Metrics for HairBSDF, Mp, upper

analyze890.0ms (4.1%)

Memory

-16.1MiB live, 940.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.6s (12.3%)

Memory

65.8MiB live, 3 423.5MiB allocated

Samples

2.0s

8 256×

valid

Precisions

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

const: 446.0ms (26.8% of total)

ival-div: 325.0ms (19.6% of total)

ival-<=: 282.0ms (17% of total)

ival-mult: 237.0ms (14.3% of total)

ival-exp: 164.0ms (9.9% of total)

ival-sinh: 82.0ms (4.9% of total)

ival-and: 48.0ms (2.9% of total)

ival-neg: 43.0ms (2.6% of total)

ival-<: 18.0ms (1.1% of total)

exact: 14.0ms (0.8% of total)

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

Bogosity

preprocess238.0ms (1.1%)

Memory

12.2MiB live, 524.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	465
1	535	441
2	2083	420
0	19	22
1	55	22
2	185	21
3	769	21
4	3043	21
5	3715	21
6	5458	21
0	8267	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain326.0ms (1.5%)

Memory

22.9MiB live, 335.7MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(/.f32 #s(literal 1 binary32) v)`
0	-	-	`#s(literal 2 binary32)`
0	-	-	`(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))`
0	-	-	`sinTheta_i`
0	-	-	`cosTheta_i`
0	-	-	`v`
0	-	-	`(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))`
0	-	-	`sinTheta_O`
0	-	-	`(*.f32 sinTheta_i sinTheta_O)`
0	-	-	`(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
0	-	-	`(*.f32 cosTheta_i cosTheta_O)`
0	-	-	`(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)`
0	-	-	`(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))`
0	-	-	`cosTheta_O`
0	-	-	`(sinh.f32 (/.f32 #s(literal 1 binary32) v))`
2	(2.897337355749875e-19 1.7902750926168665e-7 2.7417430439960658e-33 1.2879115634210903e-13 0.24998867511749268)	-	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`
3	(1.176803005173171e-30 2.7778212571144285e-16 -3.293722534439778e-32 3.480815943293349e-30 0.1372082531452179)	-	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f32`	`(/.f32 (*.f32 cosTheta_i cosTheta_O) v)`	u/n	3	0
↳	`(*.f32 cosTheta_i cosTheta_O)`	underflow	76
`/.f32`	`(/.f32 (*.f32 sinTheta_i sinTheta_O) v)`	u/n	2	0
↳	`(*.f32 sinTheta_i sinTheta_O)`	underflow	76

Confusion

	Predicted +	Predicted -
+	0	0
-	5	251

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	5	0	251

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

178.0ms

512×

valid

Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions

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

ival-div: 15.0ms (37.3% of total)

ival-mult: 14.0ms (34.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify240.0ms (1.1%)

Memory

-44.9MiB live, 306.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize55.0ms (0.3%)

Memory

-9.8MiB live, 149.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

36.0ms

256×

valid

Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (43.7% of total)

ival-div: 9.0ms (35.8% of total)

ival-exp: 2.0ms (7.9% of total)

ival-sinh: 2.0ms (7.9% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.3%)

Memory

0.3MiB live, 114.9MiB allocated

Counts

8 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite307.0ms (1.4%)

Memory

0.4MiB live, 481.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 806

Calls

Call 1

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

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

simplify381.0ms (1.8%)

Memory

39.2MiB live, 697.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32)))) (.f32 sinTheta_i sinTheta_i) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32)))) (.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (.f32 v v)) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 v (*.f32 v v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 (.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 sinTheta_O (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) sinTheta_O)) (.f32 v (.f32 v v))) (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 cosTheta_O (fma.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))) #s(literal 1/2 binary32)))) (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 cosTheta_O (fma.f32 (.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 cosTheta_i (.f32 v (.f32 v v)))) #s(literal -1/6 binary32) cosTheta_i) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (*.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 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 cosTheta_O (fma.f32 (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)))) #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) (/.f32 cosTheta_i v)) #s(literal 1/6 binary32)))) v)) v))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O sinTheta_O) (.f32 v v)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)))) (.f32 v (.f32 v v)))) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v)) (.f32 (.f32 #s(literal -1/6 binary32) sinTheta_O) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (.f32 v v))))) (neg.f32 (/.f32 sinTheta_i v))) #s(literal 1 binary32))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 v (*.f32 v v))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (/.f32 (.f32 sinTheta_i sinTheta_i) v) #s(literal -1/2 binary32)) (.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)) (.f32 (/.f32 (.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/6 binary32)))) (neg.f32 v))) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.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))) (.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 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* 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)
(* 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 1/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 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 1/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))))))

eval149.0ms (0.7%)

Memory: -37.1MiB live, 219.0MiB allocated
Compiler: Compiled 27 265 to 2 904 computations (89.3% saved)

prune183.0ms (0.9%)

Memory

43.2MiB live, 393.2MiB allocated

Pruning

42 alts after pruning (42 fresh and 0 done)

	Pruned	Kept	Total
New	1 052	42	1 094
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 053	42	1 095

Accuracy

99.6%

Counts

1 095 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.3%	(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (.f32 v v))) v)
	94.5%	(/.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1 binary32) (.f32 cosTheta_i cosTheta_O))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.5%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.3%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	95.1%	(/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))))
	98.2%	(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.9%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (.f32 cosTheta_i cosTheta_O)) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
	97.9%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))
▶	54.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	94.3%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
	97.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) v) (+.f32 (+.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))))
	98.2%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶	98.5%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 (neg.f32 cosTheta_O) (.f32 cosTheta_i (/.f32 #s(literal -1 binary32) v)))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	98.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) v))
	54.0%	(/.f32 (.f32 cosTheta_O (fma.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (.f32 cosTheta_i #s(literal 1/2 binary32)))) v)
	98.4%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	97.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
	51.3%	(/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (.f32 sinTheta_i (.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
	90.7%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	96.8%	(.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 v v))) (-.f32 (exp.f32 (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))) (.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
	97.4%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	98.4%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O (*.f32 v v)))
	98.4%	(.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
▶	97.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	98.3%	(.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (/.f32 cosTheta_O v)) v))
	98.5%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
▶	98.3%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
	98.4%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	98.3%	(.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	98.3%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	89.5%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 2 394 to 1 636 computations (31.7% saved)

simplify295.0ms (1.4%)

Memory

0.2MiB live, 400.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	cost-diff	192	(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v)
✓	cost-diff	256	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	cost-diff	0	(/.f32 cosTheta_O v)
✓	cost-diff	64	(.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
✓	cost-diff	192	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
✓	cost-diff	0	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	0	(.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	cost-diff	0	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	cost-diff	0	(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓	cost-diff	64	(.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓	cost-diff	192	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Rules

7 562×	`-lowering-.f32`
7 562×	`-lowering-.f64`
3 990×	`accelerator-lowering-fma.f32`
3 990×	`accelerator-lowering-fma.f64`
3 206×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	410
1	128	398
2	504	392
3	2277	392
4	4076	392
5	5540	392
0	9455	392

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize147.0ms (0.7%)

Memory

-0.5MiB live, 271.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	98.6%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	98.9%	(.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	100.0%	(*.f32 cosTheta_O cosTheta_i)
✓	accuracy	99.9%	(.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓	accuracy	99.2%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	99.1%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

76.0ms

256×

valid

Compiler

Compiled 403 to 43 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 25.0ms (46.5% of total)

ival-mult: 18.0ms (33.5% of total)

ival-exp: 5.0ms (9.3% of total)

ival-sinh: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series129.0ms (0.6%)

Memory

-14.3MiB live, 229.4MiB allocated

Counts

22 → 828

Calls

Call 1

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

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

Calls

207 calls:

Time	Variable		Point	Expression
17.0ms	cosTheta_O	@	0	(/ cosTheta_O v)
9.0ms	cosTheta_O	@	inf	(* (* cosTheta_O cosTheta_i) 1/2)
4.0ms	sinTheta_O	@	0	(/ (* cosTheta_i cosTheta_O) (* (* (* (sinh (/ 1 v)) 2) (exp (/ (* sinTheta_i sinTheta_O) v))) (* v v)))
4.0ms	sinTheta_O	@	-inf	(* (/ cosTheta_O v) (* cosTheta_i (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (* (sinh (/ 1 v)) (* v 2)))))
2.0ms	v	@	inf	(/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite288.0ms (1.3%)

Memory

13.9MiB live, 592.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 822×	`-lowering-.f32`
3 822×	`-lowering-.f64`
3 426×	`/-lowering-/.f32`
3 426×	`/-lowering-/.f64`
1 232×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	252
1	203	235
2	1623	235
3	6855	235
0	8518	235

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 630

Calls

Call 1

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

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

simplify1.0s (4.8%)

Memory

-3.3MiB live, 790.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 120×	`accelerator-lowering-fma.f32`
12 120×	`accelerator-lowering-fma.f64`
9 124×	`-lowering-.f32`
9 124×	`-lowering-.f64`
4 326×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	825	15698
1	2772	15031
0	8487	14808

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

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

Outputs
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32)))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_O (.f32 (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) sinTheta_O)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) cosTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_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)))))))
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(+ (* 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)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 v v))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 v v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 (exp.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 v v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(fma.f32 sinTheta_i (fma.f32 cosTheta_i (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 (neg.f32 sinTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))) (/.f32 cosTheta_i (.f32 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))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_i (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (.f32 (neg.f32 sinTheta_O) cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))) (/.f32 cosTheta_i (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (*.f32 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)))))))
(fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 cosTheta_i (.f32 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))))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_O (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))) (/.f32 cosTheta_i (.f32 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))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i))) sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_i sinTheta_i))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (neg.f32 (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))))) (/.f32 cosTheta_i (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (exp.f32 (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -1/2 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) sinTheta_i) (.f32 cosTheta_i #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 cosTheta_i)) (pow v 2))))))
(fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 cosTheta_i (.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) sinTheta_i) (.f32 cosTheta_i #s(literal -1/6 binary32))) (.f32 v v))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_i (fma.f32 sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_O (neg.f32 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))
(fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal -1/2 binary32)) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(+ (* -1 (/ (+ (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i)) v))) v)) (* 1/2 cosTheta_i))
(fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 cosTheta_i #s(literal 1/6 binary32))) v))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/6 cosTheta_i))) (* 1/2 (/ (- (* -1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* -1/6 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta_i (.f32 sinTheta_O (.f32 sinTheta_i #s(literal 1/2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (.f32 cosTheta_i #s(literal 1/6 binary32))) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_i (fma.f32 sinTheta_i (.f32 (.f32 sinTheta_i sinTheta_i) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)) (neg.f32 v))) (neg.f32 v)))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (neg.f32 sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 sinTheta_O (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (/.f32 sinTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))) (/.f32 (neg.f32 sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v)))) (/.f32 #s(literal 1 binary32) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.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 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))
(* -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))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))

eval1.4s (6.5%)

Memory: -51.8MiB live, 493.1MiB allocated
Compiler: Compiled 70 301 to 4 441 computations (93.7% saved)

prune685.0ms (3.2%)

Memory

16.0MiB live, 656.8MiB allocated

Pruning

65 alts after pruning (62 fresh and 3 done)

	Pruned	Kept	Total
New	2 817	47	2 864
Fresh	22	15	37
Picked	2	3	5
Done	0	0	0
Total	2 841	65	2 906

Accuracy

99.8%

Counts

2 906 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
▶	97.8%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	97.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.3%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	92.8%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)))))
	54.0%	(/.f32 (/.f32 cosTheta_i (/.f32 #s(literal 2 binary32) cosTheta_O)) v)
	98.4%	(/.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 (.f32 v v) cosTheta_O))
	54.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.2%	(/.f32 (.f32 (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.2%	(/.f32 (.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 sinTheta_i sinTheta_i)) sinTheta_O) (.f32 v v)) (/.f32 sinTheta_i v)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.4%	(/.f32 (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 cosTheta_i cosTheta_O)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.3%	(/.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 2 binary32) cosTheta_O))
	98.3%	(/.f32 (.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.0%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓	54.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	94.3%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
	98.3%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)) (neg.f32 v)) (.f32 v v)))
	54.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
	97.9%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
✓	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	98.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32))))
	54.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (fma.f32 #s(literal 2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 2 binary32))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) (/.f32 (.f32 #s(literal -1/3 binary32) (fma.f32 sinTheta_O sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) (.f32 sinTheta_O (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)))))) v)) (neg.f32 v))) (neg.f32 v)) #s(literal -2 binary32)))))
▶	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))))
	98.4%	(/.f32 (.f32 cosTheta_O (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	90.7%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	54.5%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32)))
	54.4%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	98.3%	(.f32 (/.f32 (/.f32 cosTheta_i (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) v) cosTheta_O)
	98.3%	(.f32 (/.f32 (/.f32 cosTheta_O v) (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) cosTheta_i)
✓	97.7%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	97.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	97.9%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 #s(literal 1 binary32) v)))
	97.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (-.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 #s(literal 2 binary32) (log.f32 v)))))
	97.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	54.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	54.0%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) cosTheta_O)
	98.4%	(.f32 (/.f32 (.f32 cosTheta_O #s(literal 1/2 binary32)) (.f32 v (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.2%	(.f32 (/.f32 cosTheta_i (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))) cosTheta_O)
	98.3%	(.f32 (/.f32 cosTheta_O (.f32 v (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))))) cosTheta_i)
	54.0%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
	98.1%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.3%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
	98.0%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	51.1%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (+.f32 #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal 1/6 binary32)) v))) v))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
	94.2%	(.f32 (/.f32 cosTheta_O v) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
▶	54.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.3%	(.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O #s(literal 1/2 binary32)))
	98.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	98.4%	(.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
▶	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	96.8%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	88.3%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	98.3%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
	54.0%	(neg.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)))))
	89.5%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 3 227 to 2 224 computations (31.1% saved)

simplify332.0ms (1.5%)

Memory

-9.0MiB live, 327.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	192	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	cost-diff	192	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32)))
✓	cost-diff	0	(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	64	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
✓	cost-diff	64	(+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32))
✓	cost-diff	128	(neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32))))
✓	cost-diff	320	(fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)))
✓	cost-diff	352	(.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	cost-diff	0	(/.f32 cosTheta_i v)
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	320	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v)))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Rules

5 794×	`-lowering-.f32`
5 794×	`-lowering-.f64`
3 246×	`neg-lowering-neg.f64`
3 246×	`neg-lowering-neg.f32`
2 920×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	532
1	168	520
2	579	502
3	2450	485
4	4602	479
0	8400	464

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.0s (4.7%)

Memory

-3.3MiB live, 238.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 (/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32)))
✓	accuracy	99.2%	(/.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)))
✓	accuracy	98.9%	(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.4%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))))
✓	accuracy	99.2%	(.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))
✓	accuracy	99.1%	(/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
✓	accuracy	98.8%	(/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)) #s(literal -1/6 binary32)) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	100.0%	(*.f32 cosTheta_i cosTheta_O)
✓	accuracy	99.2%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
✓	accuracy	99.5%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	accuracy	99.5%	(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v)))
✓	accuracy	99.1%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

699.0ms

256×

valid

Compiler

Compiled 517 to 60 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 390.0ms

ival-div: 326.0ms (83.5% of total)

ival-mult: 45.0ms (11.5% of total)

ival-exp: 4.0ms (1% of total)

ival-add: 4.0ms (1% of total)

const: 4.0ms (1% of total)

ival-neg: 3.0ms (0.8% of total)

ival-sinh: 2.0ms (0.5% of total)

exact: 1.0ms (0.3% of total)

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

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

series547.0ms (2.5%)

Memory

0.1MiB live, 74.5MiB allocated

Counts

24 → 888

Calls

Call 1

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

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

222 calls:

Time	Variable		Point	Expression
264.0ms	sinTheta_O	@	0	(+ (* cosTheta_O (/ cosTheta_i v)) (/ (* cosTheta_O (* (* sinTheta_O (neg sinTheta_i)) cosTheta_i)) (* v v)))
6.0ms	sinTheta_i	@	inf	(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (/ (+ (* -2 (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) (neg v)) -2))))
3.0ms	cosTheta_i	@	0	(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (/ (+ (* -2 (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) (neg v)) -2))))
2.0ms	cosTheta_O	@	0	(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (/ (+ (* -2 (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) (neg v)) -2))))
1.0ms	sinTheta_O	@	0	(/ (* cosTheta_i cosTheta_O) (neg (* v (+ (/ (+ (* -2 (/ (+ (* (* sinTheta_O sinTheta_O) (* (* sinTheta_i sinTheta_i) -1/2)) -1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) (neg v)) -2))))

rewrite425.0ms (2%)

Memory

7.8MiB live, 565.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 680×	`-lowering-.f32`
5 680×	`-lowering-.f64`
4 692×	`/-lowering-/.f32`
4 692×	`/-lowering-/.f64`
2 790×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	365
1	316	339
2	2665	338
0	8715	323

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 777

Calls

Call 1

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

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

simplify534.0ms (2.5%)

Memory

-2.7MiB live, 917.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 218×	`-lowering-.f32`
7 218×	`-lowering-.f64`
6 880×	`accelerator-lowering-fma.f32`
6 880×	`accelerator-lowering-fma.f64`
4 768×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1281	19326
1	4482	18665
0	8525	18256

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 888

Calls

Call 1

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

eval183.0ms (0.9%)

Memory: 20.3MiB live, 400.0MiB allocated
Compiler: Compiled 55 938 to 4 393 computations (92.1% saved)

prune313.0ms (1.5%)

Memory

-21.8MiB live, 662.5MiB allocated

Pruning

94 alts after pruning (90 fresh and 4 done)

	Pruned	Kept	Total
New	1 732	53	1 785
Fresh	20	37	57
Picked	3	2	5
Done	1	2	3
Total	1 756	94	1 850

Accuracy

99.9%

Counts

1 850 → 94

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.6%	(/.f32 (fma.f32 cosTheta_i (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	66.0%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	59.7%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.6%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	59.7%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	98.5%	(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	94.5%	(/.f32 (fma.f32 cosTheta_O (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (/.f32 v cosTheta_i) (.f32 (.f32 v v) cosTheta_O)) (.f32 (.f32 v v) (/.f32 v cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v (.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 v cosTheta_i) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O))) (.f32 v v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	97.9%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.0%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
	59.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)))
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
▶	97.8%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.3%	(/.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (.f32 (/.f32 v (.f32 cosTheta_i cosTheta_O)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	92.8%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)))))
	54.0%	(/.f32 (/.f32 cosTheta_i (/.f32 #s(literal 2 binary32) cosTheta_O)) v)
	98.4%	(/.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 (.f32 v v) cosTheta_O))
	54.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.3%	(/.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 2 binary32) cosTheta_O))
	54.0%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
	98.4%	(/.f32 (.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	54.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	94.3%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
	98.3%	(/.f32 (.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (neg.f32 (.f32 v v))))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.5%	(/.f32 (.f32 cosTheta_i (fma.f32 (neg.f32 cosTheta_O) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v v)) (/.f32 cosTheta_O v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (fma.f32 v #s(literal 2 binary32) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) (neg.f32 v)) (neg.f32 v))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i v) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/6 binary32)) (.f32 v v))) #s(literal 2 binary32)) v) (*.f32 v v)))
	54.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
✓	98.3%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)))
	34.9%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (.f32 #s(literal 2 binary32) sinTheta_O) sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
	34.9%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (fma.f32 sinTheta_O #s(literal -2 binary32) (/.f32 (.f32 v (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))) sinTheta_i)) (neg.f32 sinTheta_i)) (/.f32 (.f32 sinTheta_O sinTheta_O) v))))
	33.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (+.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O)) (/.f32 (.f32 #s(literal 2 binary32) sinTheta_i) sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
	33.6%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (.f32 sinTheta_O sinTheta_O) (neg.f32 (-.f32 (/.f32 (fma.f32 sinTheta_i #s(literal -2 binary32) (/.f32 (.f32 v (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v)))) sinTheta_O)) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 (.f32 v (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v))) (/.f32 #s(literal -1 binary32) v) (.f32 v #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 v (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/3 binary32))) v)))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/3 binary32))) (*.f32 v v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -2 binary32)) (.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) (neg.f32 v)) #s(literal -2 binary32)))))
	35.1%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v) (/.f32 (fma.f32 sinTheta_O #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v sinTheta_i))) sinTheta_i))) (neg.f32 v)) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (*.f32 v v))) #s(literal -2 binary32)))))
	33.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (.f32 (.f32 sinTheta_O sinTheta_O) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_i (.f32 v sinTheta_O)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))) (.f32 sinTheta_O sinTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))))
	33.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (.f32 (.f32 sinTheta_O sinTheta_O) (neg.f32 (+.f32 (/.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 sinTheta_i v) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 v v) sinTheta_O))) (/.f32 #s(literal 2 binary32) sinTheta_O)) sinTheta_O) (/.f32 (.f32 sinTheta_i sinTheta_i) (.f32 v v))))))))
	98.6%	(/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v v)) (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
	88.9%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32)))
	90.7%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (/.f32 v (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	94.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))) (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (*.f32 v v)) (/.f32 cosTheta_i v)))))
	54.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))))
	54.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	59.0%	(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))) (*.f32 cosTheta_O cosTheta_i))))
	54.4%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	97.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	97.9%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 #s(literal 1 binary32) v)))
	97.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (-.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 #s(literal 2 binary32) (log.f32 v)))))
	97.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	54.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	54.0%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) cosTheta_O)
	98.3%	(.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	59.7%	(.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_O (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))
	54.0%	(.f32 (/.f32 cosTheta_O (.f32 v #s(literal 2 binary32))) cosTheta_i)
	59.7%	(.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 cosTheta_i (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))
	98.1%	(.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
	98.3%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))))
	98.0%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
	94.2%	(.f32 (/.f32 cosTheta_O v) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
✓	54.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	98.2%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal -2 binary32)))) (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))))
	59.7%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)))) (.f32 cosTheta_O cosTheta_i))
	98.3%	(.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O #s(literal 1/2 binary32)))
	98.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	54.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
▶	54.0%	(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.0%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
▶	98.4%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	59.7%	(.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))) cosTheta_i)
	96.8%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	88.3%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	59.7%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (neg.f32 v) (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)))))
▶	59.7%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))))
	54.0%	(neg.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)))))
	89.5%	(exp.f32 (.f32 (+.f32 (log.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)) (.f32 cosTheta_i cosTheta_O))) (/.f32 (.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))

Compiler

Compiled 5 291 to 3 490 computations (34% saved)

simplify238.0ms (1.1%)

Memory

0.5MiB live, 480.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
✓	cost-diff	0	(*.f32 cosTheta_i cosTheta_O)
✓	cost-diff	0	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓	cost-diff	256	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	cost-diff	0	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	cost-diff	192	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))
✓	cost-diff	0	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))))
✓	cost-diff	160	(.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)))))
✓	cost-diff	320	(.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1/2 binary32) v)
✓	cost-diff	0	(*.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))
✓	cost-diff	0	(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
✓	cost-diff	0	(*.f32 cosTheta_O cosTheta_i)
✓	cost-diff	0	(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	cost-diff	480	(fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (*.f32 v v))))
✓	cost-diff	544	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))

Rules

4 886×	`accelerator-lowering-fma.f32`
4 886×	`accelerator-lowering-fma.f64`
4 606×	`-lowering-.f32`
4 606×	`-lowering-.f64`
3 208×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	537
1	163	523
2	540	497
3	2183	477
4	5027	475
5	7142	475
0	8054	458

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize184.0ms (0.9%)

Memory

18.7MiB live, 376.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓	accuracy	99.1%	(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓	accuracy	99.0%	(.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.5%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
✓	accuracy	99.3%	(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓	accuracy	99.1%	(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.2%	(.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)))
✓	accuracy	99.1%	(.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)))))
✓	accuracy	99.1%	(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v)
✓	accuracy	98.8%	(/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)
✓	accuracy	100.0%	(/.f32 #s(literal 1/2 binary32) v)
✓	accuracy	99.5%	(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
✓	accuracy	99.2%	(*.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v))
✓	accuracy	99.3%	(/.f32 cosTheta_O (*.f32 v v))
✓	accuracy	99.1%	(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
✓	accuracy	99.0%	(fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (*.f32 v v))))
✓	accuracy	97.3%	(sinh.f32 (/.f32 #s(literal 1 binary32) v))

Samples

98.0ms

256×

valid

Compiler

Compiled 518 to 59 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 33.0ms (44.6% of total)

ival-div: 23.0ms (31.1% of total)

const: 6.0ms (8.1% of total)

ival-add: 3.0ms (4.1% of total)

ival-exp: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

ival-sinh: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series144.0ms (0.7%)

Memory

4.4MiB live, 196.0MiB allocated

Counts

25 → 828

Calls

Call 1

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

Outputs
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (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) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (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)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ cosTheta_i v))>
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#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
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#<alt 1/3>
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#<alt (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (pow sinTheta_i 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (pow sinTheta_i 2))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/3 (/ 1 (pow sinTheta_O 2))) (pow sinTheta_i 2)))>
#<alt 1/3>
#<alt (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (* (pow sinTheta_O 2) (pow sinTheta_i 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))>
#<alt (* (pow sinTheta_O 2) (pow sinTheta_i 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* 1/3 (/ 1 (pow sinTheta_i 2))) (pow sinTheta_O 2)))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (* -1/2 (/ (* cosTheta_i v) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))>
#<alt (* v (+ (* -1/2 (/ cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i v))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))>
#<alt (* v (+ (* -1/2 (/ cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* -1 (* v (+ (* 1/2 (/ cosTheta_i (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))>
#<alt (* v (+ (* -1/2 (/ cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* v (- (* -1 (* v (+ (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3))) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/2 (/ cosTheta_i (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* 1/2 (/ cosTheta_i (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* 1/2 cosTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) (* 1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (pow v 3))) (* 1/2 cosTheta_i)) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* -1/2 (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))>
#<alt (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_i 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_i v) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_i v) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_i (pow v 2)) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_i (pow v 3)) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_i (pow v 3)) (pow sinTheta_O 4))) (/ (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_i (pow v 2)) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_i v) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i v)) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))>
#<alt (* v (+ (* -1/2 (/ (* 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 v)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* -1 (* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* v (- (* -1 (* v (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3))) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (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))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4))) (pow sinTheta_O 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3))))) (pow sinTheta_O 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_i))) (pow sinTheta_O 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 2) (pow sinTheta_i 4)))))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* sinTheta_O (pow sinTheta_i 4)))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 4)))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* sinTheta_O (pow sinTheta_i 5)))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_i 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_i 4)))) sinTheta_O)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_i 2))) (pow sinTheta_O 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (* -2 (/ (* sinTheta_O (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2))))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 3)))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4))) (pow sinTheta_i 2))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i)))) (pow sinTheta_i 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 5))) (* -2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_O))) (pow sinTheta_i 3))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))) (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) (pow sinTheta_i 2)))))) (pow sinTheta_i 2))>
#<alt (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))>
#<alt (/ (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 4) sinTheta_i))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 4) sinTheta_i))) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* cosTheta_O (* cosTheta_i (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* (pow sinTheta_O 5) sinTheta_i))) (* 2 (/ (* v (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) (* sinTheta_O sinTheta_i)))) (+ (* -4 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (pow sinTheta_O 4))) (/ (* cosTheta_O (* cosTheta_i (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (pow sinTheta_O 4)))) sinTheta_i)) (* -2 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i v)) (pow sinTheta_O 2))) (pow sinTheta_i 2))>
#<alt (* -1/2 (/ v (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))>
#<alt (* v (- (* -1/2 (/ (* sinTheta_O (* sinTheta_i v)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ 1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))>
#<alt (* v (- (* v (- (* -1 (* v (+ (* 1/2 (/ 1 (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))))) (* 1/2 (/ 1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))>
#<alt (* v (- (* v (- (* v (- (* -1 (* v (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3))) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3))) (* 1/2 (/ 1 (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* 1/2 (/ 1 (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* sinTheta_O sinTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))))) (* 1/2 (/ 1 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2)))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (- (+ 1/2 (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (* 1/2 (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (pow v 3)))) (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (+ (* -1/2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 1/2 (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v)) (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* -1/2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (/ 1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
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#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
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#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
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#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i v)) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_i v)) (* 1/3 (/ 1 (* sinTheta_O (pow v 2))))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))>
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#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
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#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (/ 1/3 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (+ (/ 1/3 (* (pow sinTheta_i 2) (pow v 2))) (/ (pow sinTheta_O 2) (pow v 2)))))>
#<alt (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))>
#<alt (* (pow sinTheta_i 2) (+ (* 2 (/ sinTheta_O (* sinTheta_i v))) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O v)) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (- (* -2 (/ sinTheta_O v)) (* 1/3 (/ 1 (* sinTheta_i (pow v 2))))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))>
#<alt (/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 2 (* sinTheta_O (* sinTheta_i v)))) (pow v 2))>
#<alt (/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 2 (* sinTheta_O (* sinTheta_i v)))) (pow v 2))>
#<alt (/ (+ (* -2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* 2 (* sinTheta_O (* sinTheta_i v)))) (pow v 2))>
#<alt (* 2 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v)) (* 2 (* sinTheta_O sinTheta_i))) v)>
#<alt (* 2 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v))>
#<alt (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v))>
#<alt (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v))>
#<alt (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))>
#<alt (/ (+ (* -2 (* sinTheta_O (* sinTheta_i v))) (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)>
#<alt (/ (+ (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) v)>
#<alt (/ (+ (* 2 (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (* v (+ (* -2 v) (* -2 (* sinTheta_O sinTheta_i))))) v)>
#<alt (* -2 v)>
#<alt (* v (- (* -2 (/ (* sinTheta_O sinTheta_i) v)) 2))>
#<alt (* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))) 2))>
#<alt (* v (- (+ (* -2 (/ (* sinTheta_O sinTheta_i) v)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))) 2))>
#<alt (* -2 v)>
#<alt (* -1 (* v (+ 2 (* 2 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* -1 (* v (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v)))))>
#<alt (* -1 (* v (+ 2 (* -1 (/ (+ (* -2 (* sinTheta_O sinTheta_i)) (* 2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) v))) v)))))>
#<alt (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -2 sinTheta_i) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_O (+ (* -2 sinTheta_i) (* -1 (/ (* sinTheta_O (pow sinTheta_i 2)) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i sinTheta_O)) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (* -1 (/ (pow sinTheta_i 2) v)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i sinTheta_O)) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_O 2))) (* -1 (/ (pow sinTheta_i 2) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -2 (/ sinTheta_i sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 2 sinTheta_i) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* 2 sinTheta_i) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_O)) sinTheta_O)) (* -1 (/ (pow sinTheta_i 2) v))))>
#<alt (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -2 (* sinTheta_O sinTheta_i)) (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -2 sinTheta_O) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))>
#<alt (+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -2 sinTheta_O) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (* -1 (/ (pow sinTheta_O 2) v)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (* -1 (/ (pow sinTheta_O 2) v)))))>
#<alt (* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 2 sinTheta_O) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 2 sinTheta_O) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>

Calls

207 calls:

Time	Variable		Point	Expression
38.0ms	sinTheta_i	@	0	(* cosTheta_i (/ -1 (* v (- -2 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* -2 (+ (* (* (* sinTheta_O sinTheta_O) -1/2) (* sinTheta_i sinTheta_i)) -1/6)) v)) v)))))
19.0ms	sinTheta_i	@	-inf	(* cosTheta_i (/ -1 (* v (- -2 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* -2 (+ (* (* (* sinTheta_O sinTheta_O) -1/2) (* sinTheta_i sinTheta_i)) -1/6)) v)) v)))))
5.0ms	cosTheta_i	@	0	(* cosTheta_i (/ -1 (* v (- -2 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* -2 (+ (* (* (* sinTheta_O sinTheta_O) -1/2) (* sinTheta_i sinTheta_i)) -1/6)) v)) v)))))
1.0ms	cosTheta_O	@	0	(* cosTheta_O (* cosTheta_i (/ -1 (* v (- -2 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* -2 (+ (* (* (* sinTheta_O sinTheta_O) -1/2) (* sinTheta_i sinTheta_i)) -1/6)) v)) v))))))
1.0ms	sinTheta_O	@	0	(* cosTheta_i (/ -1 (* v (- -2 (/ (+ (* 2 (* sinTheta_O sinTheta_i)) (/ (* -2 (+ (* (* (* sinTheta_O sinTheta_O) -1/2) (* sinTheta_i sinTheta_i)) -1/6)) v)) v)))))

rewrite352.0ms (1.6%)

Memory

14.8MiB live, 724.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 232×	`/-lowering-/.f32`
5 232×	`/-lowering-/.f64`
5 044×	`-lowering-.f32`
5 044×	`-lowering-.f64`
2 700×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	350
1	306	340
2	2535	320
0	8946	308

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1 024

Calls

Call 1

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

Outputs
(neg.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
(pow.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) #s(literal -1 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) #s(literal -1/2 binary32))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))) #s(literal 1/2 binary32))
(/.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))) (neg.f32 (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) v))
(/.f32 (neg.f32 (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v #s(literal 2 binary32)))) #s(literal -2 binary32))
(.f32 #s(literal 1 binary32) (.f32 v (*.f32 (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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)))
(.f32 #s(literal 2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 v (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 #s(literal -2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))) #s(literal -1 binary32)))
(.f32 (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) (/.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)) (pow.f32 (/.f32 #s(literal 1 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 1 binary32)) (.f32 v #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 v))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)) #s(literal 2 binary32))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)) (.f32 v #s(literal 2 binary32)))
(.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v)))))
(+.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(pow.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (/.f32 (-.f32 (.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 cosTheta_O v)) (.f32 cosTheta_O cosTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 v v))) (fma.f32 (.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)))) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_O cosTheta_O)) (.f32 (.f32 v v) (.f32 (.f32 v v) (.f32 v v)))) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 v v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (neg.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (/.f32 cosTheta_O v))) v) (/.f32 (-.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v)))) (neg.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) cosTheta_O)))) (.f32 v v))) #s(literal -1 binary32))
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(fma.f32 v #s(literal -2 binary32) (.f32 v (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) (neg.f32 v))))
(fma.f32 #s(literal -2 binary32) v (.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) (neg.f32 v)) v))
(/.f32 (.f32 v (-.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) #s(literal 3 binary32)))) (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)) #s(literal 4 binary32)))
(/.f32 (.f32 v (-.f32 #s(literal 4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v)))) (.f32 v v)))) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)))
(/.f32 (.f32 (-.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) #s(literal 3 binary32))) v) (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)) #s(literal 4 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v)))) (.f32 v v))) v) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)))
(/.f32 (neg.f32 (.f32 v (-.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)) #s(literal 4 binary32))))
(/.f32 (neg.f32 (.f32 v (-.f32 #s(literal 4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v)))) (.f32 v v))))) (neg.f32 (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal -8 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) #s(literal 3 binary32))) v)) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v) (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)) #s(literal 4 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v)))) (.f32 v v))) v)) (neg.f32 (+.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v))))
(.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)))
(.f32 (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)) v)
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (.f32 (log.f32 (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.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) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal -1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))))
(/.f32 #s(literal -1 binary32) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(/.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) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (*.f32 v #s(literal 2 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (neg.f32 v))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 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 (/.f32 #s(literal 1/2 binary32) v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 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 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(.f32 (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp.f32 (.f32 (log.f32 (neg.f32 (/.f32 v (.f32 sinTheta_O sinTheta_i)))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (/.f32 v (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32))))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/.f32 (neg.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (neg.f32 v))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)))) v)
(/.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32))) (neg.f32 v))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(.f32 sinTheta_O (.f32 sinTheta_i (/.f32 #s(literal -1 binary32) v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(.f32 (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 sinTheta_O sinTheta_i) v))
(.f32 (/.f32 #s(literal -1 binary32) v) (.f32 sinTheta_O sinTheta_i))
(.f32 (/.f32 #s(literal -1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)))
(.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 sinTheta_O (neg.f32 v)) sinTheta_i)
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_O) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_i) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) sinTheta_i) #s(literal -1 binary32)) (pow.f32 (/.f32 v sinTheta_O) #s(literal -1 binary32)))

simplify557.0ms (2.6%)

Memory

13.6MiB live, 1 009.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 558×	`-lowering-.f32`
6 558×	`-lowering-.f64`
5 356×	`accelerator-lowering-fma.f32`
5 356×	`accelerator-lowering-fma.f64`
3 930×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1481	18187
1	5059	17758
0	8270	17259

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

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

Outputs
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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2
#s(literal 2 binary32)
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(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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2
#s(literal 2 binary32)
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(* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))
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(neg.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v)))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(neg.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v)))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(neg.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v)))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(* -1 (/ (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(neg.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_i (neg.f32 v)))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_i (fma.f32 cosTheta_O (neg.f32 (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v)))) (/.f32 cosTheta_O v))) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i)) (.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (fma.f32 cosTheta_O (.f32 sinTheta_O (/.f32 sinTheta_i (.f32 v v))) (/.f32 cosTheta_O (neg.f32 v))) (neg.f32 cosTheta_i)) (.f32 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_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))
(/ (+ (* -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 (fma.f32 cosTheta_O (/.f32 (.f32 v cosTheta_i) (-.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)) (neg.f32 cosTheta_O)) (-.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 (fma.f32 cosTheta_O (/.f32 (.f32 v cosTheta_i) (-.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)) (neg.f32 cosTheta_O)) (-.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 (fma.f32 cosTheta_O (/.f32 (.f32 v cosTheta_i) (-.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)) (neg.f32 cosTheta_O)) (-.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 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) 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 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) #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 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/12 binary32) (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v v)) (fma.f32 #s(literal 1/12 binary32) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 v (.f32 v v))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (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 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/12 binary32) (.f32 cosTheta_O cosTheta_i)) v)) (neg.f32 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 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/12 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))
(* 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 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v))))))
(* 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 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v))))))
(* 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 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_i)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (.f32 (*.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (.f32 (*.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(neg.f32 (.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (.f32 (*.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v v))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))
(* 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 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v))))))
(* 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 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v))))))
(* 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 (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (.f32 (.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (*.f32 v v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v))))
(* -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)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (.f32 (*.f32 v v) sinTheta_i) (-.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)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (.f32 (*.f32 v v) sinTheta_i) (-.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)))))))))
(neg.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (.f32 cosTheta_i sinTheta_O) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (.f32 v (.f32 v v)))) (/.f32 (.f32 cosTheta_i (neg.f32 cosTheta_O)) (.f32 (.f32 (*.f32 v v) sinTheta_i) (-.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)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 sinTheta_O sinTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 sinTheta_i sinTheta_i))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/ cosTheta_i (* v (+ 2 (+ (* -2 (/ (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))) (* 2 (/ (* sinTheta_O sinTheta_i) v))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal -2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v v)) (/.f32 (.f32 #s(literal 2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(* -1/2 (/ (* cosTheta_i v) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 v cosTheta_i)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))
(* v (+ (* -1/2 (/ cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* -1/2 (/ (* cosTheta_i (* sinTheta_O (* sinTheta_i v))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))
(.f32 v (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 cosTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O (.f32 v sinTheta_i))) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))))
(* v (+ (* -1/2 (/ cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* -1 (* v (+ (* 1/2 (/ cosTheta_i (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))
(.f32 v (fma.f32 v (fma.f32 v (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))
(* v (+ (* -1/2 (/ cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* v (- (* -1 (* v (+ (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3))) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/2 (/ cosTheta_i (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* 1/2 (/ cosTheta_i (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))
(.f32 v (fma.f32 v (fma.f32 v (fma.f32 (fma.f32 sinTheta_O (/.f32 (.f32 sinTheta_i (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i))) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))) (neg.f32 v) (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 cosTheta_i (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))) (/.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))))
(* 1/2 (/ cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))
(/ (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (pow v 2))) (* 1/2 cosTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 (.f32 v v))) (fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 sinTheta_O sinTheta_i)) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) (* 1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (pow v 3))) (* 1/2 cosTheta_i)) (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* -1/2 (/ (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))) v)
(/.f32 (-.f32 (fma.f32 cosTheta_i #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 (.f32 v (.f32 v v))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) (.f32 v v)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (/.f32 (.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) (*.f32 v v))))) v)
(* 1/2 (/ cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_i #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* -1/2 (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* -1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_i)) v))
(/.f32 (fma.f32 cosTheta_i #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (/.f32 (fma.f32 (.f32 sinTheta_O sinTheta_i) (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_i (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i)) (.f32 cosTheta_i (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (.f32 (.f32 cosTheta_i #s(literal -1/2 binary32)) (.f32 (.f32 sinTheta_O sinTheta_i) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))
(+ (* -2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ cosTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
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(* v (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* -1 (* v (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))
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(* v (+ (* -1/2 (/ (* cosTheta_O cosTheta_i) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (* v (- (* v (- (* -1 (* v (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3))) (/ (* sinTheta_O (* sinTheta_i (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 3)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) 2)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
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(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (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))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (pow (+ 2 (* 1/3 (/ 1 (pow v 2)))) 2)))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))) (/.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
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(/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
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(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta_O) (.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(neg.f32 (/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) (.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_O sinTheta_i) (.f32 sinTheta_O sinTheta_i))) (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 sinTheta_i (.f32 sinTheta_i sinTheta_i)) (.f32 sinTheta_O (.f32 sinTheta_O sinTheta_O))) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
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(fma.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 v) (.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -2 binary32)))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -2 sinTheta_O) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (neg.f32 (/.f32 sinTheta_i v)) (.f32 sinTheta_O #s(literal -2 binary32))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 v)))
(+ (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))) (* sinTheta_i (+ (* -2 sinTheta_O) (* -1 (/ (* (pow sinTheta_O 2) sinTheta_i) v)))))
(fma.f32 sinTheta_i (fma.f32 (.f32 sinTheta_O sinTheta_O) (neg.f32 (/.f32 sinTheta_i v)) (.f32 sinTheta_O #s(literal -2 binary32))) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (neg.f32 v)))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (* -1 (/ (pow sinTheta_O 2) v)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O sinTheta_i) (neg.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))))
(* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) (pow sinTheta_i 2))) (* -1 (/ (pow sinTheta_O 2) v)))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O sinTheta_i) (neg.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) (.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)))))
(* -1 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (.f32 (.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(* (pow sinTheta_i 2) (+ (* -2 (/ sinTheta_O sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 sinTheta_O sinTheta_i) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 2 sinTheta_O) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_i) (*.f32 #s(literal 2 binary32) sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* 2 sinTheta_O) (/ (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))) sinTheta_i)) sinTheta_i)) (* -1 (/ (pow sinTheta_O 2) v))))
(.f32 (.f32 sinTheta_i sinTheta_i) (-.f32 (neg.f32 (/.f32 (.f32 sinTheta_O sinTheta_O) v)) (/.f32 (fma.f32 v (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))) sinTheta_i) (*.f32 #s(literal 2 binary32) sinTheta_O)) sinTheta_i)))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))

eval208.0ms (1%)

Memory: 2.5MiB live, 623.8MiB allocated
Compiler: Compiled 60 051 to 5 418 computations (91% saved)

prune531.0ms (2.5%)

Memory

-20.3MiB live, 1 040.3MiB allocated

Pruning

94 alts after pruning (89 fresh and 5 done)

	Pruned	Kept	Total
New	1 893	35	1 928
Fresh	31	54	85
Picked	3	2	5
Done	1	3	4
Total	1 928	94	2 022

Accuracy

99.9%

Counts

2 022 → 94

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (.f32 v v)))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	59.7%	(/.f32 (fma.f32 (.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (.f32 (neg.f32 (.f32 (.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 cosTheta_O (.f32 v v)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	66.0%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
✓	98.6%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	59.7%	(/.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
	98.5%	(/.f32 (fma.f32 cosTheta_O (.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal -1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	94.5%	(/.f32 (fma.f32 cosTheta_O (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_i)) #s(literal -1 binary32))) (/.f32 (.f32 cosTheta_O (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) cosTheta_i)) (.f32 v v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.4%	(/.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) (/.f32 v cosTheta_i) (.f32 (.f32 v v) cosTheta_O)) (.f32 (.f32 v v) (/.f32 v cosTheta_i))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.2%	(/.f32 (/.f32 (fma.f32 (.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 cosTheta_O cosTheta_i)) v (.f32 (.f32 v v) (.f32 cosTheta_O cosTheta_i))) (.f32 v (.f32 v v))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (/.f32 (fma.f32 cosTheta_O (.f32 v cosTheta_i) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O))) (.f32 v v)) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	97.9%	(/.f32 (/.f32 (.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)))) (.f32 v #s(literal 2 binary32)))
	98.2%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.0%	(/.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
	98.1%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	59.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v))))
	66.0%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) #s(literal 2 binary32)) v))
	59.7%	(/.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 v v))) v) #s(literal 2 binary32)) v))
	92.8%	(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) v) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)))))
	54.0%	(/.f32 (/.f32 cosTheta_i (/.f32 #s(literal 2 binary32) cosTheta_O)) v)
	98.4%	(/.f32 (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))))) (/.f32 (.f32 v v) cosTheta_O))
	54.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
	98.3%	(/.f32 (.f32 (/.f32 (-.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (.f32 cosTheta_i (.f32 sinTheta_O sinTheta_i)) (/.f32 cosTheta_O v))) v) (/.f32 #s(literal 1 binary32) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
	98.3%	(/.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 2 binary32) cosTheta_O))
	98.0%	(/.f32 (.f32 (/.f32 cosTheta_i v) cosTheta_O) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) v) (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	98.1%	(/.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) cosTheta_i) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.0%	(/.f32 (.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
	98.4%	(/.f32 (.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (/.f32 #s(literal 1 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓	54.0%	(/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
	94.3%	(/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (.f32 (/.f32 (.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
	98.4%	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) v) (.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
	98.4%	(/.f32 (.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_i)) (/.f32 (.f32 (.f32 cosTheta_O cosTheta_i) sinTheta_O) (neg.f32 (.f32 v v))))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v sinTheta_O)) (/.f32 (.f32 cosTheta_O (.f32 cosTheta_i sinTheta_i)) (neg.f32 (.f32 v v))))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	98.3%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O (.f32 v v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
	97.9%	(/.f32 (.f32 cosTheta_i (/.f32 cosTheta_O v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	54.0%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 2 binary32) v) (*.f32 v v)))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (fma.f32 v (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -1/3 binary32) (.f32 v v))) (.f32 (.f32 sinTheta_O sinTheta_i) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/3 binary32))) v)))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (fma.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) (/.f32 #s(literal -1 binary32) v) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (/.f32 (fma.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))) (fma.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i)) #s(literal -1/3 binary32))) (*.f32 v v)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (/.f32 (/.f32 #s(literal 1/3 binary32) v) (neg.f32 v)) #s(literal -2 binary32)))))
	59.7%	(/.f32 (.f32 cosTheta_i cosTheta_O) (neg.f32 (.f32 v (+.f32 (.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (*.f32 v v))) #s(literal -2 binary32)))))
	98.6%	(/.f32 (.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (.f32 sinTheta_O sinTheta_i) (.f32 v v)) (/.f32 cosTheta_i v))) (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v)))
	97.9%	(/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v)))
	97.9%	(/.f32 (neg.f32 (.f32 cosTheta_O cosTheta_i)) (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (neg.f32 v)))
	90.4%	(/.f32 (exp.f32 (.f32 (log.f32 (/.f32 v (.f32 cosTheta_O cosTheta_i))) #s(literal -1 binary32))) (.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
	88.9%	(/.f32 (exp.f32 (.f32 (log.f32 (.f32 (.f32 v (exp.f32 (/.f32 (.f32 sinTheta_O sinTheta_i) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32))) (.f32 v #s(literal 2 binary32)))
	54.5%	(/.f32 #s(literal 1 binary32) (/.f32 v (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_O cosTheta_i))))
	54.5%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
	54.4%	(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
	97.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 v v)))
	97.9%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 #s(literal 1 binary32) v)))
	97.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (-.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (*.f32 #s(literal 2 binary32) (log.f32 v)))))
	97.4%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	54.0%	(.f32 (/.f32 (.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
	54.0%	(.f32 (/.f32 (.f32 cosTheta_i #s(literal 1/2 binary32)) v) cosTheta_O)
	98.3%	(.f32 (/.f32 (.f32 cosTheta_O (fma.f32 cosTheta_i (/.f32 (.f32 sinTheta_O (neg.f32 sinTheta_i)) (.f32 v v)) (/.f32 cosTheta_i v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
	97.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))
	97.6%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal 2 binary32))))
	97.8%	(.f32 (/.f32 (.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
	54.0%	(.f32 (/.f32 (.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)
	98.1%	(.f32 (/.f32 cosTheta_i (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (/.f32 cosTheta_O v))
	59.7%	(.f32 (/.f32 cosTheta_i (neg.f32 (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v))))) cosTheta_O)
	98.0%	(.f32 (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
	97.7%	(.f32 (/.f32 cosTheta_O v) (pow.f32 (/.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 cosTheta_i v)) #s(literal -1 binary32)))
	98.0%	(.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
	98.5%	(.f32 (/.f32 cosTheta_O v) (.f32 cosTheta_i (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
	94.2%	(.f32 (/.f32 cosTheta_O v) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
	54.0%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (.f32 cosTheta_i #s(literal 1/2 binary32)))) cosTheta_O)
✓	54.0%	(.f32 (/.f32 #s(literal 1/2 binary32) v) (.f32 cosTheta_i cosTheta_O))
	59.7%	(.f32 (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v)))) (.f32 cosTheta_O cosTheta_i))
	98.3%	(.f32 (.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (.f32 v v)) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O #s(literal 1/2 binary32)))
	98.5%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	54.0%	(.f32 (.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O) cosTheta_i)
✓	54.0%	(.f32 (.f32 cosTheta_i (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.3%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 sinTheta_i (.f32 sinTheta_O sinTheta_O)) (.f32 v v)) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32)) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	98.0%	(.f32 (.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (*.f32 v #s(literal 2 binary32)) v))))
	98.6%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
	98.0%	(.f32 (.f32 cosTheta_i cosTheta_O) (.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
	59.7%	(.f32 (.f32 cosTheta_O (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (.f32 (fma.f32 sinTheta_i (.f32 sinTheta_i (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1/6 binary32)) (/.f32 #s(literal -2 binary32) v))) v))))) cosTheta_i)
	59.7%	(.f32 (neg.f32 (/.f32 cosTheta_O (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))) v)) v))))) cosTheta_i)
	96.8%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 v cosTheta_O)) #s(literal -1 binary32))) (.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 v #s(literal 2 binary32))))))
	88.3%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
	98.0%	(.f32 cosTheta_i (/.f32 cosTheta_O (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	97.9%	(.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
	97.9%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (.f32 (.f32 v #s(literal 2 binary32)) v))))
	59.7%	(.f32 cosTheta_O (/.f32 cosTheta_i (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
	59.7%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 v v)))))))
	59.7%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 sinTheta_O sinTheta_O)) (.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)) (.f32 v (.f32 #s(literal -2 binary32) (+.f32 v (.f32 sinTheta_O sinTheta_i))))) v))))
	59.7%	(.f32 cosTheta_O (.f32 cosTheta_i (/.f32 #s(literal -1 binary32) (.f32 v (-.f32 #s(literal -2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal 1/3 binary32) v)) v))))))
	54.0%	(neg.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)))))
	89.3%	(exp.f32 (.f32 (log.f32 (.f32 (.f32 v (.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 v (*.f32 cosTheta_O cosTheta_i)))) #s(literal -1 binary32)))

Compiler

Compiled 6 414 to 2 355 computations (63.3% saved)

regimes452.0ms (2.1%)

Memory

25.1MiB live, 738.4MiB allocated

Counts

178 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

75.0ms	cosTheta_i
55.0ms	sinTheta_i
55.0ms	cosTheta_O
55.0ms	v
53.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes282.0ms (1.3%)

Memory

1.6MiB live, 425.8MiB allocated

Counts

107 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

48.0ms	(*.f32 sinTheta_i sinTheta_O)
38.0ms	cosTheta_i
33.0ms	sinTheta_O
33.0ms	cosTheta_O
33.0ms	sinTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes275.0ms (1.3%)

Memory

-3.3MiB live, 476.9MiB allocated

Counts

102 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

49.0ms	(*.f32 cosTheta_i cosTheta_O)
35.0ms	v
34.0ms	sinTheta_i
32.0ms	sinTheta_O
32.0ms	cosTheta_i

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes250.0ms (1.2%)

Memory

7.9MiB live, 539.7MiB allocated

Counts

99 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

43.0ms	cosTheta_O
31.0ms	sinTheta_i
29.0ms	(*.f32 sinTheta_i sinTheta_O)
29.0ms	cosTheta_i
29.0ms	v

Results

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

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes266.0ms (1.2%)

Memory

-12.4MiB live, 375.5MiB allocated

Counts

96 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

73.0ms	cosTheta_i
30.0ms	v
29.0ms	cosTheta_O
27.0ms	sinTheta_i
27.0ms	sinTheta_O

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_O`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	1	`cosTheta_i`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`
98.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes222.0ms (1%)

Memory

7.3MiB live, 410.3MiB allocated

Counts

94 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

30.0ms	cosTheta_i
29.0ms	(*.f32 cosTheta_i cosTheta_O)
28.0ms	v
27.0ms	sinTheta_O
27.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`v`
98.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.3%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes236.0ms (1.1%)

Memory

-10.3MiB live, 378.4MiB allocated

Counts

91 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

39.0ms	sinTheta_i
34.0ms	cosTheta_O
29.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
28.0ms	sinTheta_O
26.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`cosTheta_O`
98.3%	1	`sinTheta_i`
98.3%	1	`sinTheta_O`
98.3%	1	`v`
98.3%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.3%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.3%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes242.0ms (1.1%)

Memory

27.1MiB live, 373.9MiB allocated

Counts

88 → 1

Calls

Call 1

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

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

Calls

8 calls:

61.0ms	cosTheta_i
30.0ms	sinTheta_O
26.0ms	(*.f32 sinTheta_i sinTheta_O)
26.0ms	sinTheta_i
25.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_i`
98.1%	1	`sinTheta_O`
98.1%	1	`v`
98.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes321.0ms (1.5%)

Memory

-5.9MiB live, 395.7MiB allocated

Counts

87 → 1

Calls

Call 1

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

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

Calls

8 calls:

89.0ms	sinTheta_i
59.0ms	sinTheta_O
35.0ms	v
28.0ms	cosTheta_O
28.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta_i`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_i`
98.1%	1	`v`
98.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.1%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.1%	1	`sinTheta_O`
98.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes207.0ms (1%)

Memory

-8.3MiB live, 494.3MiB allocated

Counts

82 → 1

Calls

Call 1

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

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

Calls

8 calls:

38.0ms	sinTheta_i
26.0ms	cosTheta_i
26.0ms	cosTheta_O
25.0ms	sinTheta_O
25.0ms	v

Results

Accuracy	Segments	Branch
98.1%	1	`sinTheta_i`
98.1%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.1%	1	`cosTheta_i`
98.1%	1	`cosTheta_O`
98.1%	1	`sinTheta_O`
98.1%	1	`v`
98.1%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.1%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes208.0ms (1%)

Memory

23.5MiB live, 370.3MiB allocated

Counts

74 → 1

Calls

Call 1

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

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

Calls

8 calls:

41.0ms	(/.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))
28.0ms	(*.f32 cosTheta_i cosTheta_O)
27.0ms	sinTheta_O
23.0ms	v
22.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.0%	1	`cosTheta_i`
98.0%	1	`sinTheta_i`
98.0%	1	`v`
98.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
98.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
98.0%	1	`cosTheta_O`
98.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
98.0%	1	`sinTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes214.0ms (1%)

Memory

-38.2MiB live, 292.1MiB allocated

Counts

69 → 1

Calls

Call 1

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

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

Calls

8 calls:

52.0ms	v
37.0ms	cosTheta_O
25.0ms	cosTheta_i
22.0ms	(*.f32 sinTheta_i sinTheta_O)
21.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
97.9%	1	`sinTheta_i`
97.9%	1	`cosTheta_i`
97.9%	1	`cosTheta_O`
97.9%	1	`sinTheta_O`
97.9%	1	`v`
97.9%	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))`
97.9%	1	`(*.f32 sinTheta_i sinTheta_O)`
97.9%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes159.0ms (0.7%)

Memory

20.4MiB live, 336.4MiB allocated

Counts

68 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
66.0%	1	`cosTheta_i`
66.0%	1	`cosTheta_O`
66.0%	1	`sinTheta_i`
66.0%	1	`sinTheta_O`
66.0%	1	`v`
66.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
66.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
66.0%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes114.0ms (0.5%)

Memory

8.8MiB live, 296.8MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	cosTheta_O
15.0ms	sinTheta_O
15.0ms	sinTheta_i
15.0ms	v
13.0ms	(*.f32 sinTheta_i sinTheta_O)

Results

Accuracy	Segments	Branch
59.7%	1	`(*.f32 cosTheta_i cosTheta_O)`
59.7%	1	`cosTheta_i`
59.7%	1	`cosTheta_O`
59.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.7%	1	`v`
59.7%	1	`sinTheta_i`
59.7%	1	`sinTheta_O`
59.7%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes69.0ms (0.3%)

Memory

-36.8MiB live, 82.7MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

8 calls:

10.0ms	cosTheta_i
7.0ms	(*.f32 cosTheta_i cosTheta_O)
7.0ms	v
7.0ms	sinTheta_O
7.0ms	sinTheta_i

Results

Accuracy	Segments	Branch
59.7%	1	`sinTheta_O`
59.7%	1	`sinTheta_i`
59.7%	1	`v`
59.7%	1	`cosTheta_i`
59.7%	1	`cosTheta_O`
59.7%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
59.7%	1	`(*.f32 sinTheta_i sinTheta_O)`
59.7%	1	`(*.f32 cosTheta_i cosTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes49.0ms (0.2%)

Memory

17.6MiB live, 94.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	sinTheta_i
6.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
6.0ms	cosTheta_O
6.0ms	sinTheta_O
6.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
54.6%	1	`v`
54.6%	1	`sinTheta_i`
54.6%	1	`sinTheta_O`
54.6%	1	`cosTheta_O`
54.6%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.6%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.6%	1	`cosTheta_i`
54.6%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes48.0ms (0.2%)

Memory

8.9MiB live, 90.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`cosTheta_i`
54.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.5%	1	`sinTheta_O`
54.5%	1	`sinTheta_i`
54.5%	1	`v`
54.5%	1	`(*.f32 sinTheta_i sinTheta_O)`
54.5%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes44.0ms (0.2%)

Memory

-10.0MiB live, 108.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`cosTheta_i`
54.5%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.5%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.5%	1	`sinTheta_O`
54.5%	1	`sinTheta_i`
54.5%	1	`cosTheta_O`
54.5%	1	`v`
54.5%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes36.0ms (0.2%)

Memory

2.2MiB live, 82.7MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

8 calls:

6.0ms	cosTheta_O
4.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
4.0ms	v
4.0ms	sinTheta_O
4.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
54.4%	1	`cosTheta_i`
54.4%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.4%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.4%	1	`sinTheta_i`
54.4%	1	`sinTheta_O`
54.4%	1	`cosTheta_O`
54.4%	1	`v`
54.4%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes31.0ms (0.1%)

Memory

-3.1MiB live, 76.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	v
4.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
4.0ms	sinTheta_O
4.0ms	cosTheta_i
4.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
54.0%	1	`cosTheta_i`
54.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.0%	1	`sinTheta_i`
54.0%	1	`sinTheta_O`
54.0%	1	`v`
54.0%	1	`cosTheta_O`
54.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes25.0ms (0.1%)

Memory

2.3MiB live, 47.3MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.0%	1	`cosTheta_i`
54.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.0%	1	`sinTheta_i`
54.0%	1	`sinTheta_O`
54.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
54.0%	1	`v`
54.0%	1	`cosTheta_O`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes23.0ms (0.1%)

Memory

-1.3MiB live, 38.1MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

4.0ms	sinTheta_i
3.0ms	sinTheta_O
3.0ms	v
3.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
3.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
54.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.0%	1	`cosTheta_i`
54.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.0%	1	`sinTheta_i`
54.0%	1	`sinTheta_O`
54.0%	1	`(*.f32 sinTheta_i sinTheta_O)`
54.0%	1	`cosTheta_O`
54.0%	1	`v`

Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes35.0ms (0.2%)

Memory

-14.1MiB live, 25.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

8 calls:

24.0ms	sinTheta_i
2.0ms	(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
2.0ms	v
2.0ms	cosTheta_i
2.0ms	cosTheta_O

Results

Accuracy	Segments	Branch
54.0%	1	`sinTheta_i`
54.0%	1	`(*.f32 cosTheta_i cosTheta_O)`
54.0%	1	`(/.f32 (.f32 (exp.f32 (neg.f32 (/.f32 (.f32 sinTheta_i sinTheta_O) v))) (/.f32 (.f32 cosTheta_i cosTheta_O) v)) (.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))`
54.0%	1	`cosTheta_i`
54.0%	1	`sinTheta_O`
54.0%	1	`cosTheta_O`
54.0%	1	`v`
54.0%	1	`(*.f32 sinTheta_i sinTheta_O)`

Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify94.0ms (0.4%)

Memory

29.6MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Rules

914×	`distribute-lft-neg-in_binary32`
556×	`neg-mul-1_binary32`
494×	`unsub-neg_binary32`
470×	`neg-sub0_binary32`
320×	`sub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	373
1	174	372
2	216	372
3	277	371
4	338	371
5	402	371
6	485	371
7	686	371
8	1015	371
9	1434	371
10	1951	371
11	2360	371
12	2626	371
13	2770	371
14	2817	371
15	2824	371
16	2824	371

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.2s (10.1%)

Memory

27.5MiB live, 1 598.5MiB allocated

Rules

12 120×	`accelerator-lowering-fma.f32`
12 120×	`accelerator-lowering-fma.f64`
10 374×	`accelerator-lowering-fma.f32`
10 374×	`accelerator-lowering-fma.f64`
9 124×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	70
1	77	68
2	516	68
3	6807	68
0	8047	68
0	1481	18187
1	5059	17758
0	8270	17259
0	334	4121
1	1040	4000
2	3827	3767
3	7003	3766
0	8049	3724
0	825	15698
1	2772	15031
0	8487	14808
0	1281	19326
1	4482	18665
0	8525	18256
0	41	252
1	203	235
2	1623	235
3	6855	235
0	8518	235
0	57	350
1	306	340
2	2535	320
0	8946	308
0	58	365
1	316	339
2	2665	338
0	8715	323

Stop Event

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

Compiler

Compiled 1 355 to 783 computations (42.2% saved)

preprocess425.0ms (2%)

Memory

-7.8MiB live, 874.5MiB allocated

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 5 846 to 3 118 computations (46.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze890.0ms (4.1%)

sample2.6s (12.3%)

preprocess238.0ms (1.1%)

explain326.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify240.0ms (1.1%)

localize55.0ms (0.3%)

series55.0ms (0.3%)

rewrite307.0ms (1.4%)

simplify381.0ms (1.8%)

eval149.0ms (0.7%)

prune183.0ms (0.9%)

simplify295.0ms (1.4%)

localize147.0ms (0.7%)

series129.0ms (0.6%)

rewrite288.0ms (1.3%)

simplify1.0s (4.8%)

eval1.4s (6.5%)

prune685.0ms (3.2%)

simplify332.0ms (1.5%)

localize1.0s (4.7%)

series547.0ms (2.5%)

rewrite425.0ms (2%)

simplify534.0ms (2.5%)

eval183.0ms (0.9%)

prune313.0ms (1.5%)

simplify238.0ms (1.1%)

localize184.0ms (0.9%)

series144.0ms (0.7%)

rewrite352.0ms (1.6%)

simplify557.0ms (2.6%)

eval208.0ms (1%)

prune531.0ms (2.5%)

regimes452.0ms (2.1%)

regimes282.0ms (1.3%)

regimes275.0ms (1.3%)

regimes250.0ms (1.2%)

regimes266.0ms (1.2%)

regimes222.0ms (1%)

regimes236.0ms (1.1%)

regimes242.0ms (1.1%)

regimes321.0ms (1.5%)

regimes207.0ms (1%)

regimes208.0ms (1%)

regimes214.0ms (1%)

regimes159.0ms (0.7%)

regimes114.0ms (0.5%)

regimes69.0ms (0.3%)

regimes49.0ms (0.2%)

regimes48.0ms (0.2%)

regimes44.0ms (0.2%)

regimes36.0ms (0.2%)

regimes31.0ms (0.1%)

regimes25.0ms (0.1%)

regimes23.0ms (0.1%)

regimes35.0ms (0.2%)

simplify94.0ms (0.4%)

soundness2.2s (10.1%)

preprocess425.0ms (2%)

end0.0ms (0%)

Profiling