	21
2	187	19
3	775	19
4	3083	19
5	3829	19
6	5915	19
0	9137	19
0	44	245
1	297	244
2	2489	234
0	8079	234
0	1067	16583
1	3758	15433
0	8350	15433
0	18	55
1	74	55
2	507	55
3	6549	55
0	8061	55
0	1025	17495
1	3825	16229
0	8396	16229
0	349	3682
1	1260	3413
2	5582	3381
0	8089	3381
0	46	232
1	250	213
2	2183	210
0	8249	210
0	65	338
1	393	306
2	4174	297
0	8622	297

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 1686 to 1059 computations (37.2% saved)

preprocess909.0ms (4.3%)

Remove

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 6094 to 3682 computations (39.6% saved)

analyze1.5s (7.1%)

sample2.7s (12.8%)

preprocess305.0ms (1.4%)

explain186.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify236.0ms (1.1%)

localize77.0ms (0.4%)

series87.0ms (0.4%)

rewrite378.0ms (1.8%)

simplify360.0ms (1.7%)

eval75.0ms (0.4%)

prune208.0ms (1%)

simplify295.0ms (1.4%)

localize413.0ms (2%)

series125.0ms (0.6%)

rewrite414.0ms (2%)

simplify475.0ms (2.3%)

eval312.0ms (1.5%)

prune412.0ms (1.9%)

simplify287.0ms (1.4%)

localize395.0ms (1.9%)

series105.0ms (0.5%)

rewrite428.0ms (2%)

simplify732.0ms (3.5%)

eval191.0ms (0.9%)

prune288.0ms (1.4%)

simplify242.0ms (1.1%)

localize285.0ms (1.3%)

series111.0ms (0.5%)

rewrite418.0ms (2%)

simplify642.0ms (3%)

eval270.0ms (1.3%)

prune513.0ms (2.4%)

regimes390.0ms (1.8%)

regimes369.0ms (1.7%)

regimes260.0ms (1.2%)

regimes197.0ms (0.9%)

regimes157.0ms (0.7%)

regimes172.0ms (0.8%)

regimes167.0ms (0.8%)

regimes155.0ms (0.7%)

regimes183.0ms (0.9%)

regimes154.0ms (0.7%)

regimes169.0ms (0.8%)

regimes104.0ms (0.5%)

regimes74.0ms (0.3%)

regimes56.0ms (0.3%)

regimes45.0ms (0.2%)

regimes54.0ms (0.3%)

regimes54.0ms (0.3%)

regimes31.0ms (0.1%)

regimes7.0ms (0%)

simplify107.0ms (0.5%)

soundness3.8s (18.2%)

preprocess909.0ms (4.3%)

end0.0ms (0%)

Profiling