Metrics for HairBSDF, Mp, upper

analyze2.3s (5%)

Algorithm

1×

Search

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

Compiler

Compiled 66 to 41 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 342.0ms (24.3% of total)

ival-<=: 333.0ms (23.7% of total)

ival-div: 214.0ms (15.2% of total)

...c/correct-round.rkt:119:19: 184.0ms (13.1% of total)

ival-neg: 97.0ms (6.9% of total)

ival-and: 81.0ms (5.8% of total)

ival-sinh: 57.0ms (4.1% of total)

ival-exp: 55.0ms (3.9% of total)

ival-<: 30.0ms (2.1% of total)

const: 11.0ms (0.8% of total)

backward-pass: 2.0ms (0.1% of total)

sample5.9s (12.7%)

Results

4.6s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-<=: 893.0ms (24% of total)

ival-mult: 742.0ms (20% of total)

ival-div: 708.0ms (19% of total)

...c/correct-round.rkt:119:19: 569.0ms (15.3% of total)

ival-and: 230.0ms (6.2% of total)

ival-exp: 173.0ms (4.7% of total)

ival-sinh: 160.0ms (4.3% of total)

ival-<: 110.0ms (3% of total)

ival-neg: 96.0ms (2.6% of total)

const: 31.0ms (0.8% of total)

backward-pass: 5.0ms (0.1% of total)

Bogosity

preprocess707.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain430.0ms (0.9%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
2	(2.1119436602102086e-34 7.392321347068909e-13 -1.4107059964629798e-10 6.154075513076229e-12 0.21564063429832458)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
0	-	-	`cosTheta_O`
2	(4.731616950941735e-36 1.3758746856198521e-15 2.9133031897310454e-27 9.385103988321422e-20 0.19703061878681183)	-	`(/.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

233.0ms

512×

valid

Compiler

Compiled 223 to 59 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 44.0ms (41% of total)

ival-div: 36.0ms (33.6% of total)

ival-sinh: 11.0ms (10.3% of total)

ival-exp: 8.0ms (7.5% of total)

ival-neg: 6.0ms (5.6% of total)

const: 2.0ms (1.9% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.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)

simplify533.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize153.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.3%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

112.0ms

256×

valid

Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 23.0ms (46.5% of total)

ival-mult: 16.0ms (32.4% of total)

ival-sinh: 5.0ms (10.1% of total)

ival-exp: 4.0ms (8.1% of total)

const: 1.0ms (2% of total)

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

series189.0ms (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
22.0ms	v	@	inf	(/ (* sinTheta_i sinTheta_O) v)
17.0ms	sinTheta_O	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
12.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
10.0ms	v	@	inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
8.0ms	sinTheta_i	@	-inf	(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite724.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 650

Calls

Call 1

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

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

simplify843.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

eval234.0ms (0.5%)

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

prune494.0ms (1.1%)

Pruning

30 alts after pruning (30 fresh and 0 done)

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

Accuracy

99.8%

Counts

891 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.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)
	96.1%	(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 v cosTheta_i) cosTheta_O))
	98.5%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) #s(literal 2 binary32)))
	97.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
	98.8%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	66.8%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	98.4%	(/.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))))
	96.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
▶	98.7%	(/.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))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	94.6%	(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 v #s(literal 2 binary32))) (.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	92.1%	(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
	59.7%	(/.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))
	61.8%	(/.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)
	61.8%	(/.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))
	59.7%	(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
	95.7%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 #s(literal 2 binary32) (/.f32 (/.f32 v cosTheta_i) cosTheta_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))))
▶	61.8%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	94.4%	(.f32 (pow.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1/2 binary32)))
	95.7%	(.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))) (/.f32 #s(literal 1 binary32) v))
▶	98.6%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.7%	(.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
▶	98.3%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
	98.8%	(.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	98.8%	(.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))
▶	98.9%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	98.8%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 (.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))

Compiler

Compiled 1764 to 1152 computations (34.7% saved)

simplify676.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4620×	`/-lowering-/.f32`
4620×	`/-lowering-/.f64`
3744×	`-lowering-.f32`
3744×	`-lowering-.f64`
1804×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	385
1	124	381
2	457	369
3	2353	369
4	5697	369
0	8179	369

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize564.0ms (1.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.3%	(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	99.0%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.6%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	99.4%	(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.3%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.4%	(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	99.3%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	accuracy	99.1%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
✓	accuracy	97.4%	(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	99.3%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
✓	accuracy	99.5%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	98.9%	(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

374.0ms

256×

valid

Compiler

Compiled 407 to 44 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-div: 71.0ms (48.3% of total)

ival-mult: 58.0ms (39.5% of total)

ival-sinh: 5.0ms (3.4% of total)

ival-exp: 4.0ms (2.7% of total)

ival-sub: 3.0ms (2% of total)

ival-neg: 3.0ms (2% of total)

const: 2.0ms (1.4% of total)

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

series741.0ms (1.6%)

Counts

23 → 840

Calls

Call 1

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

Calls

210 calls:

Time	Variable		Point	Expression
372.0ms	v	@	-inf	(/ (/ (* cosTheta_i (/ cosTheta_O v)) (exp (/ sinTheta_i (/ v sinTheta_O)))) (sinh (/ 1 v)))
48.0ms	sinTheta_O	@	inf	(/ (/ (* cosTheta_i (/ cosTheta_O v)) (exp (/ sinTheta_i (/ v sinTheta_O)))) (sinh (/ 1 v)))
44.0ms	cosTheta_i	@	inf	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (* (sinh (/ 1 v)) (* v 2)))
13.0ms	sinTheta_i	@	0	(/ (/ (* cosTheta_i (/ cosTheta_O v)) (exp (/ sinTheta_i (/ v sinTheta_O)))) (sinh (/ 1 v)))
9.0ms	sinTheta_i	@	0	(/ (* cosTheta_i cosTheta_O) (* (exp (/ sinTheta_i (/ v sinTheta_O))) (sinh (/ 1 v))))

rewrite1.1s (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5296×	`/-lowering-/.f32`
5296×	`/-lowering-/.f64`
3510×	`-lowering-.f32`
3510×	`-lowering-.f64`
1568×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	237
1	238	225
2	2151	221
0	8447	221

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1801

Calls

Call 1

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

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

simplify1.2s (2.6%)

Algorithm

1×	egg-herbie

Rules

6284×	`-lowering-.f32`
6284×	`-lowering-.f64`
3394×	`+-lowering-+.f64`
3394×	`+-lowering-+.f32`
1898×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	772	16515
1	2959	15920
0	8441	15920

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

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

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 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 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 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))))))
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(/ (* 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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(/ (* 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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(/ (* 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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(/ (* 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)))))))
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(* 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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(* 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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(* 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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(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -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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(* -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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(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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))))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_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)))))))
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(* -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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(* -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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(* -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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(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (+ (* -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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(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 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 cosTheta_O (.f32 cosTheta_i (/.f32 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 cosTheta_O (.f32 cosTheta_i (/.f32 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 cosTheta_O (.f32 cosTheta_i (/.f32 sinTheta_i v)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 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 cosTheta_O (.f32 cosTheta_i (/.f32 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 cosTheta_O (.f32 cosTheta_i (/.f32 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 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 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))
(neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 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))
(neg.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))))
(* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))
(.f32 sinTheta_O (-.f32 (/.f32 cosTheta_i sinTheta_O) (.f32 cosTheta_i (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(neg.f32 (.f32 sinTheta_O (+.f32 (/.f32 cosTheta_i (neg.f32 sinTheta_O)) (.f32 cosTheta_i (/.f32 sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(neg.f32 (.f32 sinTheta_O (+.f32 (/.f32 cosTheta_i (neg.f32 sinTheta_O)) (.f32 cosTheta_i (/.f32 sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))
(neg.f32 (.f32 sinTheta_O (+.f32 (/.f32 cosTheta_i (neg.f32 sinTheta_O)) (.f32 cosTheta_i (/.f32 sinTheta_i v)))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 #s(literal 0 binary32) (.f32 cosTheta_i (.f32 sinTheta_O (/.f32 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 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 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 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(- (+ (* -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))
(+.f32 (/.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 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))) (neg.f32 (.f32 v v))) (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 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)))))
(-.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/6 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) (.f32 (.f32 sinTheta_O sinTheta_i) (-.f32 (.f32 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 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)))))) (.f32 v (.f32 v v)))) (-.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.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 v v))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i))) (*.f32 v v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v)) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 (-.f32 (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 #s(literal 1/6 binary32) (+.f32 (.f32 sinTheta_O sinTheta_i) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))))))) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 cosTheta_O (+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_i (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))))) v)) v)) v))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) 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))))))))
(+.f32 (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ (* cosTheta_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))))))))))
(+.f32 (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O 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 #s(literal -2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) 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))))))))))
(+.f32 (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (neg.f32 (+.f32 (.f32 sinTheta_i (-.f32 (-.f32 (.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 sinTheta_O (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_O)) (.f32 v (.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O 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 #s(literal -2 binary32) (/.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) 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))))))))
(+.f32 (.f32 #s(literal 2 binary32) (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
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(* cosTheta_O (* cosTheta_i v))
(.f32 cosTheta_O (.f32 cosTheta_i v))
(* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)))
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(* 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))))))
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(* cosTheta_O (* cosTheta_i v))
(.f32 cosTheta_O (.f32 cosTheta_i v))
(* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
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(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))

eval806.0ms (1.7%)

Compiler: Compiled 75290 to 4185 computations (94.4% saved)

prune904.0ms (2%)

Pruning

49 alts after pruning (48 fresh and 1 done)

	Pruned	Kept	Total
New	2868	44	2912
Fresh	21	4	25
Picked	4	1	5
Done	0	0	0
Total	2893	49	2942

Accuracy

99.9%

Counts

2942 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.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)
	98.6%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)) (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
	97.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
	95.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
▶	96.0%	(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
▶	96.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	98.5%	(/.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))
▶	98.9%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
	98.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	66.8%	(/.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))))
	72.1%	(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
▶	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	61.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.8%	(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.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 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
	98.9%	(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v)))
	61.8%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	98.6%	(/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (.f32 v v)))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	61.8%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	61.8%	(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
	98.8%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))) (neg.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v))))
	92.1%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)))) #s(literal -1 binary32))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	61.8%	(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O))))
	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)) (.f32 cosTheta_O (-.f32 #s(literal 0 binary32) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))))
	62.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
	98.7%	(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	61.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
	95.6%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O))) #s(literal -1 binary32)))
	98.6%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.8%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)))
	98.8%	(.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
	98.6%	(.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) v))
	98.8%	(.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 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v))
	98.6%	(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	61.8%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	62.5%	(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
	98.4%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	61.8%	(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
	61.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
	98.8%	(.f32 (.f32 cosTheta_O (-.f32 #s(literal 0 binary32) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
▶	61.8%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	61.8%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
	98.7%	(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (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))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	98.6%	(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))

Compiler

Compiled 2460 to 1663 computations (32.4% saved)

simplify628.0ms (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 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
✓	cost-diff	0	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	0	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
✓	cost-diff	0	(.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	cost-diff	128	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32)))
✓	cost-diff	128	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	cost-diff	0	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)
✓	cost-diff	0	(-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))
✓	cost-diff	0	(/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	0	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))

Rules

6602×	`-lowering-.f32`
6602×	`-lowering-.f64`
4230×	`/-lowering-/.f32`
4230×	`/-lowering-/.f64`
1320×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	386
1	122	386
2	372	376
3	1634	368
4	7892	368
0	8114	368

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize694.0ms (1.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	96.7%	(/.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 cosTheta_i (/.f32 cosTheta_O v))))
✓	accuracy	99.7%	(/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)))
✓	accuracy	98.9%	(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	96.7%	(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	accuracy	99.1%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
✓	accuracy	99.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32)))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 cosTheta_i v)
✓	accuracy	100.0%	(*.f32 cosTheta_O #s(literal 1/2 binary32))
✓	accuracy	99.6%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
✓	accuracy	99.6%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
✓	accuracy	99.2%	(/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.1%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

508.0ms

256×

valid

Compiler

Compiled 405 to 47 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-div: 98.0ms (54.5% of total)

ival-mult: 54.0ms (30% of total)

...c/correct-round.rkt:119:19: 7.0ms (3.9% of total)

ival-sub: 6.0ms (3.3% of total)

ival-sinh: 6.0ms (3.3% of total)

ival-exp: 5.0ms (2.8% of total)

ival-add: 3.0ms (1.7% of total)

const: 1.0ms (0.6% of total)

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

series164.0ms (0.4%)

Counts

21 → 756

Calls

Call 1

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

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

189 calls:

Time	Variable		Point	Expression
21.0ms	sinTheta_O	@	-inf	(/ (/ v cosTheta_O) (- cosTheta_i (/ (* cosTheta_i (* sinTheta_i sinTheta_O)) v)))
5.0ms	cosTheta_O	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (* (/ (+ 1 (/ 1/6 (* v v))) v) (* v 2)))
4.0ms	sinTheta_i	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (* (/ (+ 1 (/ 1/6 (* v v))) v) (* v 2)))
4.0ms	sinTheta_O	@	-inf	(/ (- cosTheta_i (/ (* cosTheta_i (* sinTheta_i sinTheta_O)) v)) (/ (sinh (/ 1 v)) (/ 1/2 v)))
4.0ms	cosTheta_i	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (* (/ (+ 1 (/ 1/6 (* v v))) v) (* v 2)))

rewrite985.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

5386×	`/-lowering-/.f32`
5386×	`/-lowering-/.f64`
4524×	`-lowering-.f32`
4524×	`-lowering-.f64`
1780×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	224
1	283	221
2	2415	209
0	8565	209

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1118

Calls

Call 1

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

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

simplify1.1s (2.3%)

Algorithm

1×	egg-herbie

Rules

8310×	`-lowering-.f32`
8310×	`-lowering-.f64`
2650×	`+-lowering-+.f64`
2650×	`+-lowering-+.f32`
1940×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	735	13107
1	2626	12583
0	8624	12583

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

Inputs
(/ (* 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)))))))))
(* -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 (/ (* 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_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (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)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* 1/12 (/ cosTheta_i v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 cosTheta_i) (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(* 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_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)))))
(* -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 (* 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)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(* 1/2 cosTheta_O)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 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) (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))
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (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)
(/ (* 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)))))
(* -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 (/ (* 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))
(* -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 (/ (* 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_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)))))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 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)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) 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)))))
(* 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)))))
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(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* (pow v 2) (- (* -1 (/ v (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (/ 1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
(* (pow v 2) (- (* v (- (* -1 (/ v (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (/ 1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (/ 1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
(* (pow v 2) (- (* v (- (* v (- (* -1 (/ v (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 4)))))) (/ 1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (/ 1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (/ 1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
(/ v (* cosTheta_O cosTheta_i))
(* v (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))))
(* v (- (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v))))))
(* v (- (+ (/ 1 (* cosTheta_O cosTheta_i)) (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 3))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i (pow v 2))))))))
(/ v (* cosTheta_O cosTheta_i))
(* -1 (* v (- (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O (* cosTheta_i v)))) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (- (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v))) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))) v)) (/ 1 (* cosTheta_O cosTheta_i)))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i v)))) (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (* cosTheta_O cosTheta_i))) v)) (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))) v)) (/ 1 (* cosTheta_O cosTheta_i)))))
(/ 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 (* 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 (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_O (* cosTheta_i v))) (* -1 (/ sinTheta_O (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -1 (/ (pow sinTheta_O 2) (* cosTheta_O (* cosTheta_i v)))))) (* -1 (/ sinTheta_O (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1 (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1 (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3))))))) (+ (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))))) sinTheta_i)
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))) sinTheta_i)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i)))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3)))))) sinTheta_i)) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))) sinTheta_i)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i))
(/ v (* cosTheta_O cosTheta_i))
(+ (/ v (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v))) (* -1 (/ sinTheta_i (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -1 (/ (pow sinTheta_i 2) (* cosTheta_O (* cosTheta_i v)))))) (* -1 (/ sinTheta_i (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1 (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1 (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4))))))) (+ (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))))) sinTheta_O)
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))) sinTheta_O)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4))))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3)))))) sinTheta_O)) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))) sinTheta_O)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_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 (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
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(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(neg.f32 (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.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_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O v))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 sinTheta_O v))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(neg.f32 (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) (-.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_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) (-.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_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/.f32 (-.f32 (/.f32 (.f32 cosTheta_i v) (-.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_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (.f32 v v))
(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.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)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (+.f32 (/.f32 (.f32 cosTheta_i #s(literal -1/12 binary32)) (.f32 v v)) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i))))
(+.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (+.f32 (/.f32 (.f32 cosTheta_i #s(literal -1/12 binary32)) (.f32 v v)) (+.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 v (*.f32 v v))))))
(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.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)))
(+ (* -1 (/ (+ (* 1/12 (/ cosTheta_i v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (+.f32 (/.f32 (.f32 #s(literal 1/12 binary32) cosTheta_i) v) (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 cosTheta_i) (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(-.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (-.f32 (.f32 cosTheta_i (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (.f32 cosTheta_i #s(literal -1/12 binary32)) (.f32 #s(literal 1/12 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v)) 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 (/ (* 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)))
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 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i sinTheta_O) v)))
(* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))
(.f32 sinTheta_i (-.f32 (/.f32 cosTheta_i sinTheta_i) (/.f32 (.f32 cosTheta_i 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 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i sinTheta_O) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))
(.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i sinTheta_i)) (/.f32 (.f32 cosTheta_i 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 cosTheta_i (neg.f32 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 cosTheta_i (neg.f32 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 cosTheta_i (neg.f32 sinTheta_O)) (/.f32 (.f32 cosTheta_i sinTheta_i) v)) (neg.f32 sinTheta_O))
(* -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 (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)
(/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
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(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
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(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
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(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_O (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 sinTheta_O (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
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(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
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(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 sinTheta_O (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 sinTheta_O (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (neg.f32 sinTheta_O))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+.f32 (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 sinTheta_i v)))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 sinTheta_i v)))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 sinTheta_i (+.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) (/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 sinTheta_i v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 sinTheta_i v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i sinTheta_O)) cosTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 sinTheta_i v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i sinTheta_O)) cosTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(.f32 (+.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (.f32 sinTheta_i v))) (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i sinTheta_O)) cosTheta_O) (.f32 (.f32 v v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))) (neg.f32 sinTheta_i))
(* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 3 (* cosTheta_O (* cosTheta_i v))))
(+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32)) (.f32 #s(literal 3 binary32) (.f32 cosTheta_O (*.f32 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))))))))
(+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (.f32 sinTheta_O v)) #s(literal 18 binary32))))))
(+ (* -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)))))))))
(+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32)) (.f32 v (+.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 3 binary32))) (.f32 v (+.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) #s(literal -18 binary32)) (.f32 cosTheta_O (.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal 18 binary32))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) 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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) v) (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O 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 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) v) (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v (*.f32 v v)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #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 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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) 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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (/.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/12 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/12 binary32))) v)) v)) (neg.f32 v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v 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 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
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(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(.f32 sinTheta_O (-.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_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 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_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 (.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_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)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))
(neg.f32 (.f32 sinTheta_O (-.f32 (/.f32 (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) 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))
(* -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 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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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 cosTheta_O (.f32 cosTheta_i (*.f32 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 sinTheta_i (.f32 cosTheta_O cosTheta_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 sinTheta_i (.f32 cosTheta_O cosTheta_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 sinTheta_i (.f32 cosTheta_O cosTheta_i)) v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 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 sinTheta_i (.f32 cosTheta_O cosTheta_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 sinTheta_i (.f32 cosTheta_O cosTheta_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 sinTheta_i (.f32 cosTheta_O cosTheta_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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 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 cosTheta_O (.f32 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 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v)))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(-.f32 #s(literal 0 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 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 cosTheta_O (.f32 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 cosTheta_O (.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 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 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(.f32 cosTheta_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) v) (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))) 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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) v) (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O 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 (.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) v) (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)))) (/.f32 (.f32 #s(literal 1/12 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (.f32 v (*.f32 v v)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #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 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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) 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 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) sinTheta_O) sinTheta_i) (/.f32 (+.f32 (.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/12 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/12 binary32))) v)) v)) (neg.f32 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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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_i (.f32 cosTheta_O (-.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 (.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_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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) sinTheta_i))) (/.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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) sinTheta_i))) (/.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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (.f32 v v) sinTheta_i))) (/.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)))))))))
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(* -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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(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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)))))
(/.f32 (/.f32 v 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))))))
(/.f32 (/.f32 v 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))))))
(/.f32 (/.f32 v 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))))))
(/.f32 (/.f32 v 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))))))
(/.f32 (/.f32 v cosTheta_O) (.f32 cosTheta_i (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))
(/ v (* cosTheta_O cosTheta_i))
(/.f32 v (*.f32 cosTheta_O cosTheta_i))
(+ (/ v (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))
(+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) sinTheta_i) (* cosTheta_O (* cosTheta_i v))) (* -1 (/ sinTheta_O (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_i (+.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 sinTheta_O (*.f32 cosTheta_O cosTheta_i)))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) sinTheta_i) (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -1 (/ (pow sinTheta_O 2) (* cosTheta_O (* cosTheta_i v)))))) (* -1 (/ sinTheta_O (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_i (+.f32 (.f32 sinTheta_i (+.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) v)) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_O (.f32 cosTheta_i v))))) (/.f32 sinTheta_O (*.f32 cosTheta_O cosTheta_i)))))
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1 (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))))) sinTheta_i)
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)))) (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 2))))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)))) (/.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_i))))))) (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) (* -1 (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 4) (pow sinTheta_i 3))))))) (+ (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))) (/ (pow v 4) (* cosTheta_O (* 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_O (.f32 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 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) cosTheta_O)))) (+.f32 (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_i)) (/.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))))))) sinTheta_i)
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i))
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)))) (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))) sinTheta_i)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i))
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 4 binary32))) (.f32 cosTheta_O (.f32 sinTheta_i (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))))) (/.f32 (.f32 v (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))))) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 4) sinTheta_i)))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3)))))) sinTheta_i)) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))) sinTheta_i)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_O)))) sinTheta_i))
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (pow.f32 v #s(literal 5 binary32)) (.f32 cosTheta_O (.f32 sinTheta_i (.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) cosTheta_i)))) (/.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_O))) (neg.f32 sinTheta_i)) (/.f32 (.f32 v (.f32 v v)) (.f32 cosTheta_O (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))))) sinTheta_i)) (neg.f32 sinTheta_i))
(/ v (* cosTheta_O cosTheta_i))
(/.f32 v (*.f32 cosTheta_O cosTheta_i))
(+ (/ v (* cosTheta_O cosTheta_i)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O cosTheta_i)))
(+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(+ (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 2)) (* cosTheta_O (* cosTheta_i v))) (* -1 (/ sinTheta_i (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O (+.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i sinTheta_i)) (.f32 cosTheta_O (.f32 cosTheta_i v))) (/.f32 sinTheta_i (*.f32 cosTheta_O cosTheta_i)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (pow sinTheta_i 3)) (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -1 (/ (pow sinTheta_i 2) (* cosTheta_O (* cosTheta_i v)))))) (* -1 (/ sinTheta_i (* cosTheta_O cosTheta_i))))) (/ v (* cosTheta_O cosTheta_i)))
(+.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i)) (.f32 sinTheta_O (+.f32 (.f32 sinTheta_O (+.f32 (/.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) v)) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 cosTheta_O (.f32 cosTheta_i v))))) (/.f32 sinTheta_i (*.f32 cosTheta_O cosTheta_i)))))
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))
(/ (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1 (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))))) sinTheta_O)
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) sinTheta_O))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))))) (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) sinTheta_O))) sinTheta_O)
(/ (- (+ (* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) (* -1 (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 4))))))) (+ (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))) (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 3))))))) sinTheta_O)
(/.f32 (-.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 (pow.f32 v #s(literal 5 binary32)) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 (pow.f32 sinTheta_i #s(literal 4 binary32)) cosTheta_O)))) (+.f32 (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) sinTheta_O)) (/.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_O (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))))) sinTheta_O)
(* -1 (/ (pow v 2) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
(/.f32 (.f32 v v) (-.f32 #s(literal 0 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))
(* -1 (/ (+ (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O))
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 #s(literal -1 binary32) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i)))) (/.f32 (.f32 v (.f32 v v)) (.f32 (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)) sinTheta_O))) sinTheta_O)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))))) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))) sinTheta_O)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O))
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1 binary32) (pow.f32 v #s(literal 4 binary32))) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) (/.f32 (.f32 v (.f32 v v)) (.f32 cosTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O)))) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow v 5) (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 4))))) (* -1 (/ (pow v 4) (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3)))))) sinTheta_O)) (/ (pow v 3) (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))) sinTheta_O)) (/ (pow v 2) (* cosTheta_O (* cosTheta_i sinTheta_i)))) sinTheta_O))
(/.f32 (-.f32 (/.f32 (.f32 v v) (.f32 sinTheta_i (.f32 cosTheta_O cosTheta_i))) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (pow.f32 v #s(literal 5 binary32)) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (pow.f32 sinTheta_i #s(literal 4 binary32)) cosTheta_O))) (/.f32 (pow.f32 v #s(literal 4 binary32)) (.f32 cosTheta_i (.f32 cosTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) (neg.f32 sinTheta_O)) (/.f32 (.f32 v (.f32 v v)) (.f32 cosTheta_i (.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_O)))) sinTheta_O)) (neg.f32 sinTheta_O))
(/ (* 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)

eval590.0ms (1.3%)

Compiler: Compiled 61998 to 3984 computations (93.6% saved)

prune893.0ms (1.9%)

Pruning

83 alts after pruning (80 fresh and 3 done)

	Pruned	Kept	Total
New	2130	61	2191
Fresh	24	19	43
Picked	3	2	5
Done	0	1	1
Total	2157	83	2240

Accuracy

99.9%

Counts

2240 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
	66.8%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
	66.8%	(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
▶	98.9%	(/.f32 (/.f32 (/.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 v cosTheta_O))
	97.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (pow.f32 (E.f32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))))
	95.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	70.8%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
	95.9%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
	96.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 cosTheta_O v)))
✓	96.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
	95.9%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
	12.2%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 (/.f32 v cosTheta_O) (-.f32 (.f32 cosTheta_i (.f32 cosTheta_i cosTheta_i)) (.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 v (.f32 sinTheta_i sinTheta_O)) cosTheta_i))))) (+.f32 (.f32 cosTheta_i cosTheta_i) (.f32 (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (+.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))))
	96.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
	92.1%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
	66.8%	(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
	72.2%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
	66.8%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
	66.8%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
	98.7%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
	66.8%	(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
	66.8%	(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
▶	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
	98.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
▶	66.8%	(/.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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
	72.1%	(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v v))) (.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) v) (*.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))) (*.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	98.8%	(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
▶	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
	94.6%	(/.f32 (/.f32 #s(literal -1/2 binary32) v) (.f32 (/.f32 v (.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	66.8%	(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	98.9%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
	61.8%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	66.8%	(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
✓	61.8%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	61.8%	(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
	66.7%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
	61.8%	(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
	95.2%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) #s(literal -1 binary32))) (/.f32 v cosTheta_O))
	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O))))
	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)) (.f32 cosTheta_O (-.f32 #s(literal 0 binary32) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))))
	66.3%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
	62.3%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
	98.8%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O))
	98.8%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (neg.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
	98.9%	(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v)) (neg.f32 cosTheta_O))
	66.8%	(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	61.8%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
	98.8%	(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
	98.8%	(.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
	66.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
	98.9%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
	66.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
	98.9%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) cosTheta_O)))
	66.8%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
	66.8%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
	66.8%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
	66.8%	(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
	66.8%	(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
	61.8%	(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
	66.8%	(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
	61.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	98.8%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v))
	98.7%	(.f32 (.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	66.8%	(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
	61.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
	56.0%	(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
✓	61.8%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	61.8%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	61.8%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
	66.8%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
	98.6%	(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))
▶	61.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))

Compiler

Compiled 4544 to 2998 computations (34% saved)

simplify565.0ms (1.2%)

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 #s(literal 1/2 binary32) v))
✓	cost-diff	0	(/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	cost-diff	0	(/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))
✓	cost-diff	128	(/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))
✓	cost-diff	256	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))))
✓	cost-diff	256	(/.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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
✓	cost-diff	0	(-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))
✓	cost-diff	0	(.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	cost-diff	128	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
✓	cost-diff	0	(/.f32 v cosTheta_O)
✓	cost-diff	0	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	cost-diff	0	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
✓	cost-diff	0	(.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i)))
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v)
✓	cost-diff	0	(/.f32 (/.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)))
✓	cost-diff	0	(/.f32 (/.f32 (/.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 v cosTheta_O))

Rules

4642×	`/-lowering-/.f32`
4642×	`/-lowering-/.f64`
3508×	`-lowering-.f32`
3508×	`-lowering-.f64`
1446×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	442
1	127	438
2	392	407
3	1716	399
4	5975	395
0	8171	395

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize608.0ms (1.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
✓	accuracy	99.2%	(/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓	accuracy	99.1%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))))
✓	accuracy	99.1%	(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))
✓	accuracy	98.8%	(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
✓	accuracy	99.5%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
✓	accuracy	99.3%	(/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓	accuracy	99.1%	(+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32))))
✓	accuracy	99.0%	(/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v))
✓	accuracy	100.0%	(/.f32 v cosTheta_O)
✓	accuracy	99.9%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
✓	accuracy	99.7%	(/.f32 cosTheta_i (/.f32 v cosTheta_O))
✓	accuracy	99.5%	(/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v)
✓	accuracy	99.2%	(/.f32 (/.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)))
✓	accuracy	99.1%	(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	97.4%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Results

406.0ms

256×

valid

Compiler

Compiled 460 to 49 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-div: 89.0ms (48.9% of total)

ival-mult: 54.0ms (29.6% of total)

ival-sub: 13.0ms (7.1% of total)

...c/correct-round.rkt:119:19: 13.0ms (7.1% of total)

ival-add: 6.0ms (3.3% of total)

ival-sinh: 5.0ms (2.7% of total)

const: 1.0ms (0.5% of total)

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

series172.0ms (0.4%)

Counts

22 → 768

Calls

Call 1

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

Outputs
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (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))>
#<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) (* (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 (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))>
#<alt (/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))>
#<alt (/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (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_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1 (/ (+ (* 1/12 (/ cosTheta_i v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 cosTheta_i) (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) v)>
#<alt (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) v)>
#<alt (/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) 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_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* 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 (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (/ cosTheta_i sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (/ cosTheta_i sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (/ cosTheta_i sinTheta_i)))>
#<alt (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i sinTheta_i)) (/ (* cosTheta_i sinTheta_O) v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i sinTheta_i)) (/ (* cosTheta_i sinTheta_O) v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i sinTheta_i)) (/ (* cosTheta_i sinTheta_O) v))))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))>
#<alt (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))>
#<alt (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))>
#<alt (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))>
#<alt (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))>
#<alt (* cosTheta_i v)>
#<alt (* v (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))>
#<alt (* v (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))>
#<alt (* v (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))>
#<alt (* cosTheta_i v)>
#<alt (* -1 (* v (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))>
#<alt (* -1 (* v (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))>
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#<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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* 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))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<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 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (* 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))>
#<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 (* 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)>
#<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)>
#<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_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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 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) (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 (/ 1/3 (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (* 3 (pow v 2))>
#<alt (* (pow v 2) (+ 3 (* -18 (pow v 2))))>
#<alt (* (pow v 2) (+ 3 (* (pow v 2) (- (* 108 (pow v 2)) 18))))>
#<alt (* (pow v 2) (+ 3 (* (pow v 2) (- (* (pow v 2) (+ 108 (* -648 (pow v 2)))) 18))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))))>
#<alt (/ 1/3 v)>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) v)>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) v)>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) v)>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<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_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) (* (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 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 cosTheta_O)>
#<alt (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))>
#<alt (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))>
#<alt (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))>
#<alt (* 1/2 cosTheta_O)>
#<alt (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))>
#<alt (+ (* -1/12 (/ cosTheta_O (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4)))))>
#<alt (+ (* -1/12 (/ cosTheta_O (pow v 2))) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))))))>
#<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 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt 1/3>
#<alt (+ 1/3 (* 2 (pow v 2)))>
#<alt (+ 1/3 (* 2 (pow v 2)))>
#<alt (+ 1/3 (* 2 (pow v 2)))>
#<alt (* 2 (pow v 2))>
#<alt (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* 2 (pow v 2))>
#<alt (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>
#<alt (/ 1/6 (pow v 2))>

Calls

192 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta_i	@	-inf	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (/ (+ 1/3 (* v (* v 2))) (* v v)))
6.0ms	cosTheta_i	@	0	(/ (/ (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v) (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ v cosTheta_O))
5.0ms	cosTheta_O	@	0	(/ (/ (/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v) (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ v cosTheta_O))
4.0ms	cosTheta_O	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (/ (+ 1/3 (* v (* v 2))) (* v v)))
3.0ms	cosTheta_i	@	0	(/ (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v) (/ (+ 1/3 (* v (* v 2))) (* v v)))

rewrite937.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

5368×	`/-lowering-/.f32`
5368×	`/-lowering-/.f64`
4662×	`-lowering-.f32`
4662×	`-lowering-.f64`
1872×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	256
1	315	247
2	2702	233
0	9243	233

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 930

Calls

Call 1

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

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

simplify936.0ms (2%)

Algorithm

1×	egg-herbie

Rules

5936×	`-lowering-.f32`
5936×	`-lowering-.f64`
2098×	`/-lowering-/.f32`
2098×	`/-lowering-/.f64`
1632×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	524	11982
1	1880	11405
2	7127	11368
0	8145	11368

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 768

Calls

Call 1

Inputs
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (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_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 (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (- v (* sinTheta_O sinTheta_i)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_i v) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (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)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 3))) (* 1/2 cosTheta_i))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* 1/12 (/ cosTheta_i v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 cosTheta_i) (* 1/12 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i (* sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i (* sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_i (- v (* sinTheta_O sinTheta_i))) v)
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) v)
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) v)
(/ (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v)) 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_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (/ cosTheta_i sinTheta_O)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* cosTheta_i sinTheta_i) v))))
(* -1 (* sinTheta_O (+ (* -1 (/ cosTheta_i sinTheta_O)) (/ (* 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 (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (/ cosTheta_i sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (/ cosTheta_i sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (/ cosTheta_i sinTheta_i)))
(* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i sinTheta_i)) (/ (* cosTheta_i sinTheta_O) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i sinTheta_i)) (/ (* cosTheta_i sinTheta_O) v))))
(* -1 (* sinTheta_i (+ (* -1 (/ cosTheta_i sinTheta_i)) (/ (* cosTheta_i sinTheta_O) v))))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* cosTheta_i (- v (* sinTheta_O sinTheta_i)))
(* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(* cosTheta_i v)
(* v (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* v (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* v (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* cosTheta_i v)
(* -1 (* v (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* -1 (* v (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* -1 (* v (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* cosTheta_i v)
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (/ (* cosTheta_i v) sinTheta_O)))
(* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (/ (* cosTheta_i v) sinTheta_O)))
(* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (/ (* cosTheta_i v) sinTheta_O)))
(* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i v) sinTheta_O)) (* cosTheta_i sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i v) sinTheta_O)) (* cosTheta_i sinTheta_i))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i v) sinTheta_O)) (* cosTheta_i sinTheta_i))))
(* cosTheta_i v)
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* cosTheta_i v))
(* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_i sinTheta_O)) (/ (* cosTheta_i v) sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_i sinTheta_O)) (/ (* cosTheta_i v) sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_i sinTheta_O)) (/ (* cosTheta_i v) sinTheta_i)))
(* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i v) sinTheta_i)) (* cosTheta_i sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i v) sinTheta_i)) (* cosTheta_i sinTheta_O))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i v) sinTheta_i)) (* cosTheta_i sinTheta_O))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O 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) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ 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_O)
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* v (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (- 1 (/ (* sinTheta_O sinTheta_i) v))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i (* v (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1/3 (* 2 (pow v 2))))
(/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (+ 1/3 (* 2 (pow v 2)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (+ 1/3 (* 2 (pow v 2)))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2)))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (+ 1/3 (* 2 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (+ 1/3 (* 2 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_O (+ 1/3 (* 2 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (+ 1/3 (* 2 (pow v 2)))))))
(/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (+ 1/3 (* 2 (pow v 2)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2)))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_i (+ 1/3 (* 2 (pow v 2)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_i (+ 1/3 (* 2 (pow v 2)))))))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (+ 1/3 (* 2 (pow v 2))))) (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_i (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (+ 1/3 (* 2 (pow v 2)))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_i (+ 1/3 (* 2 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_i (+ 1/3 (* 2 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (+ 1/3 (* 2 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i v)) (* sinTheta_i (+ 1/3 (* 2 (pow v 2)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (+ 1/3 (* 2 (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 (/ (* 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)
(/ (* 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)))))
(* -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 (/ (* 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_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 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2)))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 1 (pow v 2))))))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 1 (* 1/6 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 1 (* 1/6 (/ 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) (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))
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(* 3 (pow v 2))
(* (pow v 2) (+ 3 (* -18 (pow v 2))))
(* (pow v 2) (+ 3 (* (pow v 2) (- (* 108 (pow v 2)) 18))))
(* (pow v 2) (+ 3 (* (pow v 2) (- (* (pow v 2) (+ 108 (* -648 (pow v 2)))) 18))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))))
(/ 1/3 v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ (* 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 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 cosTheta_O)
(+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))
(+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))
(+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))
(* 1/2 cosTheta_O)
(+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))
(+ (* -1/12 (/ cosTheta_O (pow v 2))) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4)))))
(+ (* -1/12 (/ cosTheta_O (pow v 2))) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))))))
(* 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))))))
(* 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))
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
1/3
(+ 1/3 (* 2 (pow v 2)))
(+ 1/3 (* 2 (pow v 2)))
(+ 1/3 (* 2 (pow v 2)))
(* 2 (pow v 2))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 2 (pow v 2))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 2))

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

eval602.0ms (1.3%)

Compiler: Compiled 56459 to 3802 computations (93.3% saved)

prune1.1s (2.3%)

Pruning

105 alts after pruning (102 fresh and 3 done)

	Pruned	Kept	Total
New	2007	65	2072
Fresh	38	37	75
Picked	4	1	5
Done	1	2	3
Total	2050	105	2155

Accuracy

99.9%

Counts

2155 → 105

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))))) (/.f32 v cosTheta_O))
	66.8%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
	66.8%	(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
	66.8%	(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
	72.2%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
	98.9%	(/.f32 (/.f32 (/.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 #s(literal 1 binary32) (/.f32 cosTheta_O v)))
	97.3%	(/.f32 (/.f32 (/.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))) (exp.f32 (*.f32 (log.f32 (/.f32 cosTheta_O v)) #s(literal -1 binary32))))
	66.8%	(/.f32 (/.f32 (/.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 v cosTheta_O))
	98.6%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) 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 v cosTheta_O))
	95.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	70.8%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
	95.9%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
	95.9%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
	96.0%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
	92.1%	(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))) #s(literal -1 binary32))))
	98.8%	(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))
	66.8%	(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
	66.8%	(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
	66.2%	(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
	66.8%	(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
	66.8%	(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
	61.8%	(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
	98.9%	(/.f32 (/.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
	98.8%	(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
	66.8%	(/.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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
	66.8%	(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
	66.8%	(/.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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
	56.9%	(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
	57.4%	(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 binary32))))))
	72.1%	(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
	66.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	98.6%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	95.4%	(/.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_i (-.f32 v (*.f32 sinTheta_O sinTheta_i))))) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
	98.8%	(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
	72.2%	(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
	98.7%	(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
	66.8%	(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
	98.4%	(/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 #s(literal 1/2 binary32) v))))
	98.5%	(/.f32 (.f32 (/.f32 (/.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))) cosTheta_O) v)
	98.8%	(/.f32 (.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 v cosTheta_O))
	73.1%	(/.f32 (.f32 (/.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 (.f32 cosTheta_i cosTheta_i) (/.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (/.f32 v (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))))) (.f32 v (+.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))))
	98.8%	(/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) (/.f32 v cosTheta_O))
	66.8%	(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
	66.8%	(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
	98.7%	(/.f32 (.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
	61.8%	(/.f32 (.f32 (.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
	66.8%	(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
	66.8%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
✓	61.8%	(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) v)
	66.8%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
	66.8%	(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
	66.8%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
	66.7%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
	66.8%	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
	61.8%	(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
	95.2%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) #s(literal -1 binary32))) (/.f32 v cosTheta_O))
	97.0%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)))) #s(literal -1 binary32))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
	62.3%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 v)) (.f32 cosTheta_O (-.f32 #s(literal 0 binary32) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))))
	66.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
	62.3%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	57.4%	(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
	98.8%	(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O))
	66.8%	(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
	98.4%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
	98.4%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	66.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
	66.8%	(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
	66.8%	(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
	66.8%	(.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
	98.8%	(.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
	66.8%	(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
	66.8%	(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
	66.8%	(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
	98.8%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))))
	98.8%	(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v)))
	61.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) cosTheta_O)
	61.8%	(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
	66.8%	(.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
	98.7%	(.f32 (.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O) (/.f32 #s(literal 1 binary32) v))
	66.8%	(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
	66.8%	(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
	56.0%	(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
	61.8%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
	66.8%	(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
	66.8%	(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
✓	61.8%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 cosTheta_i v))
	61.8%	(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
	98.7%	(.f32 cosTheta_i (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (*.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
	61.8%	(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
	66.8%	(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
	61.8%	(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
✓	61.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
	61.8%	(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
	61.8%	(.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
	61.8%	(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
	61.8%	(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))

Compiler

Compiled 7387 to 2573 computations (65.2% saved)

regimes720.0ms (1.6%)

Counts

202 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

116.0ms	(*.f32 cosTheta_i cosTheta_O)
85.0ms	v
84.0ms	sinTheta_O
75.0ms	cosTheta_i
72.0ms	cosTheta_O

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes432.0ms (0.9%)

Counts

137 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
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(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
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(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
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(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (*.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v))
(.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 (-.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_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) (/.f32 v cosTheta_O))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 v cosTheta_O))
(/.f32 (.f32 (/.f32 (/.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))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 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 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v))))

Outputs

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

Calls

7 calls:

52.0ms	cosTheta_O
51.0ms	sinTheta_i
50.0ms	sinTheta_O
50.0ms	cosTheta_i
47.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes451.0ms (1%)

Counts

135 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (*.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v))
(.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 (-.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_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_O)
(.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 v cosTheta_O)))
(.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O))
(/.f32 (.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) (/.f32 cosTheta_O v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) (/.f32 v cosTheta_O))
(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 v cosTheta_O))
(/.f32 (.f32 (/.f32 (/.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))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 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 #s(literal 1/2 binary32) v)))

Outputs

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

Calls

7 calls:

68.0ms	v
65.0ms	sinTheta_O
52.0ms	sinTheta_i
50.0ms	cosTheta_i
49.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes396.0ms (0.9%)

Counts

128 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

51.0ms	cosTheta_i
47.0ms	sinTheta_i
47.0ms	sinTheta_O
46.0ms	cosTheta_O
46.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes396.0ms (0.9%)

Counts

121 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (*.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v)))
(.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.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 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v)) v))
(.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))

Outputs

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

Calls

7 calls:

74.0ms	sinTheta_i
45.0ms	sinTheta_O
45.0ms	v
45.0ms	cosTheta_i
44.0ms	cosTheta_O

Results

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

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes399.0ms (0.9%)

Counts

116 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (*.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v))

Outputs

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

Calls

7 calls:

83.0ms	sinTheta_i
46.0ms	cosTheta_O
43.0ms	(*.f32 sinTheta_i sinTheta_O)
42.0ms	sinTheta_O
42.0ms	v

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)

regimes353.0ms (0.8%)

Counts

115 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
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(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 v cosTheta_O) cosTheta_i))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(.f32 cosTheta_O (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (.f32 v v)))))
(.f32 cosTheta_i (/.f32 (/.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (*.f32 (/.f32 v cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))

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

Calls

7 calls:

46.0ms	sinTheta_i
43.0ms	cosTheta_O
42.0ms	cosTheta_i
41.0ms	sinTheta_O
41.0ms	v

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)

regimes337.0ms (0.7%)

Counts

108 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))

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

Calls

7 calls:

45.0ms	sinTheta_i
39.0ms	cosTheta_i
39.0ms	sinTheta_O
39.0ms	cosTheta_O
39.0ms	v

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta_i`
98.4%	1	`cosTheta_O`
98.4%	1	`sinTheta_i`
98.4%	1	`sinTheta_O`
98.4%	1	`v`
98.4%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.4%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes322.0ms (0.7%)

Counts

107 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (/.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 (/.f32 v cosTheta_O) (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.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 v v) (+.f32 #s(literal 3 binary32) (.f32 (.f32 v v) (+.f32 #s(literal -18 binary32) (.f32 (.f32 v v) (+.f32 #s(literal 108 binary32) (.f32 (*.f32 v v) #s(literal -648 binary32))))))))))
(/.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 cosTheta_i (.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (.f32 sinTheta_i sinTheta_i) cosTheta_O))) (.f32 v v))))) v)
(.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))

Outputs

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

Calls

7 calls:

40.0ms	sinTheta_O
39.0ms	sinTheta_i
38.0ms	v
38.0ms	cosTheta_i
38.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
72.2%	1	`cosTheta_i`
72.2%	1	`cosTheta_O`
72.2%	1	`sinTheta_i`
72.2%	1	`sinTheta_O`
72.2%	1	`v`
72.2%	1	`(*.f32 sinTheta_i sinTheta_O)`
72.2%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes353.0ms (0.8%)

Counts

101 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 cosTheta_O (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i (-.f32 v (.f32 sinTheta_O sinTheta_i))) v) (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (.f32 v v)))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_O))
(/.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 binary32) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v)))) (.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)) (.f32 v #s(literal 2 binary32))))

Outputs

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

Calls

7 calls:

44.0ms	(*.f32 cosTheta_i cosTheta_O)
37.0ms	sinTheta_i
37.0ms	v
36.0ms	cosTheta_O
36.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
72.2%	1	`cosTheta_O`
72.2%	1	`sinTheta_O`
72.2%	1	`v`
72.2%	1	`cosTheta_i`
72.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
72.2%	1	`sinTheta_i`
72.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes307.0ms (0.7%)

Counts

99 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

45.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	cosTheta_O
36.0ms	sinTheta_i
36.0ms	cosTheta_i
35.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
72.2%	1	`v`
72.2%	1	`cosTheta_i`
72.2%	1	`cosTheta_O`
72.2%	1	`sinTheta_O`
72.2%	1	`(*.f32 cosTheta_i cosTheta_O)`
72.2%	1	`sinTheta_i`
72.2%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes323.0ms (0.7%)

Counts

98 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i cosTheta_O) v))
(.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 #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 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 cosTheta_i (/.f32 (/.f32 v #s(literal 1/2 binary32)) cosTheta_O))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32)))
(/.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 #s(literal 1/2 binary32) (/.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O v))))
(.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i))
(.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) #s(literal -3 binary32))
(.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 cosTheta_i #s(literal 1/2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (/.f32 #s(literal 1 binary32) cosTheta_O))
(.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal -1 binary32) (/.f32 v cosTheta_O))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (.f32 cosTheta_i v)))
(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (.f32 v v))))
(.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 1 binary32) (.f32 sinTheta_O (/.f32 sinTheta_i v)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 1/2 binary32))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i #s(literal 1/2 binary32))) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) #s(literal 2 binary32))
(.f32 (neg.f32 (.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) v))
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v 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 (.f32 cosTheta_O cosTheta_i) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.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 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 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))) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) v)
(/.f32 (.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (/.f32 v (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.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 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 (/.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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v)) v)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 cosTheta_O (-.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))))) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v)))))
(.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (.f32 (.f32 cosTheta_O (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) v) v)
(.f32 (/.f32 cosTheta_O (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) #s(literal 2 binary32)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) v)))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 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 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (.f32 v v))) v)
(/.f32 (/.f32 (.f32 v v) (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 v (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))) v)
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (.f32 v v)))
(/.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32))) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1/3 binary32) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) v) (/.f32 #s(literal 1 binary32) (.f32 v v))))
(.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
(.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) (/.f32 v #s(literal 1/2 binary32))))
(.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)))))
(.f32 (/.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) #s(literal 1 binary32))) (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v cosTheta_O))))
(/.f32 (.f32 (/.f32 cosTheta_O v) (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) v) cosTheta_O) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) 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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) 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 v v) (+.f32 #s(literal 3 binary32) (.f32 (*.f32 v v) #s(literal -18 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 v (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 #s(literal 2 binary32) (*.f32 v v))) v))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(/.f32 (/.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_O)) 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 v cosTheta_O))
(.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 v (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)))
(.f32 (/.f32 (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v)) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 (-.f32 cosTheta_i (.f32 cosTheta_i (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_O)) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (.f32 cosTheta_O (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_i v))) v) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v 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 (/.f32 (+.f32 (.f32 v v) #s(literal 1/6 binary32)) (.f32 v (.f32 v 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 v #s(literal 1/2 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 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) v) v)) (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v))) v) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 v (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))))) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (.f32 v (.f32 v #s(literal 2 binary32)))) (*.f32 v v)))
(/.f32 (/.f32 (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (.f32 v v)) (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 v #s(literal 1/2 binary32))))))
(+.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O #s(literal -3 binary32))) (.f32 v (+.f32 (.f32 cosTheta_i (.f32 cosTheta_O #s(literal 3 binary32))) (.f32 (.f32 v #s(literal -18 binary32)) (.f32 (-.f32 v (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_O cosTheta_i))))))
(/.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 v (+.f32 (/.f32 v #s(literal 1/2 binary32)) (.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 v #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 (.f32 sinTheta_i (-.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_O)) v))) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.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 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O (.f32 cosTheta_i v)) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) v) v) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))
(/.f32 (.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)))) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) (.f32 v #s(literal 2 binary32))))

Outputs

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

Calls

7 calls:

73.0ms	sinTheta_i
56.0ms	sinTheta_O
36.0ms	(*.f32 sinTheta_i sinTheta_O)
36.0ms	cosTheta_i
36.0ms	v

Results

Accuracy	Segments	Branch
66.8%	1	`sinTheta_O`
66.8%	1	`v`
66.8%	1	`cosTheta_i`
66.8%	1	`cosTheta_O`
66.8%	1	`sinTheta_i`
66.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes191.0ms (0.4%)

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

7 calls:

57.0ms	sinTheta_O
22.0ms	v
21.0ms	sinTheta_i
19.0ms	cosTheta_i
19.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
66.8%	1	`v`
66.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
66.8%	1	`cosTheta_O`
66.8%	1	`sinTheta_O`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
66.8%	1	`cosTheta_i`
66.8%	1	`sinTheta_i`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes156.0ms (0.3%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`v`
66.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
66.8%	1	`cosTheta_i`
66.8%	1	`cosTheta_O`
66.8%	1	`sinTheta_O`
66.8%	1	`sinTheta_i`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes129.0ms (0.3%)

Counts

42 → 1

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	cosTheta_O
19.0ms	sinTheta_i
16.0ms	sinTheta_O
16.0ms	v
16.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
66.8%	1	`v`
66.8%	1	`sinTheta_O`
66.8%	1	`sinTheta_i`
66.8%	1	`(*.f32 sinTheta_i sinTheta_O)`
66.8%	1	`cosTheta_O`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
66.8%	1	`cosTheta_i`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes98.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
66.8%	1	`v`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
66.8%	1	`cosTheta_i`
66.8%	1	`sinTheta_O`
66.8%	1	`cosTheta_O`
66.8%	1	`sinTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes345.0ms (0.7%)

Counts

31 → 1

Calls

Call 1

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

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

Calls

6 calls:

273.0ms	cosTheta_i
15.0ms	sinTheta_i
13.0ms	v
13.0ms	cosTheta_O
12.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
66.8%	1	`v`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
66.8%	1	`cosTheta_i`
66.8%	1	`sinTheta_O`
66.8%	1	`cosTheta_O`
66.8%	1	`sinTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes86.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	cosTheta_O
13.0ms	cosTheta_i
11.0ms	v
11.0ms	sinTheta_i
11.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
66.8%	1	`v`
66.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
66.8%	1	`cosTheta_O`
66.8%	1	`sinTheta_i`
66.8%	1	`sinTheta_O`
66.8%	1	`cosTheta_i`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes133.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

6 calls:

57.0ms	(*.f32 cosTheta_i cosTheta_O)
29.0ms	sinTheta_O
11.0ms	cosTheta_O
11.0ms	sinTheta_i
10.0ms	v

Results

Accuracy	Segments	Branch
62.3%	1	`v`
62.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.3%	1	`sinTheta_i`
62.3%	1	`cosTheta_i`
62.3%	1	`cosTheta_O`
62.3%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes73.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	cosTheta_i
9.0ms	v
9.0ms	cosTheta_O
9.0ms	sinTheta_O
9.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
62.3%	1	`v`
62.3%	1	`cosTheta_O`
62.3%	1	`cosTheta_i`
62.3%	1	`sinTheta_i`
62.3%	1	`sinTheta_O`
62.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes59.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

6 calls:

11.0ms	sinTheta_O
10.0ms	v
9.0ms	cosTheta_i
9.0ms	sinTheta_i
9.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
62.3%	1	`v`
62.3%	1	`cosTheta_i`
62.3%	1	`cosTheta_O`
62.3%	1	`sinTheta_i`
62.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
62.3%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes29.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
61.8%	1	`v`
61.8%	1	`cosTheta_O`
61.8%	1	`cosTheta_i`
61.8%	1	`sinTheta_i`
61.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.8%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes24.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

6 calls:

5.0ms	sinTheta_O
4.0ms	cosTheta_O
4.0ms	cosTheta_i
4.0ms	sinTheta_i
3.0ms	v

Results

Accuracy	Segments	Branch
61.8%	1	`v`
61.8%	1	`cosTheta_O`
61.8%	1	`sinTheta_i`
61.8%	1	`(*.f32 cosTheta_i cosTheta_O)`
61.8%	1	`cosTheta_i`
61.8%	1	`sinTheta_O`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes14.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	v
2.0ms	sinTheta_O
2.0ms	sinTheta_i
2.0ms	cosTheta_i
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
61.8%	1	`v`
61.8%	1	`cosTheta_O`
61.8%	1	`cosTheta_i`
61.8%	1	`sinTheta_O`
61.8%	1	`sinTheta_i`

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify357.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

936×	`distribute-lft-neg-in_binary32`
862×	`unsub-neg_binary32`
800×	`neg-mul-1_binary32`
554×	`neg-sub0_binary32`
406×	`sub-neg_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	128	446
1	204	443
2	256	443
3	319	441
4	403	441
5	496	440
6	629	440
7	925	440
8	1475	440
9	2117	440
10	2777	440
11	3207	440
12	3475	440
13	3647	440
14	3667	440
15	3669	440
16	3669	440
17	3719	440
18	3727	440
19	3727	440

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness8.3s (18%)

Rules

8310×	`-lowering-.f32`
8310×	`-lowering-.f64`
6284×	`-lowering-.f32`
6284×	`-lowering-.f64`
5936×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	21
1	56	21
2	187	20
3	774	20
4	3087	20
5	3833	20
6	5919	20
0	9140	20
0	46	224
1	283	221
2	2415	209
0	8565	209
0	18	55
1	74	55
2	507	55
3	6546	55
0	8029	55
0	524	11982
1	1880	11405
2	7127	11368
0	8145	11368
0	48	256
1	315	247
2	2702	233
0	9243	233
0	43	237
1	238	225
2	2151	221
0	8447	221
0	735	13107
1	2626	12583
0	8624	12583
0	772	16515
1	2959	15920
0	8441	15920
0	349	3682
1	1260	3538
2	5579	3523
0	8085	3523

Stop Event

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

Compiler

Compiled 2355 to 1462 computations (37.9% saved)

preprocess3.1s (6.7%)

Remove: (sort sinTheta_i sinTheta_O)
Compiler: Compiled 7370 to 4558 computations (38.2% saved)

analyze2.3s (5%)

sample5.9s (12.7%)

preprocess707.0ms (1.5%)

explain430.0ms (0.9%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify533.0ms (1.2%)

localize153.0ms (0.3%)

series189.0ms (0.4%)

rewrite724.0ms (1.6%)

simplify843.0ms (1.8%)

eval234.0ms (0.5%)

prune494.0ms (1.1%)

simplify676.0ms (1.5%)

localize564.0ms (1.2%)

series741.0ms (1.6%)

rewrite1.1s (2.3%)

simplify1.2s (2.6%)

eval806.0ms (1.7%)

prune904.0ms (2%)

simplify628.0ms (1.4%)

localize694.0ms (1.5%)

series164.0ms (0.4%)

rewrite985.0ms (2.1%)

simplify1.1s (2.3%)

eval590.0ms (1.3%)

prune893.0ms (1.9%)

simplify565.0ms (1.2%)

localize608.0ms (1.3%)

series172.0ms (0.4%)

rewrite937.0ms (2%)

simplify936.0ms (2%)

eval602.0ms (1.3%)

prune1.1s (2.3%)

regimes720.0ms (1.6%)

regimes432.0ms (0.9%)

regimes451.0ms (1%)

regimes396.0ms (0.9%)

regimes396.0ms (0.9%)

regimes399.0ms (0.9%)

regimes353.0ms (0.8%)

regimes337.0ms (0.7%)

regimes322.0ms (0.7%)

regimes353.0ms (0.8%)

regimes307.0ms (0.7%)

regimes323.0ms (0.7%)

regimes191.0ms (0.4%)

regimes156.0ms (0.3%)

regimes129.0ms (0.3%)

regimes98.0ms (0.2%)

regimes345.0ms (0.7%)

regimes86.0ms (0.2%)

regimes133.0ms (0.3%)

regimes73.0ms (0.2%)

regimes59.0ms (0.1%)

regimes29.0ms (0.1%)

regimes24.0ms (0.1%)

regimes14.0ms (0%)

simplify357.0ms (0.8%)

soundness8.3s (18%)

preprocess3.1s (6.7%)

end0.0ms (0%)

Profiling